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

Details

Time bar (total: 10.9s)

analyze271.0ms (2.5%)

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

Compiled 18 to 15 computations (16.7% saved)

sample2.8s (25.5%)

Results
1.2s2070×body1024valid
1.1s5100×body256valid
470.0ms1081×body512valid
5.0ms5×body2048valid
Bogosity

preprocess18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 15 computations (16.7% saved)

simplify14.0ms (0.1%)

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)

prune5.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New145
Fresh011
Picked000
Done000
Total156
Accurracy
99.7%
Counts
6 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶78.8%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶78.8%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶78.8%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
▶99.3%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
▶78.8%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶78.8%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶78.8%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
▶99.3%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 124 to 100 computations (19.4% saved)

localize907.0ms (8.4%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(sin.f64 (*.f64 x 1/2))
✓99.7%
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
✓99.5%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
✓79.1%
(/.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 (*.f64 x 1/2))
✓99.6%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓99.6%
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓79.1%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
✓100.0%
(sin.f64 (*.f64 x 1/2))
✓99.6%
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓99.4%
(/.f64 8/3 (sin.f64 x))
✓79.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓100.0%
(sin.f64 (*.f64 x 1/2))
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
✓99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
✓99.5%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 191 to 141 computations (26.2% saved)

series16.0ms (0.2%)

Counts
16 → 184
Calls

48 calls:

TimeVariablePointExpression
8.0ms
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 8/3 (sin.f64 x))

rewrite163.0ms (1.5%)

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
023332
1482332
25575332
Stop Event
1×node limit
Counts
16 → 508
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 (*.f64 x 1/2))
(*.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 (*.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 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 -8/3 (neg.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 -1 (neg.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 -8/3 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) -8/3) (*.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (*.f64 1/2 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) (sin.f64 x))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
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(*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 1) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(-.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sqrt.f64 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1/2)
(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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fabs.f64 (sin.f64 (*.f64 x 1/2)))
(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))))

simplify247.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1476×fma-def
908×associate-/l*
654×log-prod
456×times-frac
450×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064019578
1152716756
2614116716
Stop Event
1×node limit
Counts
692 → 426
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(*.f64 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 1/18 (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)))
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(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 1) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(-.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sqrt.f64 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1/2)
(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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fabs.f64 (sin.f64 (*.f64 x 1/2)))
(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))))
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))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.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)))
(fma.f64 x 1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.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))))
(fma.f64 (pow.f64 x 7) 17/80640 (fma.f64 x 1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.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
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(*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (+.f64 1 (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 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(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 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(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 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(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 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(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 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(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 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2)))) 1)
(sin.f64 (*.f64 x 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 x 1/2))
(*.f64 1 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(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))
(sin.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (fabs.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 1)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1/2)
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 1/3)
(sin.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 2)
(sin.f64 (*.f64 x 1/2))
(sqrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))
(fabs.f64 (sin.f64 (*.f64 x 1/2)))
(sin.f64 (*.f64 x 1/2))
(log.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 x 1/2)))))
(sin.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(sin.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1))
(sin.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x 1/2))))
(sin.f64 (*.f64 x 1/2))

eval400.0ms (3.7%)

Compiler

Compiled 13632 to 10035 computations (26.4% saved)

prune178.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New73019749
Fresh000
Picked404
Done000
Total73419753
Accurracy
100.0%
Counts
753 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.1%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
58.0%
(/.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3)) (sin.f64 x))
▶58.1%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
25.0%
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
78.8%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
58.0%
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))
25.6%
(/.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))
58.0%
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
58.0%
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
▶78.8%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
58.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) -2))
25.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 1/4 (*.f64 x x)))
25.2%
(*.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))))
99.3%
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
▶99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶45.6%
(*.f64 2/3 x)
41.3%
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
▶58.1%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
58.0%
(/.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3)) (sin.f64 x))
▶58.1%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
25.0%
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
78.8%
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
58.0%
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))
25.6%
(/.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))
58.0%
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
58.0%
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
▶78.8%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
58.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) -2))
25.6%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 1/4 (*.f64 x x)))
25.2%
(*.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))))
99.3%
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
▶99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
▶45.6%
(*.f64 2/3 x)
41.3%
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
Compiler

