Details

Time bar (total: 9.7s)

analyze418.0ms (4.3%)

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)

sample3.4s (34.7%)

Results
1.7s2050×body1024valid
1.2s5161×body256valid
453.0ms1037×body512valid
9.0msbody2048valid
Bogosity

preprocess6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
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 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (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
24×*-commutative
16×associate-/l*
16×associate-/r/
associate-*r*
associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
Stop Event
saturated
Counts
1 → 4
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 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 59 to 44 computations (25.4% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New134
Fresh011
Picked000
Done000
Total145
Error
14.7b
Counts
5 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
14.9b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
14.9b
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
14.9b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
Compiler

Compiled 47 to 38 computations (19.1% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
0.3b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
14.7b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite108.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1758×associate-*r/
1484×associate-*l/
1222×associate-/r*
958×associate-/l*
264×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01277
125777
2340275
Stop Event
node limit
Counts
3 → 264
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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(pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 1/2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 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2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 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(*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))))

simplify155.0ms (1.6%)

Algorithm
egg-herbie
Rules
1408×distribute-lft-in
1112×associate-/l/
726×times-frac
724×associate-/r/
650×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070211930
1178610686
2693610686
Stop Event
node limit
Counts
300 → 395
Calls
Call 1
Inputs
(*.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))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))) 1)
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (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 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3))) 1)
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(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log.f64 (+.f64 3/2 (*.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))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(fma.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)))
(fma.f64 1/48 (pow.f64 x 3) (fma.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))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 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 (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 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(+.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 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(*.f64 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 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.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)))))
(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 (exp.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(-.f64 (/.f64 1/2 (sin.f64 x)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2)))
(-.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) 1/2))
(+.f64 (/.f64 1/2 (sin.f64 x)) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) -1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 (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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 3)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3) 1/3)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) -1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 1))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3))) 1)
(*.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 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) 8/3))
(*.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 8/3 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
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(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 1 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (/.f64 2 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (/.f64 2 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (-.f64 1 (cos.f64 x)))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 2 (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 (cos.f64 x) (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 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.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 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (*.f64 1/4 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2)
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))
(*.f64 -1 (*.f64 (sin.f64 (/.f64 (neg.f64 x) 2)) (sin.f64 (/.f64 x 2))))
(neg.f64 (*.f64 (sin.f64 (/.f64 (neg.f64 x) 2)) (sin.f64 (/.f64 x 2))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (fma.f64 1/2 (cos.f64 x) 1/2))
(/.f64 (*.f64 1 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.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 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (*.f64 1/4 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 1) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (fma.f64 1/2 (cos.f64 x) 1/2))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 1) (+.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (*.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 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (+.f64 1/4 (*.f64 1/4 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) 1/2) (+.f64 (cos.f64 0) (cos.f64 x)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 x) (cos.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) 1/2))
(/.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 0) 3) (pow.f64 (cos.f64 x) 3)) 1/2) (+.f64 (+.f64 (*.f64 (cos.f64 0) (cos.f64 0)) (*.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (cos.f64 0) (cos.f64 x))))
(/.f64 (*.f64 1/2 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) 1/2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) 3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (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 (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)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
0.3b
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
14.6b
(/.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)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.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
@-inf
(*.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))

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1428×associate-/r*
1348×associate-*r/
1230×associate-/l*
1108×associate-*l/
264×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01256
125756
2341752
Stop Event
node limit
Counts
2 → 74
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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) 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simplify67.0ms (0.7%)

Algorithm
egg-herbie
Rules
1514×associate-/l*
1272×associate-*r/
1022×associate-*l/
742×associate-/r*
688×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503550
16323438
223873424
Stop Event
node limit
Counts
98 → 135
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 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (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 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) -8/3) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (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 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.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 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) (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 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (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 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (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 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) 1)
(/.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(/.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(/.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)
(/.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)
(/.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)
(pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(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 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -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 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))) 1)
(*.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 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (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)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (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 8/3 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)) 1)
(*.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 8/3 (sin.f64 x)))
(*.f64 1 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(*.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 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 2))
(*.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 8/3 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
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(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 2) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (cbrt.f64 2) 8/3)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 2) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 2) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) 8/3))
(*.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (+.f64 1/4 (*.f64 -1/4 (*.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) -1/4))) (/.f64 (+.f64 1 (cos.f64 x)) 16/3))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (/.f64 (+.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 8/3))
(/.f64 (+.f64 1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3))) (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4) 8/3))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4) 8/3))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(*.f64 -4/3 (+.f64 -1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(*.f64 -4/3 (+.f64 -1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(*.f64 -4/3 (+.f64 -1 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3) 1/3)
(*.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))
(log.f64 (exp.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) 3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))) 1))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.4b
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
14.6b
(/.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))

rewrite77.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1490×associate-/r*
1454×associate-/l*
1056×associate-*r/
916×associate-*l/
282×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01593
128973
2343673
Stop Event
node limit
Counts
3 → 88
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
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 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simplify80.0ms (0.8%)

