Details

Time bar (total: 9.6s)

analyze640.0ms (6.7%)

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

Compiled 18 to 15 computations (16.7% saved)

sample3.7s (38.7%)

Results
1.9s2079×body1024valid
1.2s5145×body256valid
631.0ms1026×body512valid
6.0msbody2048valid
Bogosity

preprocess18.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 18 to 15 computations (16.7% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval2.0ms (0%)

Compiler

Compiled 73 to 54 computations (26% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New145
Fresh011
Picked000
Done000
Total156
Accurracy
99.4%
Counts
6 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.1%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
72.1%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
72.1%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
99.1%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 62 to 50 computations (19.4% saved)

localize21.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
99.4%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Compiler

Compiled 46 to 31 computations (32.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1220×log-prod
686×pow-prod-down
558×pow-prod-up
484×pow-exp
476×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
012101
124681
2299581
Stop Event
node limit
Counts
3 → 102
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))
Outputs
(+.f64 0 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 1)
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (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) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(+.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))

simplify73.0ms (0.8%)

Algorithm
egg-herbie
Rules
1362×times-frac
1326×fma-def
1046×unswap-sqr
742×distribute-lft-in
702×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02943932
16533796
219613780
Stop Event
node limit
Counts
138 → 154
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 0 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 1)
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(+.f64 0 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (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) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 4))
(log.f64 (exp.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(+.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(*.f64 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 (pow.f64 x 5) 1/480 (*.f64 x 1/4)))
(fma.f64 x 1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 (pow.f64 x 5) 1/480)))
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1/2
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(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) -1/2))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2) 1/2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) 1/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) -1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1/3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

localize19.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
99.4%
(/.f64 8/3 (sin.f64 x))
72.4%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
Compiler

Compiled 40 to 28 computations (30% saved)

series2.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1240×prod-diff
1180×log-prod
688×pow-prod-down
560×pow-prod-up
504×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01261
125861
2332261
Stop Event
node limit
Counts
3 → 108
Calls
Call 1
Inputs
(*.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)))
Outputs
(+.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (*.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (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)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.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)))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.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 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 2/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))

simplify80.0ms (0.8%)

Algorithm
egg-herbie
Rules
1658×times-frac
1194×associate-/l*
1012×associate-/r*
480×log-prod
320×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03153524
17363160
227132672
Stop Event
node limit
Counts
136 → 166
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 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(+.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (*.f64 2 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (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)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.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)))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.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 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 2/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.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 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x)))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 5) 31/5670 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 (*.f64 1/4 x) x)
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 (*.f64 1/4 x) x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
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(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)
(/.f64 8/3 (sin.f64 x))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(fabs.f64 (/.f64 8/3 (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(/.f64 8/3 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(/.f64 8/3 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) 1))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(/.f64 8/3 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(+.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/4 (cos.f64 x)))))
(/.f64 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/4 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x)))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (fma.f64 1/2 (cos.f64 x) 1/2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 2/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 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)
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(fma.f64 -1/2 (cos.f64 x) 1/2)

localize23.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
99.6%
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
72.5%
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
Compiler

Compiled 47 to 35 computations (25.5% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite75.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1282×prod-diff
1276×log-prod
562×pow-prod-up
506×pow-exp
454×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01256
125756
2343156
Stop Event
node limit
Counts
2 → 78
Calls
Call 1
Inputs
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
Outputs
(+.f64 0 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 8/3 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))))
(*.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 (*.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 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.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 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (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 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))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (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)) (pow.f64 (cbrt.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 (*.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))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.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))))
(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 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(log.f64 (exp.f64 (*.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 (+.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 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) -1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 1 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(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))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))

simplify68.0ms (0.7%)

Algorithm
egg-herbie
Rules
1718×fma-def
1366×times-frac
780×unswap-sqr
618×associate-/r*
470×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02523818
16283304
223782966
Stop Event
node limit
Counts
102 → 142
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 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(+.f64 0 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 8/3 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2))))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))))
(*.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 (*.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 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.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 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (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 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))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (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)) (pow.f64 (cbrt.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 (*.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))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.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))))
(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 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) -1)
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(log.f64 (exp.f64 (*.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 (+.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 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) -1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 1 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(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))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.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 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
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(/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (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 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (sqrt.f64 (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 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (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 (fma.f64 (cos.f64 x) -4/3 4/3)) (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.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))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) -1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(log.f64 (exp.f64 (*.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 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (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))))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.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 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (log.f64 (*.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 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))) 1/3))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (sqrt.f64 (sin.f64 x)))) 2))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (*.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) -1))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.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 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(+.f64 0 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (log.f64 (sqrt.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 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) 2)
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3) 1/3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(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 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(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 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(cbrt.f64 (pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(expm1.f64 (log1p.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1) 1))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1/3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)

localize25.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
99.4%
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
72.5%
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 54 to 43 computations (20.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite89.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1344×log-prod
722×pow-prod-down
586×pow-prod-up
512×pow-exp
502×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01593
128973
2343573
Stop Event
node limit
Counts
3 → 99
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))
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
Outputs
(+.f64 0 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.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 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.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 (pow.f64 (cbrt.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 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (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 (*.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 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))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.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))) (pow.f64 (cbrt.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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (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 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3) 1/3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) -1)
(neg.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (*.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 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) (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 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.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 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(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 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(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 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/3)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))

simplify82.0ms (0.9%)

Algorithm
egg-herbie
Rules
1640×fma-def
1102×times-frac
978×associate-*r/
782×associate-*l/
572×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03094543
17484407
225154067
Stop Event
node limit
Counts
135 → 183
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(+.f64 0 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2))) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.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 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.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 (pow.f64 (cbrt.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 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (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 (*.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 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))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.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))) (pow.f64 (cbrt.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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (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 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3) 1/3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) -1)
(neg.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (*.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 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) (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 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.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 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(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 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(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 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/3)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.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 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 4/3 (*.f64 (pow.f64 x 5) 1/1440)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))))
(fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 4/3 (*.f64 (pow.f64 x 5) 1/1440))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
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(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))

eval241.0ms (2.5%)

Compiler

Compiled 11723 to 8475 computations (27.7% saved)

prune117.0ms (1.2%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New67527702
Fresh000
Picked101
Done303
Total67927706
Accurracy
100.0%
Counts
706 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(pow.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
46.3%
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
71.2%
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
46.5%
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
72.1%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
72.1%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
47.0%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
46.9%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
46.9%
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
71.3%
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
46.9%
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
29.9%
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
54.5%
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))) (sin.f64 x))
29.7%
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
46.9%
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
71.4%
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
99.2%
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
99.2%
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
72.1%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
70.7%
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6))
29.7%
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (*.f64 1/4 x) x))
46.9%
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
29.9%
(*.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))))
46.3%
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
72.0%
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
56.8%
(*.f64 2/3 x)
Compiler

Compiled 708 to 586 computations (17.2% saved)

localize9.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1706×pow1
1580×add-exp-log
1580×log1p-expm1-u
1580×expm1-log1p-u
1546×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118917
2215317
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Outputs
(-.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(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)))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))

simplify82.0ms (0.9%)