Compiled 912 to 736 computations (19.3% saved)

localize877.0ms (8.1%)

Local Accuracy

Found 15 expressions with local accuracy:

NewAccuracyProgram
100.0%
(sin.f64 (*.f64 x 1/2))
✓99.6%
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
99.4%
(/.f64 8/3 (sin.f64 x))
✓79.0%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
✓100.0%
(cos.f64 x)
✓99.7%
(*.f64 (sin.f64 x) 3/8)
✓79.5%
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
✓79.0%
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
✓100.0%
(cos.f64 x)
✓99.8%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
✓79.4%
(-.f64 1 (cos.f64 x))
✓79.1%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
✓99.5%
(*.f64 2/3 x)
✓100.0%
(tan.f64 (/.f64 x 2))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Compiler

Compiled 124 to 84 computations (32.3% saved)

series61.0ms (0.6%)

Counts
13 → 112
Calls

39 calls:

TimeVariablePointExpression
49.0ms
x
@inf
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
2.0ms
x
@-inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
1.0ms
x
@inf
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@-inf
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@inf
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))

rewrite141.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
644×add-sqr-sqrt
604×pow1
602×add-exp-log
602×add-log-exp
602×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031211
1681203
Stop Event
1×node limit
Counts
13 → 307
Calls
Call 1
Inputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(tan.f64 (/.f64 x 2))
(*.f64 2/3 x)
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(cos.f64 x)
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 (sin.f64 x) 3/8)
(cos.f64 x)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(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))))
(-.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 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))) 1)
(-.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/4)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))
(*.f64 1 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (-.f64 1 (cos.f64 x)) (*.f64 4/3 (/.f64 1 (sin.f64 x))))
(*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (/.f64 1 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) 2) (cbrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (*.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))) (sqrt.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (*.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
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(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(fma.f64 1 (*.f64 (cos.f64 x) -1/2) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) 2) (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(/.f64 1 (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 x) 8/3)
(/.f64 (neg.f64 (sin.f64 x)) -8/3)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) 1)
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))

simplify201.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1772×log-prod
864×associate-*r*
824×associate-*l*
638×associate-/l*
522×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07489787
117299353
271899349
Stop Event
1×node limit
Counts
419 → 436
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.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 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 (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)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 1/4 (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 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))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(*.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 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))))
(-.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 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 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 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (/.f64 1 (-.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x)))))
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))) (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3))))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (-.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3))) (neg.f64 (-.f64 (+.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3) 1/8) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 (*.f64 (cos.f64 x) -1/2) 1/2))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4) (-.f64 (*.f64 (cos.f64 x) -1/2) 1/2))
(pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(fma.f64 1 (*.f64 (cos.f64 x) -1/2) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) 2) (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) (sqrt.f64 (*.f64 (cos.f64 x) -1/2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(/.f64 1 (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 x) 8/3)
(/.f64 (neg.f64 (sin.f64 x)) -8/3)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 (+.f64 1 (cos.f64 x)) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (pow.f64 (cos.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) 1)
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
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1
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(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 (pow.f64 x 7) -1/13440 (*.f64 x 3/8))))
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(*.f64 (sin.f64 x) 3/8)
1
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(cbrt.f64 (*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (+.f64 (*.f64 x 1/2) (*.f64 x 1/2)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 x 1))) 2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

eval267.0ms (2.5%)