Algorithm
egg-herbie
Rules
1306×associate-/r*
1200×distribute-rgt-in
1198×distribute-lft-in
760×associate-/l/
700×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02774416
16974258
228974248
Stop Event
node limit
Counts
124 → 158
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 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))) 1)
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.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)) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.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 (cbrt.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (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)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) (sin.f64 x)) (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.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))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)))) (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 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))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2)
(pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -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 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (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 x 1/2)) 2) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.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 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)) 1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 1 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (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 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) 2)
(*.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 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
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(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4))
(pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2))
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(fabs.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))

eval335.0ms (3.5%)

Compiler

Compiled 14600 to 10214 computations (30% saved)

prune298.0ms (3.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New75921780
Fresh000
Picked101
Done202
Total76221783
Error
0b
Counts
783 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
31.1b
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
15.0b
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
29.7b
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))
29.8b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
29.7b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
29.7b
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))
29.9b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
14.9b
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
14.9b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
15.2b
(/.f64 (*.f64 8/3 (/.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))) (sin.f64 x))
46.4b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
29.7b
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
15.0b
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
29.7b
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)
0.7b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
0.3b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
15.0b
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
29.7b
(*.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x))) 8/3)
31.8b
(*.f64 (*.f64 1/4 x) 8/3)
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
31.8b
(*.f64 x 2/3)
Compiler

Compiled 532 to 434 computations (18.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (/.f64 x 2))
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1740×add-sqr-sqrt
1706×*-un-lft-identity
1598×add-cube-cbrt
1584×add-cbrt-cube
176×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
118928
2215228
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(tan.f64 (/.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (/.f64 x 2)) 4/3) (cos.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (/.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 (cos.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (neg.f64 (cos.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (/.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))))))

simplify108.0ms (1.1%)

Algorithm
egg-herbie
Rules
1458×fma-def
1218×associate-+r+
1146×associate-+l+
672×*-commutative
596×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01181321
12521297
29201297
331441297
476861297
Stop Event
node limit
Counts
61 → 74
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 4/3) (cos.f64 (/.f64 x 2)))
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x 2)))) 1)
(*.f64 (tan.f64 (/.f64 x 2)) 1)
(*.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 (cos.f64 (/.f64 x 2))))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (neg.f64 (cos.f64 (/.f64 x 2))))
(pow.f64 (tan.f64 (/.f64 x 2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)
(pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))
(log.f64 (exp.f64 (tan.f64 (/.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (/.f64 x 2))))
(exp.f64 (log.f64 (tan.f64 (/.f64 x 2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x 2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 x (fma.f64 1/18 (*.f64 x x) 2/3) (*.f64 1/180 (pow.f64 x 5)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 1/18 (*.f64 x x) 2/3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(fma.f64 x (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 5) 1/240))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (pow.f64 x 7) 17/40320 (*.f64 (pow.f64 x 5) 1/240))))
(fma.f64 x (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))) 4/3)
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 4/3) (cos.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))) 4/3)
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (/.f64 x 2)))) 1)
(tan.f64 (/.f64 x 2))
(*.f64 (tan.f64 (/.f64 x 2)) 1)
(tan.f64 (/.f64 x 2))
(*.f64 1 (tan.f64 (/.f64 x 2)))
(tan.f64 (/.f64 x 2))
(*.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))
(tan.f64 (/.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))
(pow.f64 (tan.f64 (/.f64 x 2)) 1)
(tan.f64 (/.f64 x 2))
(pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 2)
(tan.f64 (/.f64 x 2))
(pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)
(tan.f64 (/.f64 x 2))
(pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3) 1/3)
(tan.f64 (/.f64 x 2))
(sqrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))
(tan.f64 (/.f64 x 2))
(log.f64 (exp.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (/.f64 x 2)))))
(tan.f64 (/.f64 x 2))
(cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 3))
(tan.f64 (/.f64 x 2))
(expm1.f64 (log1p.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(exp.f64 (log.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))
(exp.f64 (*.f64 (log.f64 (tan.f64 (/.f64 x 2))) 1))
(tan.f64 (/.f64 x 2))
(log1p.f64 (expm1.f64 (tan.f64 (/.f64 x 2))))
(tan.f64 (/.f64 x 2))

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x 2/3)
Compiler

Compiled 6 to 4 computations (33.3% saved)

series30.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
29.0ms
x
@-inf
(*.f64 x 2/3)
0.0ms
x
@inf
(*.f64 x 2/3)
0.0ms
x
@0
(*.f64 x 2/3)

rewrite97.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
924×associate-*l*
902×add-sqr-sqrt
884×*-un-lft-identity
842×pow1
826×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11007
211107
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x 2/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 2/3) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))))

simplify61.0ms (0.6%)

Algorithm
egg-herbie
Rules
862×log-prod
820×associate-+r-
788×+-commutative
696×fma-def
672×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034161
184161
2259161
31819161
44000161
56465161
Stop Event
node limit
Counts
23 → 12
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 (+.f64 (*.f64 x 2/3) 1) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(sqrt.f64 (*.f64 x (*.f64 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 (+.f64 (*.f64 x 2/3) 1) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.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)
(sqrt.f64 (*.f64 x (*.f64 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)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 x)
0.1b
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)
0.2b
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))
2.3b
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
Compiler

Compiled 39 to 24 computations (38.5% saved)

series43.0ms (0.4%)

Counts
4 → 40
Calls

12 calls:

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

rewrite147.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1576×associate-/r*
1344×associate-/l*
518×associate-/l/
488×distribute-rgt-in
452×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01382
128882
2371282
Stop Event
node limit
Counts
4 → 226
Calls
Call 1
Inputs
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)
(cos.f64 x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))))

simplify137.0ms (1.4%)

Algorithm
egg-herbie
Rules
946×associate-/l*
936×associate-*r*
864×associate-*l*
658×associate-/l/
586×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063110838
1176210498
Stop Event
node limit
Counts
266 → 375
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 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))
(*.f64 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)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(+.f64 1/2 (*.f64 (*.f64 (cos.f64 x) -1/2) 1))
(+.f64 1/2 (*.f64 1 (*.f64 (*.f64 (cos.f64 x) -1/2) 1)))
(+.f64 1/2 (*.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 1) 1))
(+.f64 (*.f64 (cos.f64 x) -1/2) 1/2)
(+.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 1) 1/2)
(+.f64 (-.f64 1/2 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) 2)))) 1)
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) 1)
(*.f64 1 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))
(*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2) (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 1 (-.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
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(+.f64 (*.f64 (/.f64 1/2 (sin.f64 x)) 8/3) (*.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 1/2))) 8/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3))) 1)
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 1)
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) 8/3) (/.f64 1 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 8/3)))
(/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sin.f64 x))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (/.f64 (/.f64 (sin.f64 x) 8/3) (/.f64 1 (-.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) (*.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 (/.f64 (sin.f64 x) 8/3) (/.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (+.f64 (*.f64 1/4 (cos.f64 x)) 1/4)))))
(/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (*.f64 (/.f64 (sin.f64 x) 8/3) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (+.f64 (*.f64 1/4 (cos.f64 x)) 1/4))))
(/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (neg.f64 (sin.f64 x)) 8/3))
(/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)))))
(/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)) 8/3) (*.f64 (sin.f64 x) (-.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 (*.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) 8/3) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (+.f64 (*.f64 1/4 (cos.f64 x)) 1/4))))
(/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (*.f64 (/.f64 (sin.f64 x) 8/3) (neg.f64 (-.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))
(/.f64 (neg.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (*.f64 (/.f64 (sin.f64 x) 8/3) (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (+.f64 (*.f64 1/4 (cos.f64 x)) 1/4)))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (cos.f64 x) -1/2))) (*.f64 (/.f64 (sin.f64 x) 8/3) (-.f64 1/2 (*.f64 (cos.f64 x) -1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 (cos.f64 x) -1/2) 3)) (*.f64 (/.f64 (sin.f64 x) 8/3) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) (*.f64 (cos.f64 x) -1/2)) (*.f64 1/2 (*.f64 (cos.f64 x) -1/2))))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 x) 2))))) (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))) (cbrt.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))) (cbrt.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4)))) (-.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4) (+.f64 (*.f64 1/4 (cos.f64 x)) 1/4)))
(/.f64 (/.f64 8/3 (/.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) 1)) (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1/2 (/.f64 (cos.f64 x) 2))))
(/.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2))) 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (/.f64 (cos.f64 x) 2))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(*.f64 (cos.f64 x) 1)
(*.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) 1)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(log1p.f64 (expm1.f64 (cos.f64 x)))
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)))
(+.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))))
(+.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)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 1/4 x)
(+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 1/4 x))
(fma.f64 1/48 (pow.f64 x 3) (*.f64 1/4 x))
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(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 -1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 -8/3 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 -8/3 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 -8/3 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 8/3 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (+.f64 -1/2 (/.f64 (cos.f64 x) 2)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (neg.f64 (sin.f64 x)))) (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -4/3 (*.f64 (/.f64 (cos.f64 x) 2) 8/3)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))))
(/.f64 (/.f64 (/.f64 8/3 (/.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (+.f64 -1/2 (/.f64 (cos.f64 x) 2)))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) -1) (sin.f64 x))
(/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (+.f64 -1/2 (/.f64 (cos.f64 x) 2))))
(*.f64 -8/3 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) 8/3)) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 -8/3 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) 8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 -8/3 (/.f64 (+.f64 -1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (*.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 8/3) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 8/3) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 8/3 (sqrt.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 8/3) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))))
(*.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 8/3 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 8/3) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (/.f64 8/3 (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 8/3) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 8/3)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (*.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))))
(/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) -1) (sin.f64 x))
(/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (neg.f64 (sin.f64 x)))
(/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (+.f64 -4/3 (neg.f64 (*.f64 (cos.f64 x) -4/3))) (*.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x)))))
(pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 1)
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)) 2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))) 2)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)) 3)
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 3) 1/3)
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3)) 2))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) (log.f64 (exp.f64 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3))))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3) 3))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)) 1))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)))
(/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) 8/3))
(*.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (/.f64 8/3 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)
(cos.f64 x)
(*.f64 (cos.f64 x) 1)
(cos.f64 x)
(*.f64 1 (cos.f64 x))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) 1)
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) 3)
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) 2))
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) 3))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
0.3b
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
14.6b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1190×associate-/r*
986×associate-/l*
938×associate-*r/
782×associate-*l/
764×swap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01373
126973
2321273
Stop Event
node limit
Counts
3 → 100
Calls
Call 1
Inputs
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))))) (#(struct:change 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(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))

simplify76.0ms (0.8%)