Algorithm
egg-herbie
Rules
2154×log-prod
1224×fma-neg
838×fma-def
672×distribute-lft-out
636×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063761
1150695
2408629
31875629
44991629
57437629
Stop Event
node limit
Counts
25 → 31
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 (+.f64 1 (*.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 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(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)))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.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 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (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 4/3 (/.f64 (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 4/3 (/.f64 (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 4/3 (/.f64 (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 4/3 (/.f64 (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 4/3 (/.f64 (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 4/3 (/.f64 (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 4/3 (/.f64 (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 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (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)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (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))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

localize3.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.4%
(*.f64 2/3 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite46.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
884×pow1
860×add-sqr-sqrt
842×*-un-lft-identity
816×add-exp-log
816×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 2/3 x)
Outputs
(+.f64 0 (*.f64 2/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(exp.f64 (log.f64 (*.f64 2/3 x)))
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
1586×log-prod
1574×fma-def
1114×fma-neg
534×*-commutative
498×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043154
194140
2308116
32250116
45035116
57283116
Stop Event
node limit
Counts
14 → 18
Calls
Call 1
Inputs
(+.f64 0 (*.f64 2/3 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(pow.f64 (*.f64 2/3 x) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(exp.f64 (log.f64 (*.f64 2/3 x)))
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))
Outputs
(+.f64 0 (*.f64 2/3 x))
(*.f64 2/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) x))))
(*.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 2/3 x)) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 2/3 x) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 2/3 x) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(*.f64 2/3 x)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 2/3 x) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 2/3 x)))
(*.f64 2/3 x)

localize17.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
99.4%
(*.f64 x 4/3)
72.5%
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 35 to 24 computations (31.4% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1292×log-prod
746×pow-prod-down
560×pow-prod-up
486×pow-exp
446×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01263
124763
2311363
Stop Event
node limit
Counts
3 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 x 4/3)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
Outputs
(+.f64 0 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 x (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 x 4/3) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 x 4/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x 4/3) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (*.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 x (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x 4/3) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 x 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1) (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) 1) -1)
(neg.f64 (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3))) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 x 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 4/3))) 1)
(pow.f64 (*.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 4/3)) 3)
(pow.f64 (*.f64 (*.f64 x x) 16/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 4/3)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/3))))
(cbrt.f64 (pow.f64 (*.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 4/3)))
(exp.f64 (log.f64 (*.f64 x 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 4/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 4/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 4/3)))
(+.f64 0 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 1)
(pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))

simplify76.0ms (0.8%)

Algorithm
egg-herbie
Rules
1092×unswap-sqr
1026×associate-/r*
666×log-prod
396×associate-*r*
354×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02943908
17333794
229333782
Stop Event
node limit
Counts
136 → 153
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 61/69120 (pow.f64 x 7)) (*.f64 5/576 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 4/3 x)
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/36 (pow.f64 x 4)))
(+.f64 (*.f64 1/2880 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/36 (pow.f64 x 4))))
(+.f64 (*.f64 1/2880 (pow.f64 x 6)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/483840 (pow.f64 x 8)) (*.f64 -1/36 (pow.f64 x 4)))))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 1/2 x)) x))
(+.f64 0 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 x (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 x 4/3) (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 x 4/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x 4/3) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (*.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 x (neg.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x 4/3) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 x 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 x 4/3) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) 1) (/.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1) (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) 1) -1)
(neg.f64 (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3))) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(+.f64 0 (*.f64 x 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 4/3))) 1)
(pow.f64 (*.f64 x 4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 4/3)) 3)
(pow.f64 (*.f64 (*.f64 x x) 16/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 4/3)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/3))))
(cbrt.f64 (pow.f64 (*.f64 x 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 4/3)))
(exp.f64 (log.f64 (*.f64 x 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 4/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 4/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 4/3)))
(+.f64 0 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 1)
(pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/12 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/12 (pow.f64 x 3)))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 5/576 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 5/576 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 5/576 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 61/69120 (pow.f64 x 7)) (*.f64 5/576 (pow.f64 x 5)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 61/69120 (pow.f64 x 7) (*.f64 5/576 (pow.f64 x 5)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 5/576 (pow.f64 x 5) (*.f64 61/69120 (pow.f64 x 7)))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) x) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 4/3 x)
(*.f64 x 4/3)
(*.f64 4/3 x)
(*.f64 x 4/3)
(*.f64 4/3 x)
(*.f64 x 4/3)
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(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
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(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 x (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 x (/.f64 (sqrt.f64 (sin.f64 x)) 4/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1) (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/4)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2) 1/2)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -1)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (/.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(pow.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) 1) -1)
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -2))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 3))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1/3))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3))) -1))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 x 4/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) x))
(*.f64 4/3 (*.f64 x (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(+.f64 0 (*.f64 x 4/3))
(*.f64 x 4/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) x))))
(*.f64 x 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 4/3))) 1)
(*.f64 x 4/3)
(pow.f64 (*.f64 x 4/3) 1)
(*.f64 x 4/3)
(pow.f64 (cbrt.f64 (*.f64 x 4/3)) 3)
(*.f64 x 4/3)
(pow.f64 (*.f64 (*.f64 x x) 16/9) 1/2)
(sqrt.f64 (*.f64 (*.f64 x x) 16/9))
(fabs.f64 (*.f64 x 4/3))
(pow.f64 (pow.f64 (*.f64 x 4/3) 3) 1/3)
(*.f64 x 4/3)
(pow.f64 (sqrt.f64 (*.f64 x 4/3)) 2)
(*.f64 x 4/3)
(sqrt.f64 (*.f64 (*.f64 x x) 16/9))
(fabs.f64 (*.f64 x 4/3))
(log.f64 (pow.f64 (exp.f64 4/3) x))
(*.f64 x 4/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 4/3))))
(*.f64 x 4/3)
(cbrt.f64 (pow.f64 (*.f64 x 4/3) 3))
(*.f64 x 4/3)
(expm1.f64 (log1p.f64 (*.f64 x 4/3)))
(*.f64 x 4/3)
(exp.f64 (log.f64 (*.f64 x 4/3)))
(*.f64 x 4/3)
(exp.f64 (*.f64 (log.f64 (*.f64 x 4/3)) 1))
(*.f64 x 4/3)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 4/3)) 1) 1))
(*.f64 x 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 4/3))) 3))
(*.f64 x 4/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 4/3))) 1/3))
(*.f64 x 4/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 4/3))) 2))
(*.f64 x 4/3)
(log1p.f64 (expm1.f64 (*.f64 x 4/3)))
(*.f64 x 4/3)
(+.f64 0 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 1)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 1)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 3)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 2) 1/2)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 2)
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/3) x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))) 3))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))) 1) 1))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 3))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 1/3))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2)))))) 2))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (*.f64 x (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 x 4/3) (sin.f64 (*.f64 x 1/2)))

localize18.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (sin.f64 x) 3/8)
99.7%
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
72.3%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
Compiler

Compiled 35 to 25 computations (28.6% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite82.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1210×log-prod
618×pow-prod-down
568×pow-prod-up
492×pow-exp
460×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361
126961
2317061
Stop Event
node limit
Counts
3 → 98
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (sin.f64 x) 3/8)
Outputs
(+.f64 0 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 1 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (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 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.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))) (sin.f64 x)) 8/3)
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) 3/8) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 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) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) 1) -1)
(neg.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))
(*.f64 (pow.f64 (cbrt.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))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))

simplify71.0ms (0.7%)

Algorithm
egg-herbie
Rules
1358×fma-def
1224×times-frac
908×associate-/l*
748×associate-/r*
548×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02973684
17053568
221673350
Stop Event
node limit
Counts
134 → 176
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 (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 3/8 x)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(+.f64 0 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 1 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 8/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (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 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.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))) (sin.f64 x)) 8/3)
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) 3/8) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 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) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) 1) -1)
(neg.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))
(+.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))
(*.f64 (pow.f64 (cbrt.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))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 5) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.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 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(*.f64 (*.f64 1/4 x) x)
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 x (*.f64 x 1/4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 (*.f64 1/4 x) x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))
(fma.f64 -1/48 (pow.f64 x 4) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 (*.f64 1/4 x) x)))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 -1/48 (pow.f64 x 4) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 (*.f64 1/4 x) x))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 3/8 x)
(*.f64 x 3/8)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))
(fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16)))
(fma.f64 x 3/8 (fma.f64 (pow.f64 x 5) 1/320 (*.f64 (pow.f64 x 3) -1/16)))
(+.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))))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8))))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/8 (*.f64 (pow.f64 x 7) -1/13440))))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (fma.f64 (pow.f64 x 7) -1/13440 (*.f64 (pow.f64 x 3) -1/16))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(+.f64 0 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 5) (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 x)) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(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)
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) 3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))))
(*.f64 (sin.f64 x) 3/8)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 (sin.f64 x) 3/8)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(log.f64 (pow.f64 (exp.f64 3/8) (sin.f64 x)))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 (sin.f64 x) 3/8)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1) 1))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2))
(*.f64 (sin.f64 x) 3/8)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)

localize23.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
99.5%
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
72.5%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
Compiler