Compiler

Compiled 7996 to 5664 computations (29.2% saved)

prune135.0ms (1.2%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New52713540
Fresh12214
Picked235
Done000
Total54118559
Accurracy
100.0%
Counts
559 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.9%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
44.8%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
97.8%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
✓58.1%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶25.7%
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
58.0%
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
25.6%
(/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (sin.f64 x) 3/8))
99.4%
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
25.6%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
▶99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
58.0%
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.4%
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
▶58.0%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 3/4)))
58.0%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -4/3 (neg.f64 (sin.f64 x))))
▶58.0%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
▶15.5%
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
21.9%
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
44.8%
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
97.8%
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
✓58.1%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
▶25.7%
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
58.0%
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
25.6%
(/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (sin.f64 x) 3/8))
99.4%
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
25.6%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
▶99.5%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
58.0%
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
99.4%
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
▶58.0%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 3/4)))
58.0%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -4/3 (neg.f64 (sin.f64 x))))
▶58.0%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
▶15.5%
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
Compiler

Compiled 662 to 534 computations (19.3% saved)

localize773.0ms (7.1%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 (sin.f64 x) 3/4)
✓99.6%
(/.f64 1 (*.f64 (sin.f64 x) 3/4))
79.4%
(-.f64 1 (cos.f64 x))
✓79.0%
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 3/4)))
100.0%
(cos.f64 x)
✓99.5%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
79.4%
(-.f64 1 (cos.f64 x))
✓79.0%
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
✓99.8%
(/.f64 (*.f64 x (*.f64 x 1/2)) 3/4)
✓79.2%
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
✓99.8%
(*.f64 (*.f64 x x) 4/9)
✓52.1%
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
100.0%
(sin.f64 (*.f64 x 1/2))
✓100.0%
(cos.f64 (*.f64 x 1/2))
✓99.7%
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
✓99.6%
(/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)
Compiler

Compiled 146 to 93 computations (36.3% saved)

series7.0ms (0.1%)

Counts
12 → 128
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
1.0ms
x
@-inf
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
0.0ms
x
@0
(*.f64 (*.f64 x x) 4/9)
0.0ms
x
@inf
(/.f64 1 (*.f64 (sin.f64 x) 3/4))
0.0ms
x
@-inf
(/.f64 1 (*.f64 (sin.f64 x) 3/4))

rewrite165.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
600×add-sqr-sqrt
574×pow1
574×*-un-lft-identity
558×add-exp-log
558×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028244
1616168
Stop Event
1×node limit
Counts
12 → 472
Calls
Call 1
Inputs
(/.f64 (cos.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(cos.f64 (*.f64 x 1/2))
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(*.f64 (*.f64 x x) 4/9)
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
(/.f64 (*.f64 x (*.f64 x 1/2)) 3/4)
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 3/4)))
(/.f64 1 (*.f64 (sin.f64 x) 3/4))
(*.f64 (sin.f64 x) 3/4)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) 1)
(*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)
(*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3/4))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 3/4))
(*.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) -3/4)
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) -4/3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))) 3/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) 1) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 3/4 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(*.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)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.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 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cos.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
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(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3/4)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 4/3) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 3/4 (sin.f64 x)) 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 4/3 (sin.f64 x)))) 1)
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) -3/4)))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -1))
(pow.f64 (*.f64 3/4 (sin.f64 x)) -1)
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x)))) 1)
(/.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 (*.f64 3/4 (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) -3/4) -1)
(pow.f64 (*.f64 3/4 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 3/4) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (sin.f64 x))))