Algorithm
egg-herbie
Rules
1484×associate-/r*
922×associate-/l/
836×distribute-lft-in
830×distribute-rgt-in
826×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02964402
16904278
227044278
Stop Event
node limit
Counts
136 → 161
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 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (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 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))) 3)
(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 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(neg.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x))))
(neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(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 (*.f64 8/3 (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))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(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 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -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))))
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(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 1)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (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 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 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3) 1/3)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(*.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 8/3 (sin.f64 x)))
(neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.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 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (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 8/3 (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(*.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 8/3 (sin.f64 x)))
(neg.f64 (*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (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 8/3 (sin.f64 x)))
(neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.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 8/3 (sin.f64 x)))
(sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 (pow.f64 (sin.f64 x) 2) 64/9)))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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)))))
(*.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 8/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (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))
(*.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 8/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(neg.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3))
(*.f64 8/3 (pow.f64 (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) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 1 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 1 (/.f64 1 (pow.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))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x)))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(fma.f64 (cos.f64 x) -1/2 1/2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
0.4b
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
14.6b
(/.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)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
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
(/.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)

rewrite90.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
998×associate-/r*
892×associate-/l*
832×unswap-sqr
778×swap-sqr
610×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01485
128877
2340977
Stop Event
node limit
Counts
3 → 122
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
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 8/3) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (*.f64 (sqrt.f64 8/3) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))))))

simplify101.0ms (1%)

Algorithm
egg-herbie
Rules
1554×associate-/r*
1332×associate-*r/
1130×associate-*l/
948×associate-*r*
848×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03907074
110595716
243215716
Stop Event
node limit
Counts
158 → 215
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 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) 1)
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))
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(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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 (sqrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 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))) 3) 1/3)
(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))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 8/3) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (*.f64 (sqrt.f64 8/3) 8/3)))
(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))
(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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.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 1/540 (pow.f64 x 6) (*.f64 (*.f64 x 2/3) x)))
(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 (*.f64 -1/48 (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 (*.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)))))
(fma.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 1/2 (*.f64 (sqrt.f64 8/3) x) (*.f64 (*.f64 -1/48 (sqrt.f64 8/3)) (pow.f64 x 3))))
(fma.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (*.f64 (sqrt.f64 8/3) (*.f64 x 1/2))))
(+.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))))))
(fma.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 1/2 (*.f64 (sqrt.f64 8/3) x) (fma.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (*.f64 -1/645120 (*.f64 (sqrt.f64 8/3) (pow.f64 x 7))))))
(fma.f64 1/3840 (*.f64 (sqrt.f64 8/3) (pow.f64 x 5)) (fma.f64 1/2 (*.f64 (sqrt.f64 8/3) x) (fma.f64 -1/48 (*.f64 (sqrt.f64 8/3) (pow.f64 x 3)) (*.f64 (sqrt.f64 8/3) (*.f64 (pow.f64 x 7) -1/645120)))))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))) 1)
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) 1)
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 1 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 8/3)) (sin.f64 (*.f64 x 1/2)))
(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 (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 8/3))
(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 (*.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))) 2))) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 4))
(*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sqrt.f64 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sqrt.f64 8/3))))
(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 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 -8/3 (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3))) (sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sqrt.f64 8/3)))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(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 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sin.f64 (*.f64 x 1/2)))
(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 (*.f64 (*.f64 (sqrt.f64 8/3) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (*.f64 (sqrt.f64 8/3) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (*.f64 (pow.f64 (sqrt.f64 8/3) 2) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 8/3 (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 8/3) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 8/3 1/4)) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 8/3 1/4))) (sqrt.f64 8/3))
(*.f64 (sqrt.f64 8/3) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 8/3 1/4) (pow.f64 8/3 1/4))))
(*.f64 (sqrt.f64 8/3) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (pow.f64 8/3 1/2)))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 8/3)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 8/3))) (cbrt.f64 8/3))
(*.f64 (cbrt.f64 8/3) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (cbrt.f64 8/3) (cbrt.f64 8/3))))
(*.f64 (cbrt.f64 8/3) (*.f64 (cbrt.f64 8/3) (*.f64 (cbrt.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 (cbrt.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 8/3) (cbrt.f64 8/3)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))))))
(*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2))))))
(*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 4))
(fabs.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(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))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) 3))
(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))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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))
(exp.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)) 1))
(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))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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 (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 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3)))
(sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(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)))
(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))) 3) 1/3)
(*.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 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3)))
(sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(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)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 8/3) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (*.f64 (sqrt.f64 8/3) 8/3)))
(*.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)))
(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)))

eval342.0ms (3.5%)

Compiler

Compiled 16482 to 11838 computations (28.2% saved)

prune168.0ms (1.7%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New81918837
Fresh11516
Picked101
Done224
Total83325858
Error
0b
Counts
858 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
46.9b
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
1.5b
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
32.4b
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
46.4b
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (*.f64 x 1/2)) 2) (sin.f64 x))
29.7b
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))
29.8b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
29.7b
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
46.4b
(/.f64 (*.f64 (*.f64 x x) 2/3) (sin.f64 x))
14.9b
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
0.4b
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 4/3) (cos.f64 (/.f64 x 2)))
0.4b
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
29.7b
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))))
60.0b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
39.3b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
1.4b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)
0.3b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
15.0b
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
29.8b
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
0.4b
(*.f64 (*.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 (cos.f64 (/.f64 x 2)))) 4/3)
31.8b
(*.f64 (*.f64 1/4 x) 8/3)
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
31.8b
(*.f64 x 2/3)
53.5b
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
1.2b
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
51.8b
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
Compiler