Compiled 44 to 35 computations (20.5% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
1.0ms
x
@0
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
1.0ms
x
@-inf
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
1.0ms
x
@0
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
0.0ms
x
@-inf
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)

rewrite79.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1254×log-prod
702×pow-prod-down
598×pow-prod-up
538×pow-exp
480×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01485
128977
2332777
Stop Event
node limit
Counts
3 → 103
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
Outputs
(+.f64 0 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.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 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.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 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.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))) (pow.f64 (cbrt.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 8/3 (pow.f64 (cbrt.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))))
(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 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)) 1/2)
(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 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) -1)
(neg.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (*.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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) (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 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) -1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 8/3) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(*.f64 1 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3/2) (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 8/3))
(*.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 5/6) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 0 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))

simplify93.0ms (1%)

Algorithm
egg-herbie
Rules
1168×times-frac
562×associate-/r*
546×log-prod
478×associate-+l+
436×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03395347
18184573
232004417
Stop Event
node limit
Counts
139 → 199
Calls
Call 1
Inputs
(*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/80640 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/20160 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2))))) (*.f64 1/120 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))))))) (pow.f64 x 7)) (*.f64 (-.f64 (*.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4))) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2304 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 1/3840 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 6))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/2304 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 1/3840 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 6)) (*.f64 (+.f64 (*.f64 -1/645120 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/92160 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 8)))))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 1/2 (*.f64 (sqrt.f64 8/3) x))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 8/3) x)) (*.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3))))
(+.f64 (*.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 8/3) x)) (*.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3)))))
(+.f64 (*.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 8/3) x)) (+.f64 (*.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3))) (*.f64 -1/645120 (*.f64 (sqrt.f64 8/3) (pow.f64 x 7))))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(+.f64 0 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.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 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.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 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.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 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.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))) (pow.f64 (cbrt.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 8/3 (pow.f64 (cbrt.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))))
(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 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)) 1/2)
(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 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) -1)
(neg.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (*.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (*.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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) (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 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) -1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (sqrt.f64 8/3) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 8/3) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(*.f64 1 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3/2) (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 8/3))
(*.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 5/6) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(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 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 0 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)
(sqrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(fabs.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x))
(*.f64 x 2/3)
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)))
(fma.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x) (*.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (pow.f64 x 3)))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5))))
(fma.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (pow.f64 x 3) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (fma.f64 -1/6 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/480))) (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x)) (+.f64 (*.f64 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (*.f64 -1/80640 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/20160 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2))))) (*.f64 1/120 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2))))))) (pow.f64 x 7)) (*.f64 (-.f64 (*.f64 1/1440 (pow.f64 (sqrt.f64 8/3) 2)) (+.f64 (*.f64 -1/6 (-.f64 (*.f64 -1/48 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/24 (pow.f64 (sqrt.f64 8/3) 2)))) (*.f64 1/480 (pow.f64 (sqrt.f64 8/3) 2)))) (pow.f64 x 5)))))
(fma.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (pow.f64 x 3) (fma.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) -1/80640) (fma.f64 -1/20160 (pow.f64 (sqrt.f64 8/3) 2) (fma.f64 -1/6 (-.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (fma.f64 -1/6 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/480))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) 1/120)))) (pow.f64 x 7) (*.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (fma.f64 -1/6 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/48) (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/480))) (pow.f64 x 5)))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2)))
(*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (*.f64 x x)))
(*.f64 (*.f64 x 2/3) x)
(*.f64 (*.f64 x x) 2/3)
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4))) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2))))
(fma.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4)) (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (*.f64 x x))))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 (*.f64 x 2/3) x))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) 2/3))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2304 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 1/3840 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 6))))
(fma.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4)) (fma.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (*.f64 x x)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (*.f64 (*.f64 x x) 2/3)))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/2304 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 1/3840 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 6)) (*.f64 (+.f64 (*.f64 -1/645120 (pow.f64 (sqrt.f64 8/3) 2)) (*.f64 -1/92160 (pow.f64 (sqrt.f64 8/3) 2))) (pow.f64 x 8)))))
(fma.f64 -1/48 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 x 4)) (fma.f64 1/4 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (*.f64 x x)) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) 1/1440) (pow.f64 x 6) (*.f64 (*.f64 (pow.f64 (sqrt.f64 8/3) 2) -1/80640) (pow.f64 x 8)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sqrt.f64 8/3) 2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1/2 (*.f64 (sqrt.f64 8/3) x))
(*.f64 (sqrt.f64 8/3) (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 8/3) x)) (*.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3))))
(fma.f64 1/2 (*.f64 (sqrt.f64 8/3) x) (*.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3))))
(fma.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (*.f64 (sqrt.f64 8/3) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (+.f64 (*.f64 x 1/2) (*.f64 -1/48 (pow.f64 x 3))))
(+.f64 (*.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 8/3) x)) (*.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3)))))
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(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 0 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(sqrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3/2)
(pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 3)
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/6)
(pow.f64 (*.f64 512/27 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(fabs.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1/2))
(sqrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1/2))
(sqrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 3))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3)) 1/3))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 2))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))

eval209.0ms (2.2%)

Compiler

Compiled 9797 to 7265 computations (25.8% saved)

prune98.0ms (1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New56215577
Fresh19322
Picked101
Done134
Total58321604
Accurracy
100.0%
Counts
604 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -1)
46.4%
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
28.6%
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
55.9%
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
29.7%
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (*.f64 x 1/2)) 2) (sin.f64 x))
72.1%
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
47.0%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
46.8%
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
46.9%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
29.7%
(/.f64 (*.f64 (*.f64 x x) 2/3) (sin.f64 x))
29.7%
(/.f64 (*.f64 (*.f64 x 2/3) x) (sin.f64 x))
29.7%
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
54.5%
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))) (sin.f64 x))
99.4%
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
47.5%
(-.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
99.6%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
47.0%
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
56.8%
(*.f64 2/3 x)
18.6%
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
Compiler

Compiled 413 to 335 computations (18.9% saved)

localize19.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
99.8%
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
99.7%
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
Compiler

Compiled 40 to 28 computations (30% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1234×log-prod
768×pow-prod-down
562×pow-prod-up
492×pow-exp
458×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01260
125650
2325350
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
Outputs
(+.f64 0 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (/.f64 3/8 (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 3/8 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
(/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sin.f64 x))
(/.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (neg.f64 (sin.f64 x)) -3/8))
(/.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 -3/8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 3/8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 (sin.f64 x)) 3/8))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (*.f64 -3/8 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 -3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (neg.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) -3/8)
(/.f64 (neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) -3/8)
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -3/8)
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)
(pow.f64 (/.f64 3/8 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) -1)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(+.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -8/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3)
(pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2)
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(sqrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))

simplify95.0ms (1%)