simplify192.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1202×associate-/l*
1062×times-frac
924×associate-/r*
800×associate-*r/
714×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090713006
1230412856
Stop Event
1×node limit
Counts
600 → 521
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 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (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))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/384 (pow.f64 x 4))))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 4)))))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 1/2 x))
(cos.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 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.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 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 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 4/3 x)
(+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))
(+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (*.f64 31/11340 (pow.f64 x 5)) (+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(/.f64 4/3 (sin.f64 x))
(*.f64 3/4 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5)))))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) 1)
(*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)
(*.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3/4))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 3/4))
(*.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) -3/4)
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) -4/3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))) 3/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 4/3 (sin.f64 x))))
(+.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) 1) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 3/4 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(*.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)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
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(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) -1) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (sin.f64 x))) (*.f64 (+.f64 1 (cos.f64 x)) 3/4))
(/.f64 (*.f64 -1 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (*.f64 (sin.f64 x) -3/4) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) -3/4) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 3/4 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (*.f64 3/4 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (sqrt.f64 (*.f64 3/4 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 3/4 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -1) (*.f64 (sin.f64 x) -3/4))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 4/3 (neg.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3/4)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 4/3) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 3/4 (sin.f64 x)) 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 4/3 (sin.f64 x)))) 1)
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) -3/4)))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -1))
(pow.f64 (*.f64 3/4 (sin.f64 x)) -1)
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x)))) 1)
(/.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 (*.f64 3/4 (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) -3/4) -1)
(pow.f64 (*.f64 3/4 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 3/4) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (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 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.f64 (*.f64 x 1/2)))
(*.f64 3/4 (cos.f64 (*.f64 1/2 x)))
(*.f64 3/4 (cos.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))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(fma.f64 -1/8 (*.f64 x x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/384 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/384))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 (pow.f64 x 4) 1/384 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (fma.f64 -1/46080 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 1/384)))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (fma.f64 (pow.f64 x 4) 1/384 (*.f64 (pow.f64 x 6) -1/46080)))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/9))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/9))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/9)))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/9 (*.f64 (pow.f64 x 5) 7/540)))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/9))))
(fma.f64 (pow.f64 x 7) 31/22680 (fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/9 (*.f64 (pow.f64 x 5) 7/540))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 x (/.f64 (sin.f64 x) x)))
(*.f64 x (*.f64 2/3 (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 x (/.f64 (sin.f64 x) x)))
(*.f64 x (*.f64 2/3 (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 x (/.f64 (sin.f64 x) x)))
(*.f64 x (*.f64 2/3 (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 x (/.f64 (sin.f64 x) x)))
(*.f64 x (*.f64 2/3 (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 x (/.f64 (sin.f64 x) x)))
(*.f64 x (*.f64 2/3 (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 x (/.f64 (sin.f64 x) x)))
(*.f64 x (*.f64 2/3 (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 3/4 (sin.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
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(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 4/3 (neg.f64 (-.f64 1 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 3/4 (sin.f64 x)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 4/3 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 3/4)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 4/3) (sin.f64 x))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) 4/3) (neg.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) 2)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.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 (-.f64 1 (cos.f64 x))) 1) (sin.f64 x))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1 (cos.f64 x)) 3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 27/64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 3/4 (sin.f64 x)) 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 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)
(/.f64 4/3 (sin.f64 x))
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2))
(/.f64 4/3 (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(*.f64 -1 (/.f64 1 (*.f64 (sin.f64 x) -3/4)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(/.f64 4/3 (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 2)) (/.f64 1 (cbrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -1))
(pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) -2)
(pow.f64 (*.f64 3/4 (sin.f64 x)) -1)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(/.f64 4/3 (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) -2))
(fabs.f64 (/.f64 4/3 (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(/.f64 4/3 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))
(/.f64 4/3 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) -1))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (sin.f64 x))) 1))
(/.f64 4/3 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x)))) 1)
(*.f64 3/4 (sin.f64 x))
(/.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
(/.f64 (*.f64 3/4 (sin.f64 x)) 1)
(*.f64 3/4 (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) -3/4) -1)
(*.f64 3/4 (sin.f64 x))
(pow.f64 (*.f64 3/4 (sin.f64 x)) 1)
(*.f64 3/4 (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 3)
(*.f64 3/4 (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3) 1/3)
(*.f64 3/4 (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) 2)
(*.f64 3/4 (sin.f64 x))
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/16))
(log.f64 (pow.f64 (exp.f64 3/4) (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 3/4 (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3))
(*.f64 3/4 (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x))))
(*.f64 3/4 (sin.f64 x))
(exp.f64 (log.f64 (*.f64 3/4 (sin.f64 x))))
(*.f64 3/4 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) 1))
(*.f64 3/4 (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 3/4 (sin.f64 x))))
(*.f64 3/4 (sin.f64 x))

eval322.0ms (3%)