Compiled 495 to 413 computations (16.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
0.2b
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
0.2b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
Compiler

Compiled 40 to 28 computations (30% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite132.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1266×associate-/r*
1126×associate-/l*
948×unswap-sqr
808×swap-sqr
256×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01281
125671
2324071
Stop Event
node limit
Counts
3 → 260
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))))

simplify116.0ms (1.2%)

Algorithm
egg-herbie
Rules
1338×associate-/l*
934×associate-/l/
832×associate-/r*
774×times-frac
756×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067410486
1175710224
Stop Event
node limit
Counts
296 → 343
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)))
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 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 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)
(/.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 (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 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3)))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/8 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) (neg.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (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) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
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(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8)) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/8)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/8)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/8)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/8)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/8)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x)))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) -3/8)))
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) -3/8))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3) (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.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 (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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.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 (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 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.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 (/.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) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (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) (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (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))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)
(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)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) 1))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -1 (sin.f64 x))))
(neg.f64 (*.f64 1 (/.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))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1)
(*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(*.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 (neg.f64 (sin.f64 (*.f64 x 1/2))) -8/3)
(*.f64 -8/3 (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3) 1/3)
(pow.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 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))))
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1/2
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(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))
(*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 2)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3) 1/3)
(*.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)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -3/8)
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -3/8)
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -3/8)
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -3/8)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))
(log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 1/4 x) 8/3)
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1268×add-sqr-sqrt
1244×*-un-lft-identity
1170×add-cube-cbrt
1160×add-cbrt-cube
1146×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11447
215777
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (*.f64 1/4 x) 8/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 1/4 x) 8/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 1/4 x) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 1/4 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 1/4 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 1/4 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/4 x) 8/3)))))))

simplify54.0ms (0.6%)

Algorithm
egg-herbie
Rules
962×exp-sum
862×*-commutative
802×associate-*r*
782×log-prod
686×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034161
182161
2317161
32149161
45901161
Stop Event
node limit
Counts
23 → 12
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 (+.f64 1 (*.f64 (*.f64 1/4 x) 8/3)) 1)
(pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 1/4 x) 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 2))
(log.f64 (exp.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(exp.f64 (log.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 1/4 x) 8/3)))
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 (+.f64 1 (*.f64 (*.f64 1/4 x) 8/3)) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 1/4 x) 8/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 1/4 x) 8/3)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 3) 1/3)
(*.f64 2/3 x)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 2))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 (*.f64 1/4 x) 8/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 (*.f64 1/4 x) 8/3)))
(*.f64 2/3 x)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x 2/3)
0.6b
(cbrt.f64 (*.f64 x 2/3))
0.7b
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0.1%)

Counts
2 → 0
Calls

6 calls:

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

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1428×add-sqr-sqrt
1392×*-un-lft-identity
1320×add-cube-cbrt
1308×add-cbrt-cube
1292×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
118618
2186218
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(cbrt.f64 (*.f64 x 2/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 2/3) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 x)) (cbrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) 3) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 2/3) 1/6) (pow.f64 (*.f64 x 2/3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 2/3))))))))

simplify69.0ms (0.7%)

Algorithm
egg-herbie
Rules
1036×distribute-rgt-out
646×sqr-pow
624×cube-prod
618×associate-/l*
588×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111116
1246840
2929564
32279564
44513564
Stop Event
node limit
Counts
52 → 61
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) 1)
(*.f64 x 2/3)
(*.f64 x (pow.f64 (cbrt.f64 2/3) 3))
(*.f64 2/3 x)
(*.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)) 3) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 2/3) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 2/3))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2/3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 x)) (cbrt.f64 2/3))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) 3) (cbrt.f64 (*.f64 x 2/3)))
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x 2/3))) 1)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) 1)
(*.f64 1 (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (pow.f64 (*.f64 x 2/3) 1/6) (pow.f64 (*.f64 x 2/3) 1/6))
(*.f64 (cbrt.f64 2/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (cbrt.f64 x) (cbrt.f64 2/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 1)
(pow.f64 (*.f64 x 2/3) 1/3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 2/3))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 2/3))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 2/3))))
Outputs
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) 1)
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 x 2/3)
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x (pow.f64 (cbrt.f64 2/3) 3))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 2/3 x)
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1)
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 2/3) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (cbrt.f64 2/3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 2/3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) 2/3)
(*.f64 2/3 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 x) (*.f64 2/3 (cbrt.f64 (*.f64 x x))))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (*.f64 2/3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)) 2/3)
(*.f64 2/3 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 x) (*.f64 2/3 (cbrt.f64 (*.f64 x x))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1) (cbrt.f64 (*.f64 x 2/3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6)) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 x)) (cbrt.f64 2/3))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 2/3) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (cbrt.f64 2/3) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) 3) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 1/6) 3))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) 3) (cbrt.f64 (*.f64 x 2/3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3) 3))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)) 1))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)))
(+.f64 1 (-.f64 (*.f64 x 2/3) 1))
(+.f64 (*.f64 x 2/3) 0)
(*.f64 x 2/3)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 x 2/3))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 1 (cbrt.f64 (*.f64 x 2/3)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (pow.f64 (*.f64 x 2/3) 1/6) (pow.f64 (*.f64 x 2/3) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (cbrt.f64 2/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (cbrt.f64 x) (cbrt.f64 2/3))
(*.f64 (cbrt.f64 2/3) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 2/3)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 2/3)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(pow.f64 (*.f64 x 2/3) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(pow.f64 (pow.f64 (*.f64 x 2/3) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 2/3))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))) 1))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 2/3))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(+.f64 (cbrt.f64 (*.f64 x 2/3)) 0)
(cbrt.f64 (*.f64 x 2/3))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
0.4b
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1432×associate-*r/
1236×associate-/r*
1044×*-commutative
998×associate-*l/
794×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01160
124034
2300434
Stop Event
node limit
Counts
2 → 97
Calls
Call 1
Inputs
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
Outputs
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2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))))))