Algorithm
egg-herbie
Rules
1182×associate-/r*
926×fma-def
894×log-prod
842×associate-*l*
598×log-div
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02663497
16373413
218703199
369213199
Stop Event
node limit
Counts
121 → 142
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(+.f64 0 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (*.f64 (/.f64 3/8 (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 3/8 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
(/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sin.f64 x))
(/.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (neg.f64 (sin.f64 x)) -3/8))
(/.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 -3/8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 x) -3/8))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 3/8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (*.f64 (neg.f64 (sin.f64 x)) 3/8))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (*.f64 -3/8 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 -3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (neg.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) -3/8)
(/.f64 (neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) -3/8)
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -3/8)
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)
(pow.f64 (/.f64 3/8 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) -1)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) -1)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(+.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -8/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3)
(pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(pow.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2)
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(pow.f64 (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 1) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(sqrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 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 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
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(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x 1/2)))) -3/8)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -3/8)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (neg.f64 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 3)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) -1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (/.f64 3/8 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) -1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3)) -1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(log.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1) 1))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 3))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 6)) 1/3))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) 2))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 4))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(+.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -8/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (+.f64 32/9 (*.f64 (*.f64 (cos.f64 x) -1/2) 64/9)))
(sqrt.f64 (+.f64 32/9 (*.f64 (cos.f64 x) -32/9)))
(pow.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3) 1/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) 1) -1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (+.f64 32/9 (*.f64 (*.f64 (cos.f64 x) -1/2) 64/9)))
(sqrt.f64 (+.f64 32/9 (*.f64 (cos.f64 x) -32/9)))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -3)) 1/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) 2))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) -1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))

localize6.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.7%
(*.f64 4/9 (*.f64 x x))
54.1%
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 4/9 (*.f64 x x))
0.0ms
x
@inf
(*.f64 4/9 (*.f64 x x))
0.0ms
x
@0
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))

rewrite56.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1366×pow1
1266×add-exp-log
1266×log1p-expm1-u
1266×expm1-log1p-u
1236×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
116220
2183520
Stop Event
node limit
Counts
2 → 38
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(*.f64 4/9 (*.f64 x x))
Outputs
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 x 2/3)
(*.f64 x (pow.f64 4/9 1/2))
(*.f64 (*.f64 x 2/3) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 4/9 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (pow.f64 4/9 1/2) x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/2))
(*.f64 (pow.f64 (*.f64 4/9 x) 1/2) (sqrt.f64 x))
(pow.f64 (*.f64 4/9 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(fabs.f64 (*.f64 x 2/3))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(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)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (+.f64 1 (*.f64 4/9 (*.f64 x x))) 1)
(pow.f64 (*.f64 4/9 (*.f64 x x)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 16/81) 1/2)
(pow.f64 (pow.f64 (*.f64 4/9 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16/81))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 4/9 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 4/9 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 4/9 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 4/9 (*.f64 x x))))

simplify64.0ms (0.7%)

Algorithm
egg-herbie
Rules
1264×fma-def
1184×log-prod
1124×distribute-rgt-in
1106×distribute-lft-in
722×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087686
1195674
2616666
32566666
47427666
Stop Event
node limit
Counts
62 → 47
Calls
Call 1
Inputs
(*.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 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 x 2/3)
(*.f64 x (pow.f64 4/9 1/2))
(*.f64 (*.f64 x 2/3) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 4/9 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (pow.f64 4/9 1/2) x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/2))
(*.f64 (pow.f64 (*.f64 4/9 x) 1/2) (sqrt.f64 x))
(pow.f64 (*.f64 4/9 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(fabs.f64 (*.f64 x 2/3))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(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)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (+.f64 1 (*.f64 4/9 (*.f64 x x))) 1)
(pow.f64 (*.f64 4/9 (*.f64 x x)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 16/81) 1/2)
(pow.f64 (pow.f64 (*.f64 4/9 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 16/81))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 4/9 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 4/9 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 4/9 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 4/9 (*.f64 x x))))
Outputs
(*.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 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 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x (pow.f64 4/9 1/2))
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(*.f64 1 (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 4/9 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (fabs.f64 (cbrt.f64 (*.f64 2/3 x))))
(*.f64 (cbrt.f64 (*.f64 2/3 x)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))))
(*.f64 (pow.f64 4/9 1/2) x)
(*.f64 2/3 x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))) (fabs.f64 (cbrt.f64 (*.f64 2/3 x))))
(*.f64 (cbrt.f64 (*.f64 2/3 x)) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 16/81))))
(*.f64 (pow.f64 (*.f64 4/9 x) 1/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))
(pow.f64 (*.f64 4/9 (*.f64 x x)) 1/2)
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(fabs.f64 (*.f64 x 2/3))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 4/9 (*.f64 x x))) 1)
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 4/9 (*.f64 x x)) 1)
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 x 2/3) 2)
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 (pow.f64 x 4) 16/81) 1/2)
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (pow.f64 (*.f64 4/9 (*.f64 x x)) 3) 1/3)
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(sqrt.f64 (*.f64 (pow.f64 x 4) 16/81))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(cbrt.f64 (pow.f64 (*.f64 4/9 (*.f64 x x)) 3))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(expm1.f64 (log1p.f64 (*.f64 4/9 (*.f64 x x))))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(exp.f64 (log.f64 (*.f64 4/9 (*.f64 x x))))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(log1p.f64 (expm1.f64 (*.f64 4/9 (*.f64 x x))))
(*.f64 4/9 (*.f64 x x))
(*.f64 x (*.f64 x 4/9))

localize13.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (sin.f64 x) 3/8)
72.5%
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))
Compiler

Compiled 28 to 17 computations (39.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))
1.0ms
x
@-inf
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))
0.0ms
x
@0
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))

rewrite72.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1344×log-prod
694×pow-prod-down
516×pow-prod-up
444×pow-exp
438×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
123323
2315223
Stop Event
node limit
Counts
1 → 71
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))
Outputs
(+.f64 0 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1)
(*.f64 1/4 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 1/4 (*.f64 (*.f64 x x) (/.f64 8/3 (sin.f64 x))))
(*.f64 x (*.f64 (*.f64 1/4 x) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 1/4 x) (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 1/4 x) (*.f64 x (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(*.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (*.f64 1/2 x) (*.f64 (*.f64 1/2 x) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.f64 (/.f64 x (/.f64 (sin.f64 x) 1/4)) (*.f64 x 8/3))
(*.f64 (*.f64 x 8/3) (/.f64 x (/.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 1/4 (*.f64 x x)))
(*.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (sin.f64 x))) 8/3)
(*.f64 (/.f64 x 1) (/.f64 (*.f64 1/4 x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 (*.f64 1/4 x) 3/8))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/2 x) 1) (/.f64 (*.f64 1/2 x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/2 x) (sin.f64 x)) (/.f64 (*.f64 1/2 x) 3/8))
(*.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (*.f64 x x) 3/8))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/4 x) 3/8) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (*.f64 1/4 x) (*.f64 (sin.f64 x) 3/8)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 1/4 x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (*.f64 1/4 x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 1/4 (*.f64 x x)) 3/8))
(*.f64 8/3 (*.f64 1/4 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sin.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 3/8))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 3/8) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/2 x) 3/8) (/.f64 (*.f64 1/2 x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) 1) -1)
(neg.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x)))) -1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))

simplify97.0ms (1%)