Compiler

Compiled 11894 to 8274 computations (30.4% saved)

prune123.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New7985803
Fresh8210
Picked415
Done123
Total81110821
Accurracy
100.0%
Counts
821 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
▶58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
▶99.8%
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
▶99.4%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶99.3%
(/.f64 1 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
99.4%
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
▶3.5%
(*.f64 x -2/3)
✓58.0%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
58.0%
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
▶58.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
▶99.8%
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
▶99.4%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
▶99.3%
(/.f64 1 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
99.4%
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
▶3.5%
(*.f64 x -2/3)
✓58.0%
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
Compiler

Compiled 294 to 246 computations (16.3% saved)

localize482.0ms (4.4%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
100.0%
(cos.f64 x)
✓99.7%
(*.f64 3/4 (sin.f64 x))
79.4%
(-.f64 1 (cos.f64 x))
✓79.1%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
✓100.0%
(tan.f64 (*.f64 x 1/2))
✓99.6%
(/.f64 1 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
✓99.6%
(/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
✓99.5%
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
✓100.0%
(tan.f64 (*.f64 x 1/2))
✓99.7%
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
✓99.5%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
✓99.5%
(*.f64 x -2/3)
✓100.0%
(tan.f64 (*.f64 x 1/2))
✓99.8%
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Compiler

Compiled 115 to 87 computations (24.3% saved)

series8.0ms (0.1%)

Counts
12 → 136
Calls

36 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
1.0ms
x
@inf
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
1.0ms
x
@inf
(/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
0.0ms
x
@-inf
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
0.0ms
x
@0
(/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))

rewrite156.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
746×expm1-udef
740×log1p-udef
560×prod-diff
442×add-sqr-sqrt
416×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023180
1510180
25791170
Stop Event
1×node limit
Counts
12 → 404
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(tan.f64 (*.f64 x 1/2))
(*.f64 x -2/3)
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 x 1/2))
(*.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)))))
(tan.f64 (*.f64 x 1/2))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
(*.f64 3/4 (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 -4/3 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(*.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))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
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(exp.f64 (log.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (sin.f64 x))))

simplify189.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1210×log-prod
544×associate-*l*
520×associate-*r*
504×log-div
494×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067116124
1159113546
2587513546
Stop Event
1×node limit
Counts
540 → 358
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 -2/3 x)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (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 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5)))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.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 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5)))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 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 3/4 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 -4/3 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(*.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))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.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 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 -1 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 1)
(/.f64 1 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 -1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -1)
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) -2))) (/.f64 1 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 1 (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2)) (pow.f64 (tan.f64 (*.f64 x 1/2)) -1/2))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -2/3))) 1)
(pow.f64 (*.f64 x -2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x -2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x -2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -2/3)) 2)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -2/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -2/3))))
(cbrt.f64 (pow.f64 (*.f64 x -2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x -2/3)))
(exp.f64 (log.f64 (*.f64 x -2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -2/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))) 1))) (fma.f64 (neg.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) 1 (*.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 4/3 (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))) (cbrt.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) 3/4) (/.f64 1 (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) 3/4)) (/.f64 1 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) 3/4) (/.f64 1 (sin.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2))))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) (/.f64 1 (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 1 (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 3/4 (sin.f64 x))))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 3/4 (sin.f64 x))))) (/.f64 1 (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 1 (sqrt.f64 (*.f64 3/4 (sin.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 3/4 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (*.f64 3/4 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) 3/4) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sin.f64 x))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) 3/4)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sin.f64 x)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) 3/4) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sin.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 3/4 (sin.f64 x))))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x))))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 3/4 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (*.f64 3/4 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) 1))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2))))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x))))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 1 (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) -3/4)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 3/4 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 3/4 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 3/4 (sin.f64 x)))))
(pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 3/4 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (/.f64 4/3 (sin.f64 x)))) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 4/3 (/.f64 (cos.f64 x) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x)))) 1)
(pow.f64 (*.f64 3/4 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3/4 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 9/16 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 3/4 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (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 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
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(exp.f64 (*.f64 (log.f64 (*.f64 3/4 (sin.f64 x))) 1))
(*.f64 3/4 (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 3/4 (sin.f64 x))))
(*.f64 3/4 (sin.f64 x))