simplify96.0ms (1%)

Algorithm
egg-herbie
Rules
1602×associate-+r-
930×associate-/r/
738×*-commutative
602×+-commutative
592×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02513655
16343639
221353549
370113549
Stop Event
node limit
Counts
121 → 135
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 2 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5)))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 1)
(*.f64 1 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(*.f64 (sqrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) (sqrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 4/3 (cos.f64 (/.f64 x 2)))))
(*.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 2) (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2) (/.f64 4/3 (cos.f64 (/.f64 x 2)))))
(*.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (/.f64 (sin.f64 (/.f64 x 2)) 1))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (/.f64 -4/3 (cos.f64 (/.f64 x 2))))
(*.f64 -4/3 (*.f64 -1 (tan.f64 (/.f64 x 2))))
(*.f64 -4/3 (neg.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 4/3 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2) (/.f64 4/3 (cos.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (/.f64 x 2)))) (/.f64 (sin.f64 (/.f64 x 2)) (sqrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2)) (/.f64 (sin.f64 (/.f64 x 2)) (cbrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (sin.f64 (/.f64 x 2))))
(*.f64 (*.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 4/3 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 -4/3 (cos.f64 (/.f64 x 2))) (neg.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 -1 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (*.f64 -1 (tan.f64 (/.f64 x 2))) -4/3)
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) 1) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (cos.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) 1)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (neg.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) -1) (neg.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 -4/3 (neg.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (neg.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (sqrt.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (cbrt.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 2)
(pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 3) 1/3)
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(sqrt.f64 (pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(exp.f64 (log.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 1)
(*.f64 (cos.f64 (/.f64 x 2)) (/.f64 1 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 1)
(*.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(*.f64 (neg.f64 (cos.f64 (/.f64 x 2))) (/.f64 -1 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) 1))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (/.f64 (cos.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) 1) (/.f64 1 (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 -1 (sin.f64 (/.f64 x 2))) (neg.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) 1) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (sin.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 3) 1/3)
(pow.f64 (tan.f64 (/.f64 x 2)) -1)
(neg.f64 (/.f64 (cos.f64 (/.f64 x 2)) (neg.f64 (sin.f64 (/.f64 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 2 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1/6 x (/.f64 2 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/360 (pow.f64 x 3) (fma.f64 -1/6 x (/.f64 2 x)))
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (/.f64 2 x)))
(fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) -1/360 (/.f64 2 x)))
(+.f64 (*.f64 -1/360 (pow.f64 x 3)) (+.f64 (*.f64 -1/6 x) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/15120 (pow.f64 x 5)))))
(fma.f64 -1/360 (pow.f64 x 3) (+.f64 (fma.f64 -1/6 x (/.f64 2 x)) (*.f64 (pow.f64 x 5) -1/15120)))
(fma.f64 (pow.f64 x 3) -1/360 (fma.f64 x -1/6 (fma.f64 (pow.f64 x 5) -1/15120 (/.f64 2 x))))
(fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) -1/360 (fma.f64 (pow.f64 x 5) -1/15120 (/.f64 2 x))))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))) 1)
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 1)
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 1 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (sqrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) (sqrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 4/3 (cos.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 2))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 2) (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2) (/.f64 4/3 (cos.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2)))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (/.f64 (sin.f64 (/.f64 x 2)) 1))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (/.f64 -4/3 (cos.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 -4/3 (*.f64 -1 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 -4/3 (neg.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 4/3 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2) (/.f64 4/3 (cos.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (/.f64 x 2)))) (/.f64 (sin.f64 (/.f64 x 2)) (sqrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2)) (/.f64 (sin.f64 (/.f64 x 2)) (cbrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (*.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 4/3 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 -4/3 (cos.f64 (/.f64 x 2))) (neg.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 -1 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (*.f64 -1 (tan.f64 (/.f64 x 2))) -4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 1) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) 1) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (cos.f64 (/.f64 x 2)))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 4/3 (*.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))))
(*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 (/.f64 4/3 (cbrt.f64 (cos.f64 (/.f64 x 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)))
(/.f64 4/3 (*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) 1)) (sin.f64 (/.f64 x 2)))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 4/3 (neg.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (neg.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x 2))))) (sqrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2))) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 4/3 (cos.f64 (/.f64 x 2))) -1) (neg.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 -4/3 (neg.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (neg.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (sqrt.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) (sqrt.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) 4/3) (sqrt.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 x 2))))) (cbrt.f64 (neg.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (*.f64 (/.f64 4/3 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (neg.f64 (sin.f64 (/.f64 x 2))))) (cbrt.f64 (neg.f64 (cos.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 1)
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(pow.f64 (sqrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 2)
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 3)
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(pow.f64 (pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 3) 1/3)
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 2))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))) 3))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(expm1.f64 (log1p.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(exp.f64 (log.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 4/3 (cos.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))) 1)
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (cos.f64 (/.f64 x 2)) (/.f64 1 (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 1)
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2) (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (neg.f64 (cos.f64 (/.f64 x 2))) (/.f64 -1 (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) 1))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) 1))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (/.f64 (cos.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) 1) (/.f64 1 (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 1 (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cos.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 -1 (/.f64 -1 (tan.f64 (/.f64 x 2))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 -1 (sin.f64 (/.f64 x 2))) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) 1) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2)) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 2) (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2) (sin.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 2))) (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 1)
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 3) 1/3)
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(pow.f64 (tan.f64 (/.f64 x 2)) -1)
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (cos.f64 (/.f64 x 2)) (neg.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 2))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(log.f64 (exp.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))) 3))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 1 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))))
(/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2)))