Algorithm
egg-herbie
Rules
2080×log-prod
956×times-frac
730×associate-/l/
728×fma-def
688×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02182575
16012535
220192535
378962535
Stop Event
node limit
Counts
83 → 109
Calls
Call 1
Inputs
(*.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 0 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1)
(*.f64 1/4 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 1/4 (*.f64 (*.f64 x x) (/.f64 8/3 (sin.f64 x))))
(*.f64 x (*.f64 (*.f64 1/4 x) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 1/4 x) (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) x))))
(*.f64 (*.f64 1/4 x) (*.f64 x (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(*.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (*.f64 1/2 x) (*.f64 (*.f64 1/2 x) (/.f64 8/3 (sin.f64 x))))
(*.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.f64 (/.f64 x (/.f64 (sin.f64 x) 1/4)) (*.f64 x 8/3))
(*.f64 (*.f64 x 8/3) (/.f64 x (/.f64 (sin.f64 x) 1/4)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 1/4 (*.f64 x x)))
(*.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (sin.f64 x))) 8/3)
(*.f64 (/.f64 x 1) (/.f64 (*.f64 1/4 x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 (*.f64 1/4 x) 3/8))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/2 x) 1) (/.f64 (*.f64 1/2 x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/2 x) (sin.f64 x)) (/.f64 (*.f64 1/2 x) 3/8))
(*.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (*.f64 x x) 3/8))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/4 x) 3/8) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (*.f64 1/4 x) (*.f64 (sin.f64 x) 3/8)) x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 1/4 x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (*.f64 1/4 x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 1/4 (*.f64 x x)) 3/8))
(*.f64 8/3 (*.f64 1/4 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sin.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 3/8))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 3/8) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/2 x) 3/8) (/.f64 (*.f64 1/2 x) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) 1) -1)
(neg.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x)))) -1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(+.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 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 7/540 (pow.f64 x 5) (*.f64 2/3 x)))
(+.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 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (fma.f64 7/540 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(+.f64 0 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (*.f64 x x) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (*.f64 x x) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (*.f64 x x) (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x (/.f64 x (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (/.f64 (*.f64 x x) (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (*.f64 x (/.f64 x (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 1/4 (/.f64 (*.f64 x x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 1/4 (*.f64 (*.f64 x x) (/.f64 8/3 (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 x (*.f64 (*.f64 1/4 x) (/.f64 8/3 (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 1/4 x) (/.f64 1 (*.f64 3/8 (/.f64 (sin.f64 x) x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 1/4 x) (*.f64 x (/.f64 8/3 (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (/.f64 8/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 1/2 x) (*.f64 (*.f64 1/2 x) (/.f64 8/3 (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 -1/4 (*.f64 x x)) (/.f64 1 (*.f64 (sin.f64 x) -3/8)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 x (/.f64 (sin.f64 x) 1/4)) (*.f64 x 8/3))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 x 8/3) (/.f64 x (/.f64 (sin.f64 x) 1/4)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 1/4 (*.f64 x x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (*.f64 1/4 (/.f64 (*.f64 x x) (sin.f64 x))) 8/3)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 1/4 x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 1/4 x) 1) (/.f64 x (*.f64 (sin.f64 x) 3/8)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 x (sin.f64 x)) (/.f64 (*.f64 1/4 x) 3/8))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (*.f64 1/2 x) 1) (/.f64 (*.f64 1/2 x) (*.f64 (sin.f64 x) 3/8)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 1/2 x) (sin.f64 x)) (/.f64 (*.f64 1/2 x) 3/8))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1/4 (sin.f64 x)) (/.f64 (*.f64 x x) 3/8))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) x))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 (/.f64 1/4 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(/.f64 (/.f64 1/4 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/4 x) 3/8) (/.f64 x (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 1/4 x) (*.f64 (sin.f64 x) 3/8)) x)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 1/4 x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) x))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (*.f64 1/4 x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(/.f64 (/.f64 1/4 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/4 x) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 x (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(/.f64 (/.f64 1/4 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (*.f64 1/4 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) x))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 1/4 (*.f64 x x)) 3/8))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 8/3 (*.f64 1/4 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (*.f64 1/4 (*.f64 x x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (/.f64 (*.f64 (*.f64 x x) 1/4) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (*.f64 1/4 (*.f64 x (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -2) (*.f64 (*.f64 x x) (/.f64 1/4 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (*.f64 1/4 (*.f64 x x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (*.f64 (*.f64 x x) 1/4) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 (*.f64 x x) 1/4)))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -1/2) (/.f64 1/4 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (*.f64 x x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sin.f64 x)) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) 3/8))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) 3/8) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (*.f64 (sin.f64 x) 3/8)))
(/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))
(*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))) (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (*.f64 1/2 x) 3/8) (/.f64 (*.f64 1/2 x) (sin.f64 x)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(*.f64 (/.f64 (*.f64 1/2 x) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) x)))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) x))
(*.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 x (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))))
(pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2) 1/2)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 6) (*.f64 (pow.f64 (sin.f64 x) 3) 27/512)))
(pow.f64 (/.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) 1) -1)
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (sin.f64 x) -3/8)))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 x) 6) (pow.f64 (*.f64 (sin.f64 x) 3/8) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x 1/2) 6) (*.f64 (pow.f64 (sin.f64 x) 3) 27/512)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1) 1))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 3))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1/3))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x)))) -1))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (*.f64 x (/.f64 x (sin.f64 x))))

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
99.8%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
98.7%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1098×log-prod
632×pow-prod-down
508×pow-prod-up
472×pow-exp
422×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01155
123855
2312745
Stop Event
node limit
Counts
3 → 140
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 3/4)
Outputs
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(-.f64 (/.f64 1 (*.f64 3/4 (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))
(*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 3/4 (sin.f64 x))))
(*.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 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 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 (tan.f64 (/.f64 x 2)) 3/4)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 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))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1) (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(pow.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) (sin.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) -1)
(pow.f64 (/.f64 (*.f64 3/4 (sin.f64 x)) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(+.f64 0 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(+.f64 4/3 (neg.f64 (*.f64 (cos.f64 x) 4/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3))
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 1)
(*.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(*.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 3)
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9) 1/2)
(pow.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2)
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))
(log.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))
(cbrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3))
(expm1.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))

simplify77.0ms (0.8%)

Algorithm
egg-herbie
Rules
978×unswap-sqr
528×log-prod
498×div-sub
414×exp-prod
380×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03793794
18883430
230413422
Stop Event
node limit
Counts
168 → 208
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) -1)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (neg.f64 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (cos.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(fma.f64 1 (neg.f64 (cos.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) 1)
(fma.f64 -1 (cos.f64 x) 1)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1)
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1)
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(-.f64 (/.f64 1 (*.f64 3/4 (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 3/4 (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (*.f64 (cos.f64 x) 4/3) (sin.f64 x)))
(*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1 (*.f64 3/4 (sin.f64 x))))
(*.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 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 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 (tan.f64 (/.f64 x 2)) 3/4)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 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))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (/.f64 4/3 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) 1) (/.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1) (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 3)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(pow.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) (sin.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) -1)
(pow.f64 (/.f64 (*.f64 3/4 (sin.f64 x)) (-.f64 1 (cos.f64 x))) -1)
(neg.f64 (/.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(+.f64 0 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(+.f64 4/3 (neg.f64 (*.f64 (cos.f64 x) 4/3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3))
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 1)
(*.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(*.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 3)
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9) 1/2)
(pow.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2)
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(pow.f64 (/.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) 1) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))
(log.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))
(cbrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3))
(expm1.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(*.f64 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))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) 2/3)
(*.f64 x (*.f64 x 2/3))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) 2/3))
(fma.f64 (*.f64 x x) 2/3 (*.f64 (pow.f64 x 4) -1/18))
(fma.f64 (pow.f64 x 4) -1/18 (*.f64 x (*.f64 x 2/3)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/540)))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (*.f64 x x) 2/3 (*.f64 (pow.f64 x 6) 1/540)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/540))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (*.f64 x x) 2/3 (fma.f64 (pow.f64 x 6) 1/540 (*.f64 (pow.f64 x 8) -1/30240))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 4/3 (neg.f64 (*.f64 (cos.f64 x) 4/3)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(-.f64 4/3 (*.f64 (cos.f64 x) 4/3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 1 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (-.f64 1 (cos.f64 x)) 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2) (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 4/3 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 4/3 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 4/3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(pow.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3) 1/3)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 2)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) -1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (/.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x))) 1) -1)
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) -3/4))
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -3/4)
(+.f64 4/3 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 16/9))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(log.f64 (exp.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(cbrt.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(expm1.f64 (log1p.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))) 1) 1))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)) 3)) 1/3))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3)))) 2))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (-.f64 1 (cos.f64 x)))) -1))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(log1p.f64 (expm1.f64 (-.f64 4/3 (*.f64 (cos.f64 x) 4/3))))
(*.f64 4/3 (-.f64 1 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)

localize22.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 1 (sin.f64 x))
99.8%
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8)
99.8%
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))
98.7%
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
Compiler

Compiled 44 to 29 computations (34.1% saved)

series5.0ms (0%)

Counts
4 → 32
Calls

12 calls:

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

rewrite95.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1372×log-prod
638×pow-prod-up
600×pow-exp
532×expm1-udef
528×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01484
130972
2397268
Stop Event
node limit
Counts
4 → 186
Calls
Call 1
Inputs
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8)
(/.f64 1 (sin.f64 x))
Outputs
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(+.f64 1/2 (*.f64 (*.f64 (cos.f64 x) -1/2) 1))
(+.f64 0 (fma.f64 (cos.f64 x) -1/2 1/2))
(+.f64 (*.f64 (cos.f64 x) -1/2) 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 1)
(*.f64 1 (fma.f64 (cos.f64 x) -1/2 1/2))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 1 (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))))
(/.f64 1 (/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (fma.f64 1/2 (cos.f64 x) 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (neg.f64 (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (+.f64 1/4 (-.f64 (pow.f64 (*.f64 (cos.f64 x) -1/2) 2) (*.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (cos.f64 x) -1/2) 2)) (-.f64 1/2 (*.f64 (cos.f64 x) -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)
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) -1)
(pow.f64 (/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(fma.f64 1/2 (neg.f64 (cos.f64 x)) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(fma.f64 1 (*.f64 (cos.f64 x) -1/2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2) (neg.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x))) (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x)))) 1/2)
(fma.f64 -1 (*.f64 1/2 (cos.f64 x)) 1/2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) (cbrt.f64 (*.f64 (cos.f64 x) -1/2))) (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)
(fma.f64 (neg.f64 (cos.f64 x)) 1/2 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1/2)
(fma.f64 (*.f64 -1/2 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1/2)
(+.f64 0 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (/.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 (sin.f64 x) 8/3))
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 1 (*.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(/.f64 1 (/.f64 3/8 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(/.f64 -1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 -1 (*.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sin.f64 x) -3/8))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (neg.f64 (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (*.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (*.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 3/8)
(/.f64 (*.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) (*.f64 (neg.f64 (sin.f64 x)) -3/8))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) -1) (*.f64 3/8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) (*.f64 -3/8 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) -1) (*.f64 -3/8 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) -3/8)
(/.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) -3/8)
(/.f64 (*.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -1 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 1 (sin.f64 x))) -3/8)
(/.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1) (sin.f64 x))
(/.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
(pow.f64 (*.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (cos.f64 x) -1/2 1/2)) -1)
(pow.f64 (/.f64 (sin.f64 x) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) -1)
(pow.f64 (/.f64 3/8 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) -3) (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) (pow.f64 (sin.f64 x) -3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(+.f64 0 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(+.f64 4/3 (neg.f64 (/.f64 (cos.f64 x) 3/4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) (cbrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3)
(*.f64 1 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(*.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) -8/3)
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1)
(pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 3)
(pow.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2)
(pow.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) -1)
(pow.f64 (/.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) -3/8))
(sqrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 2))
(log.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(cbrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3))
(expm1.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(exp.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(log1p.f64 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (sin.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(pow.f64 (sqrt.f64 (sin.f64 x)) -2)
(pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) -1)
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (sin.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -1/2)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))

simplify94.0ms (1%)

Algorithm
egg-herbie
Rules
746×div-sub
696×cancel-sign-sub-inv
500×log-prod
474×times-frac
426×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04845508
110955300
241705300
Stop Event
node limit
Counts
218 → 257
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(+.f64 1/2 (*.f64 (*.f64 (cos.f64 x) -1/2) 1))
(+.f64 0 (fma.f64 (cos.f64 x) -1/2 1/2))
(+.f64 (*.f64 (cos.f64 x) -1/2) 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 1)
(*.f64 1 (fma.f64 (cos.f64 x) -1/2 1/2))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 1 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 1 (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))))
(/.f64 1 (/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (fma.f64 1/2 (cos.f64 x) 1/2))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (neg.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (neg.f64 (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (+.f64 1/4 (-.f64 (pow.f64 (*.f64 (cos.f64 x) -1/2) 2) (*.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 (cos.f64 x) -1/2) 2)) (-.f64 1/2 (*.f64 (cos.f64 x) -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)
(pow.f64 (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) -1)
(pow.f64 (/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) -1)
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -1/2 1/2)))
(fma.f64 1/2 (neg.f64 (cos.f64 x)) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(fma.f64 1 (*.f64 (cos.f64 x) -1/2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2) (neg.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x))) (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x)))) 1/2)
(fma.f64 -1 (*.f64 1/2 (cos.f64 x)) 1/2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) -1/2)) (cbrt.f64 (*.f64 (cos.f64 x) -1/2))) (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)
(fma.f64 (neg.f64 (cos.f64 x)) 1/2 1/2)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) 1/2)
(fma.f64 (*.f64 -1/2 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) 1/2)
(+.f64 0 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (/.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 (sin.f64 x) 3/8)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 (sin.f64 x) 8/3))
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 1 (*.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 1 (/.f64 (sin.f64 x) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(/.f64 1 (/.f64 3/8 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(/.f64 -1 (*.f64 (neg.f64 (sin.f64 x)) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))))
(/.f64 -1 (*.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sin.f64 x) -3/8))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (neg.f64 (sin.f64 x)) 3/8))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (neg.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (*.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (*.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 1/2 (cos.f64 x) 1/2)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)) 3/8)
(/.f64 (*.f64 -1 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) (*.f64 (neg.f64 (sin.f64 x)) -3/8))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) -1) (*.f64 3/8 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) (*.f64 -3/8 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) -1) (*.f64 -3/8 (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) -3/8)
(/.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2))) -3/8)
(/.f64 (*.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) -1) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 -1 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (/.f64 1 (sin.f64 x))) -3/8)
(/.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1) (sin.f64 x))
(/.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))) -1)
(pow.f64 (*.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) (sin.f64 x)) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (fma.f64 (cos.f64 x) -1/2 1/2)) -1)
(pow.f64 (/.f64 (sin.f64 x) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) -1)
(pow.f64 (/.f64 3/8 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) -3) (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) (pow.f64 (sin.f64 x) -3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))
(+.f64 0 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(+.f64 4/3 (neg.f64 (/.f64 (cos.f64 x) 3/4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) (cbrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(-.f64 (exp.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 8/3)
(*.f64 1 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(*.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 2)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2) (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) 8/3))
(*.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -1/2 1/2)) -8/3)
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 1)
(pow.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 3)
(pow.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 2)
(pow.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) -1)
(pow.f64 (/.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) -3/8))
(sqrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 2))
(log.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(cbrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3))
(expm1.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(exp.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(log1p.f64 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (sin.f64 x) -3) 1/3)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(pow.f64 (sqrt.f64 (sin.f64 x)) -2)
(pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) -1)
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (sin.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -1/2)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6)))))
(*.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)))))
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(pow.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) -1)
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (/.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2)) 1) -1)
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) -3/8))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(sqrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(log.f64 (exp.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(cbrt.f64 (pow.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) 3))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(expm1.f64 (log1p.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))) 1) 1))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 3))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 1/3))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))) 2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (fma.f64 (cos.f64 x) -1/2 1/2))) -1))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(log1p.f64 (expm1.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 0 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(/.f64 1 (sin.f64 x))
(*.f64 -1 (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(pow.f64 (sin.f64 x) -1)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) -3) 1/3)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(/.f64 1 (sin.f64 x))
(pow.f64 (sqrt.f64 (sin.f64 x)) -2)
(pow.f64 (neg.f64 (neg.f64 (sin.f64 x))) -1)
(/.f64 1 (sin.f64 x))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(/.f64 1 (sin.f64 x))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(cbrt.f64 (pow.f64 (sin.f64 x) -3))
(/.f64 1 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) -1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) -1) 1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1) 1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (sin.f64 x)))) 3))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -3)) 1/3))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) -1/2)) 2))
(/.f64 1 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))

eval284.0ms (3%)

Compiler

Compiled 13322 to 9325 computations (30% saved)

prune143.0ms (1.5%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New8597866
Fresh9413
Picked101
Done347
Total87215887
Accurracy
100.0%
Counts
887 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
47.0%
(/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 3/4) (sin.f64 x))
46.8%
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
46.9%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
29.4%
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 x 3/8))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
46.9%
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
47.5%
(-.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
99.8%
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
46.7%
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
3.7%
(*.f64 x -2/3)
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
56.8%
(*.f64 2/3 x)
18.6%
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
18.6%
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
Compiler