eval212.0ms (1.9%)

Compiler

Compiled 9323 to 6732 computations (27.8% saved)

prune89.0ms (0.8%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New5277534
Fresh022
Picked235
Done123
Total53014544
Accurracy
100.0%
Counts
544 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.0%
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
45.8%
(/.f64 (*.f64 x 1/2) 3/4)
✓99.8%
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
45.6%
(/.f64 4/3 (/.f64 2 x))
✓99.4%
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
46.0%
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
45.5%
(/.f64 1 (/.f64 1 (*.f64 4/3 (*.f64 x 1/2))))
99.6%
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
46.0%
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
99.4%
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4))
99.4%
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
✓3.5%
(*.f64 x -2/3)
✓99.5%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
✓45.6%
(*.f64 2/3 x)
Compiler

Compiled 601 to 446 computations (25.8% saved)

regimes53.0ms (0.5%)

Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x -2/3)
(/.f64 4/3 (/.f64 2 x))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (/.f64 1 (*.f64 4/3 (*.f64 x 1/2))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.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 1/4 (*.f64 x x)))
(/.f64 1 (*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4))
(/.f64 1 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (sin.f64 x) 3/8))
(/.f64 (/.f64 (*.f64 x (*.f64 x 1/2)) 3/4) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 3/4 (sin.f64 x)))
(/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 -4/3 (neg.f64 (sin.f64 x))))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (+.f64 -1 (cos.f64 x)) -2))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3)) (sin.f64 x))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.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 (*.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))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

2 calls:

21.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
20.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 501 to 360 computations (28.1% saved)

regimes9.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 62 to 49 computations (21% saved)

regimes8.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
46.0%1x
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
46.0%1x
Compiler

Compiled 39 to 31 computations (20.5% saved)

regimes5.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x -2/3)
(/.f64 4/3 (/.f64 2 x))
(/.f64 (*.f64 x 1/2) 3/4)
(/.f64 1 (/.f64 1 (*.f64 4/3 (*.f64 x 1/2))))
Outputs
(/.f64 (*.f64 x 1/2) 3/4)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
45.8%1x
Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -27.7b remaining (-79.6%)

Threshold costs -27.7b (-79.6%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
45.6%1x
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
4×+-commutative
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030116
141116
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 2/3 x)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 4/3 (+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x))))
(/.f64 1 (+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x))))
(/.f64 1 (+.f64 (*.f64 x -1/8) (*.f64 (/.f64 1 x) 3/2)))
(/.f64 (*.f64 x 1/2) 3/4)
(*.f64 2/3 x)
(*.f64 x 2/3)
Compiler

Compiled 48 to 40 computations (16.7% saved)

soundness1.3s (12%)

Rules
1476×fma-def
1476×fma-def
1360×prod-diff
1360×prod-diff
1210×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
023332
1482332
25575332
064019578
1152716756
2614116716
028244
1616168
01543
12243
23343
34543
45643
56543
067116124
1159113546
2587513546
028244
1616168
028244
1616168
023332
1482332
25575332
064019578
1152716756
2614116716
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 1044 to 781 computations (25.2% saved)

end69.0ms (0.6%)

Compiler

Compiled 154 to 126 computations (18.2% saved)

Profiling

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