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (/.f64 x 2))
0.3b
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)
0.6b
(cbrt.f64 (tan.f64 (/.f64 x 2)))
0.7b
(pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)
Compiler

Compiled 33 to 27 computations (18.2% saved)

series6.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
826×*-commutative
698×frac-times
610×unswap-sqr
524×swap-sqr
450×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
125543
2267843
Stop Event
node limit
Counts
3 → 128
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)
Outputs
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simplify85.0ms (0.9%)

Algorithm
egg-herbie
Rules
1376×associate-/l*
1170×distribute-rgt-in
1164×distribute-lft-in
1164×associate-/r*
568×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03266026
18185012
227735012
Stop Event
node limit
Counts
156 → 191
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1/3)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) 1)
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)))
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) 3))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 (cos.f64 (/.f64 x 2))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))))
(*.f64 (/.f64 1 (cos.f64 (/.f64 x 2))) (sin.f64 (/.f64 x 2)))
(*.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (/.f64 1 (neg.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) 3) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (/.f64 x 2)))) (/.f64 (sin.f64 (/.f64 x 2)) (sqrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))) (/.f64 (sin.f64 (/.f64 x 2)) (cbrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6)) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6)) (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))))
(*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4)) (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3/4) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 1/6) 3/2)))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6))) (*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)) 3/4) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)) 3/4))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 3) 1/6))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) 1) (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))) (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) 1) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))))
(/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(/.f64 1 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) 1))
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (/.f64 x 2))) (neg.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2)))
(/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 (cos.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (/.f64 (cos.f64 (/.f64 x 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (neg.f64 (sin.f64 (/.f64 x 2))) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) 3) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x 2))) 1) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (sin.f64 (/.f64 x 2)) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (/.f64 (sin.f64 (/.f64 x 2)) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (sin.f64 (/.f64 x 2)) (*.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) 1))))
(neg.f64 (/.f64 (sin.f64 (/.f64 x 2)) (neg.f64 (cos.f64 (/.f64 x 2)))))
(sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(tan.f64 (/.f64 x 2))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 1)
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 1)
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6) (pow.f64 (tan.f64 (/.f64 x 2)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 1 (cbrt.f64 (cos.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)) 1/6)) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6) (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6) (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))))) (*.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) (*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6))))
(/.f64 1 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))))
(/.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 1 (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) 1) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 1))))
(pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 1)
(pow.f64 (tan.f64 (/.f64 x 2)) 1/3)
(pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6) 2)
(pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 2/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 1)
(/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (*.f64 4/3 (sin.f64 (/.f64 x 2)))))
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (cos.f64 (/.f64 x 2)) 4/3))
(/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (/.f64 x 2)))) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 1 (*.f64 4/3 (sin.f64 (/.f64 x 2)))) (cos.f64 (/.f64 x 2)))
(/.f64 (*.f64 (*.f64 4/3 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (*.f64 4/3 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 4/3 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x 2))) 4/3) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 4/3 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) 1) (cos.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (*.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 1))))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3) 3) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 1)
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (pow.f64 1 1/3))
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(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) (cbrt.f64 (tan.f64 (/.f64 x 2)))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))) (+.f64 1 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))) (exp.f64 (*.f64 2 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))))))
(pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 1)
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(pow.f64 (tan.f64 (/.f64 x 2)) 1/3)
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 1/6) 2)
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 2/3)
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6) (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6) (pow.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 1/6)))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (cbrt.f64 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))) 3)
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))))))
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(cbrt.f64 (tan.f64 (/.f64 x 2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (cos.f64 (/.f64 x 2)) (*.f64 4/3 (sin.f64 (/.f64 x 2)))))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (sin.f64 (/.f64 x 2)) (/.f64 (cos.f64 (/.f64 x 2)) 4/3))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (/.f64 x 2)))) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 1 (*.f64 4/3 (sin.f64 (/.f64 x 2)))) (cos.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (*.f64 4/3 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3))) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (tan.f64 (/.f64 x 2)))) 4/3)
(/.f64 (*.f64 (*.f64 4/3 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)) (/.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) 4/3))
(*.f64 (/.f64 (*.f64 4/3 (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 4/3 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)) (/.f64 (/.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (sin.f64 (/.f64 x 2)))) 4/3))
(*.f64 (/.f64 (*.f64 4/3 (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2)))) (cbrt.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (/.f64 x 2))) 4/3) (neg.f64 (cos.f64 (/.f64 x 2))))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) 1) (cos.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (*.f64 4/3 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (/.f64 (sqrt.f64 (cos.f64 (/.f64 x 2))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (*.f64 4/3 (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (tan.f64 (/.f64 x 2)))) 4/3)
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) 1) (cos.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (sqrt.f64 (cos.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (/.f64 x 2))) (*.f64 (cbrt.f64 (cos.f64 (/.f64 x 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(*.f64 4/3 (/.f64 (sin.f64 (/.f64 x 2)) (cos.f64 (/.f64 x 2))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))) (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))))))))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (/.f64 x 2)) 2) 16/9))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (pow.f64 (exp.f64 4/3) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