Compiled 252 to 206 computations (18.3% saved)

localize13.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1812×pow1
1692×add-exp-log
1692×log1p-expm1-u
1692×expm1-log1p-u
1656×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
119717
2230417
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
Outputs
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 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 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 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)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))

simplify55.0ms (0.6%)

Algorithm
egg-herbie
Rules
1334×fma-def
1154×log-prod
944×associate-*r*
818×associate-*l*
658×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0821043
1189905
2552767
33423767
Stop Event
node limit
Counts
35 → 39
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 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 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 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 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)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
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))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 1/18 (pow.f64 x 3)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

localize3.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.4%
(*.f64 x -2/3)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
884×pow1
860×add-sqr-sqrt
842×*-un-lft-identity
816×add-exp-log
816×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211117
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 x -2/3)
Outputs
(+.f64 0 (*.f64 x -2/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(-.f64 (+.f64 1 (*.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))
(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)))
(log1p.f64 (expm1.f64 (*.f64 x -2/3)))

simplify65.0ms (0.7%)

Algorithm
egg-herbie
Rules
1582×log-prod
1574×fma-def
1110×fma-neg
518×associate-*r*
512×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044238
194224
2309200
32201200
44992200
57216200
Stop Event
node limit
Counts
26 → 18
Calls
Call 1
Inputs
(*.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 0 (*.f64 x -2/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(-.f64 (+.f64 1 (*.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))
(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)))
(log1p.f64 (expm1.f64 (*.f64 x -2/3)))
Outputs
(*.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 0 (*.f64 x -2/3))
(*.f64 -2/3 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)) (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2/3) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2/3) x))))
(*.f64 -2/3 x)
(-.f64 (+.f64 1 (*.f64 x -2/3)) 1)
(*.f64 -2/3 x)
(pow.f64 (*.f64 x -2/3) 1)
(*.f64 -2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x -2/3)) 3)
(*.f64 -2/3 x)
(pow.f64 (pow.f64 (*.f64 x -2/3) 3) 1/3)
(*.f64 -2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x -2/3)) 2)
(*.f64 -2/3 x)
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(*.f64 -2/3 x)
(log.f64 (pow.f64 (exp.f64 -2/3) x))
(*.f64 -2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x -2/3) 3))
(*.f64 -2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x -2/3)))
(*.f64 -2/3 x)
(exp.f64 (log.f64 (*.f64 x -2/3)))
(*.f64 -2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x -2/3)))
(*.f64 -2/3 x)

localize7.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 x (*.f64 x 4/9))
99.4%
(*.f64 x 4/9)
54.1%
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x 4/9)
0.0ms
x
@0
(*.f64 x 4/9)
0.0ms
x
@inf
(*.f64 x 4/9)
0.0ms
x
@0
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))

rewrite62.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1400×pow1
1294×add-exp-log
1294×log1p-expm1-u
1294×expm1-log1p-u
1264×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0837
116127
2181927
Stop Event
node limit
Counts
3 → 47
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(*.f64 x 4/9)
(*.f64 x (*.f64 x 4/9))
Outputs
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 x 2/3)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 2/3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/2))
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 4/9 1/2))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(fabs.f64 (*.f64 x 2/3))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (+.f64 1 (*.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 4/9) 1)
(pow.f64 (cbrt.f64 (*.f64 x 4/9)) 3)
(pow.f64 (pow.f64 (*.f64 x 4/9) 3) 1/3)
(pow.f64 (*.f64 2/3 (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 16/81 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 4/9) x))
(cbrt.f64 (pow.f64 (*.f64 x 4/9) 3))
(expm1.f64 (log1p.f64 (*.f64 x 4/9)))
(exp.f64 (log.f64 (*.f64 x 4/9)))
(log1p.f64 (expm1.f64 (*.f64 x 4/9)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 4/9))) 1)
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/9) x) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))

simplify68.0ms (0.7%)

Algorithm
egg-herbie
Rules
1738×log-prod
904×fma-neg
692×sqr-pow
616×cube-prod
612×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103725
1240725
2852725
32898725
45450725
Stop Event
node limit
Counts
83 → 55
Calls
Call 1
Inputs
(*.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 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(*.f64 4/9 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 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 x 2/3)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 2/3 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/2))
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 4/9 1/2))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(fabs.f64 (*.f64 x 2/3))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (+.f64 1 (*.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 4/9) 1)
(pow.f64 (cbrt.f64 (*.f64 x 4/9)) 3)
(pow.f64 (pow.f64 (*.f64 x 4/9) 3) 1/3)
(pow.f64 (*.f64 2/3 (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 16/81 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 4/9) x))
(cbrt.f64 (pow.f64 (*.f64 x 4/9) 3))
(expm1.f64 (log1p.f64 (*.f64 x 4/9)))
(exp.f64 (log.f64 (*.f64 x 4/9)))
(log1p.f64 (expm1.f64 (*.f64 x 4/9)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 4/9))) 1)
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/9) x) x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))
Outputs
(*.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 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 -2/3 x)
(*.f64 x -2/3)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(*.f64 1 (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 x) (*.f64 2/3 (sqrt.f64 x)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 2/3 x)
(*.f64 (pow.f64 1 1/2) (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/2))
(*.f64 2/3 x)
(*.f64 (pow.f64 (*.f64 x x) 1/2) (pow.f64 4/9 1/2))
(*.f64 2/3 x)
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(fabs.f64 (*.f64 x 2/3))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(-.f64 (+.f64 1 (*.f64 x 4/9)) 1)
(*.f64 x 4/9)
(pow.f64 (*.f64 x 4/9) 1)
(*.f64 x 4/9)
(pow.f64 (cbrt.f64 (*.f64 x 4/9)) 3)
(*.f64 x 4/9)
(pow.f64 (pow.f64 (*.f64 x 4/9) 3) 1/3)
(*.f64 x 4/9)
(pow.f64 (*.f64 2/3 (sqrt.f64 x)) 2)
(*.f64 x 4/9)
(sqrt.f64 (*.f64 16/81 (*.f64 x x)))
(*.f64 x 4/9)
(log.f64 (pow.f64 (exp.f64 4/9) x))
(*.f64 x 4/9)
(cbrt.f64 (pow.f64 (*.f64 x 4/9) 3))
(*.f64 x 4/9)
(expm1.f64 (log1p.f64 (*.f64 x 4/9)))
(*.f64 x 4/9)
(exp.f64 (log.f64 (*.f64 x 4/9)))
(*.f64 x 4/9)
(log1p.f64 (expm1.f64 (*.f64 x 4/9)))
(*.f64 x 4/9)
(-.f64 (+.f64 1 (*.f64 x (*.f64 x 4/9))) 1)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(pow.f64 (*.f64 x 2/3) 2)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2) 1/2)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3) 1/3)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 2))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 4/9) x) x))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 4/9)) 3))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 2/3 x) 2)

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (cos.f64 x) 3/4)
99.8%
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
98.5%
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
0.0ms
x
@-inf
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
0.0ms
x
@inf
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
0.0ms
x
@-inf
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
0.0ms
x
@0
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))

rewrite110.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1136×log-prod
616×pow-prod-down
520×pow-prod-up
494×pow-exp
450×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01155
124555
2323347
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (cos.f64 x) 3/4)
Outputs
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -4/3) 1))
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(+.f64 0 (fma.f64 (cos.f64 x) -4/3 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) (/.f64 1 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9)))
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))))
(/.f64 1 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (neg.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))) (neg.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9)))
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (+.f64 16/9 (-.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))) -1)
(pow.f64 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (neg.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 4/3)
(fma.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (neg.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 4/3)
(fma.f64 (neg.f64 (cos.f64 x)) 4/3 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 2) (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 -1 (*.f64 4/3 (cos.f64 x)) 4/3)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2)) (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 4/3)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 4/3)
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))) (sqrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x)))))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) 1 (*.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)) 1)))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) 2) (*.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))) 2))))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) 1)))) (fma.f64 (neg.f64 (/.f64 4/3 (sin.f64 x))) (/.f64 (cos.f64 x) 1) (*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) 1))))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 4/3 (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 4/3 (cbrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 4/3 (cbrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x)))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (*.f64 4/3 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (*.f64 4/3 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (*.f64 4/3 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
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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 (*.f64 4/3 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2)))) (fma.f64 (neg.f64 (/.f64 (*.f64 4/3 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (*.f64 (/.f64 (*.f64 4/3 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) -2))))
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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 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 0 (*.f64 4/3 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 1 (*.f64 4/3 (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 4/3))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 3/4 (cos.f64 x)) 1) -1)
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (cos.f64 x))) -1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))

simplify116.0ms (1.2%)

Algorithm
egg-herbie
Rules
1034×unswap-sqr
648×fma-neg
500×log-prod
454×exp-prod
390×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05439051
113257619
243615983
Stop Event
node limit
Counts
225 → 259
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
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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 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (sqrt.f64 (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 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 1)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 1) (*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 4/3 (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 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1)
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 0 (*.f64 4/3 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 1 (*.f64 4/3 (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 4/3))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 3/4 (cos.f64 x)) 1) -1)
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (cos.f64 x))) -1))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
Outputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.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)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.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))
(fma.f64 2/3 x (*.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))))
(+.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)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) -2/3))
(fma.f64 (*.f64 x x) -2/3 4/3)
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3)))
(+.f64 4/3 (fma.f64 (*.f64 x x) -2/3 (*.f64 (pow.f64 x 4) 1/18)))
(+.f64 (fma.f64 (*.f64 x x) -2/3 4/3) (*.f64 (pow.f64 x 4) 1/18))
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(+.f64 4/3 (fma.f64 -1/540 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3))))
(+.f64 4/3 (fma.f64 (pow.f64 x 6) -1/540 (fma.f64 (*.f64 x x) -2/3 (*.f64 (pow.f64 x 4) 1/18))))
(+.f64 (fma.f64 (pow.f64 x 6) -1/540 (*.f64 (pow.f64 x 4) 1/18)) (fma.f64 (*.f64 x x) -2/3 4/3))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -4/3) 1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 0 (fma.f64 (cos.f64 x) -4/3 4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
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(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 1 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 -4/3 (/.f64 (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 4/3))
(+.f64 0 (*.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 4/3 (cos.f64 x))
(*.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 1 (*.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 4/3 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) 4/3))
(*.f64 4/3 (cos.f64 x))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 4/3))
(*.f64 4/3 (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27) 1/3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 (/.f64 3/4 (cos.f64 x)) 1) -1)
(*.f64 4/3 (cos.f64 x))
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(/.f64 (neg.f64 (cos.f64 x)) -3/4)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 (cos.f64 x) -4/3))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(*.f64 4/3 (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27))
(*.f64 4/3 (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1) 1))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 3))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 64/27)) 1/3))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 3) 1/3))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 2))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (cos.f64 x))) -1))
(*.f64 4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))

localize16.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.8%
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
99.4%
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
Compiler

Compiled 32 to 25 computations (21.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite80.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1088×log-prod
602×prod-exp
586×pow-prod-down
502×pow-prod-up
440×pow-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01150
122550
2274434
Stop Event
node limit
Counts
2 → 81
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
Outputs
(+.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (*.f64 16/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)
(sqrt.f64 (*.f64 16/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 0 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.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 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) 1/2)
(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)
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (log.f64 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))

simplify62.0ms (0.6%)

Algorithm
egg-herbie
Rules
1408×fma-def
1180×associate-/l*
1076×times-frac
662×unswap-sqr
544×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02462903
15862835
218772827
Stop Event
node limit
Counts
105 → 123
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(+.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (*.f64 16/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)
(sqrt.f64 (*.f64 16/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 0 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.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 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2) 1/2)
(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)
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (log.f64 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/2880 (pow.f64 x 5) (*.f64 -1/36 (pow.f64 x 3))))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 -1/483840 (pow.f64 x 7) (*.f64 2/3 x))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/18))
(+.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 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 3) 1/18)))
(+.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 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 2/3 x))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 2/3 x (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 7) 17/30240))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(+.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 16/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(sqrt.f64 (*.f64 16/9 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 8/9 (*.f64 16/9 (*.f64 (cos.f64 x) -1/2))))
(sqrt.f64 (*.f64 16/9 (fma.f64 (cos.f64 x) -1/2 1/2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(sqrt.f64 (*.f64 16/9 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 8/9 (*.f64 16/9 (*.f64 (cos.f64 x) -1/2))))
(sqrt.f64 (*.f64 16/9 (fma.f64 (cos.f64 x) -1/2 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) 1))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 2))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(+.f64 0 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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)) 4/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.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 4/3 (tan.f64 (*.f64 x 1/2)))
(*.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 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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)) -4/3) (/.f64 1 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.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 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3))
(/.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) -2) (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(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))) 2) 1/2)
(*.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)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)) 1/3)
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 64/27) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(pow.f64 (/.f64 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1) -1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (*.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 (sin.f64 (*.f64 x 1/2)) 4/3) 3) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 64/27) (pow.f64 (cos.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 2))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) -1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (log.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (*.f64 (log.f64 (cos.f64 (*.f64 x 1/2))) 1)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.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)))

eval188.0ms (2%)

Compiler

Compiled 9239 to 6220 computations (32.7% saved)

prune72.0ms (0.7%)

Pruning

14 alts after pruning (5 fresh and 9 done)

PrunedKeptTotal
New4931494
Fresh246
Picked011
Done088
Total49514509
Accurracy
100.0%
Counts
509 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.0%
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
46.8%
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
46.9%
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
29.4%
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 x 3/8))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
46.9%
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
47.5%
(-.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
99.6%
(+.f64 0 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1))
99.8%
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
3.7%
(*.f64 x -2/3)
99.4%
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
56.8%
(*.f64 2/3 x)
18.6%
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
18.6%
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
Compiler

Compiled 128 to 105 computations (18% saved)

regimes58.0ms (0.6%)

Counts
54 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x -2/3)
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 x 3/8))
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (*.f64 x 2/3) x) (sin.f64 x))
(/.f64 (*.f64 (*.f64 x x) 2/3) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (*.f64 1/4 x) x))
(-.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 1)
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 (sin.f64 x) 3/8))
(pow.f64 (cbrt.f64 (*.f64 2/3 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 2/3 x)) 2)
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (sin.f64 x))
(+.f64 0 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.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 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8))
(/.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 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 x 4/3)) -1)
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) 3/4) (sin.f64 x))
(*.f64 8/3 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6))
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
Outputs
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
Calls

2 calls:

23.0ms
x
19.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%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 620 to 446 computations (28.1% saved)

regimes7.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 36 to 25 computations (30.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -34.8b remaining (-125.8%)

Threshold costs -34.8b (-125.8%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 x -2/3)
(/.f64 (*.f64 (*.f64 1/4 x) x) (*.f64 x 3/8))
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
Outputs
(*.f64 2/3 x)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
56.8%1x
Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
+-lft-identity
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
11841
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 2/3 x)
Outputs
(+.f64 0 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 2/3 x)
(*.f64 x 2/3)
Compiler

Compiled 18 to 15 computations (16.7% saved)

soundness547.0ms (5.7%)

Rules
1718×fma-def
1658×times-frac
1366×times-frac
1282×prod-diff
1276×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56543
01256
125756
2343156
02523818
16283304
223782966
01155
123855
2312745
01543
12243
23343
34543
45643
56543
01543
12243
23343
34543
45643
56543
01261
125861
2332261
03153524
17363160
227132672
Stop Event
node limit
node limit
saturated
saturated
node limit
node limit
node limit
saturated
Compiler

Compiled 933 to 694 computations (25.6% saved)

end22.0ms (0.2%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

Profiling

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