eval315.0ms (3.2%)

Compiler

Compiled 14652 to 11726 computations (20% saved)

prune141.0ms (1.4%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New7877794
Fresh15318
Picked101
Done246
Total80514819
Error
0b
Counts
819 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
29.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
29.7b
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
0.4b
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
31.8b
(/.f64 4/3 (/.f64 2 x))
0.4b
(/.f64 4/3 (/.f64 1 (tan.f64 (/.f64 x 2))))
31.6b
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
0.5b
(/.f64 4/3 (*.f64 (/.f64 1 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))))
60.0b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
28.6b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1/2)
31.8b
(*.f64 (*.f64 1/4 x) 8/3)
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
31.8b
(*.f64 x 2/3)
53.5b
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
Compiler

Compiled 217 to 182 computations (16.1% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (/.f64 x 2))
0.1b
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
0.2b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
878×*-commutative
870×associate-*r/
626×associate-*l/
578×unswap-sqr
570×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
124034
2275234
Stop Event
node limit
Counts
2 → 156
Calls
Call 1
Inputs
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
Outputs
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simplify91.0ms (0.9%)

Algorithm
egg-herbie
Rules
1756×associate-/r*
1722×associate-/l*
802×associate-/r/
630×associate-/l/
420×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03966616
18965974
227905974
Stop Event
node limit
Counts
180 → 263
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 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5)))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))) 1)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 -1 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) 1)
(*.f64 1 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2) (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
(*.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) -1))
(*.f64 -4/3 (neg.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) -1) 4/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 1) (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 3/4 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sin.f64 (/.f64 x 2))) (*.f64 3/4 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 -1 (tan.f64 (/.f64 x 2))) -3/4)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (/.f64 x 2)))) (neg.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (/.f64 x 2)))) (cos.f64 (/.f64 x 2)))
(*.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (sin.f64 (/.f64 x 2)))) (sqrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3) 1/6))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 1)
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) -1)
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 3)
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 2))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(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 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 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(fma.f64 -1/8 x (/.f64 3/2 x))
(fma.f64 x -1/8 (/.f64 3/2 x))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(fma.f64 -1/8 x (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (/.f64 3/2 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5)))))
(fma.f64 -1/8 x (+.f64 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)) (*.f64 (pow.f64 x 5) -1/20160)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (fma.f64 (pow.f64 x 5) -1/20160 (/.f64 3/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 -1 (*.f64 (tan.f64 (/.f64 x 2)) -4/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 1 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2) (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 -4/3 (neg.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) -1) 4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 1) (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (sqrt.f64 3/4) (sqrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))))
(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (sqrt.f64 -3/4) (sqrt.f64 (neg.f64 (tan.f64 (/.f64 x 2))))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (/.f64 x 2))) 3/4) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) 3/4) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 4/3 (/.f64 1 (sqrt.f64 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2) 1) (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2) (cbrt.f64 3/4)) (cbrt.f64 (tan.f64 (/.f64 x 2))))
(*.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 3/4)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (/.f64 (cbrt.f64 3/4) (cbrt.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (/.f64 x 2)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2) (/.f64 (cbrt.f64 -3/4) (cbrt.f64 (neg.f64 (tan.f64 (/.f64 x 2))))))
(*.f64 (*.f64 (pow.f64 3/4 -1/2) (pow.f64 3/4 -1/2)) (pow.f64 (/.f64 1 (tan.f64 (/.f64 x 2))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))))
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/2))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2) (sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2) (sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1))) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4)))
(*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/2))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1/4) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) -1/2))))
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(*.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (sin.f64 (/.f64 x 2)))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 3/4 (*.f64 (cbrt.f64 (sin.f64 (/.f64 x 2))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(*.f64 (/.f64 3/4 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2) (cbrt.f64 (sin.f64 (/.f64 x 2))))) (cbrt.f64 (cos.f64 (/.f64 x 2))))
(/.f64 (/.f64 (*.f64 3/4 (cbrt.f64 (cos.f64 (/.f64 x 2)))) (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 2)) (cbrt.f64 (sin.f64 (/.f64 x 2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) -1/2))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 3/2))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3) 1/6))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 1)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) -1)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 2)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))) 3)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3) 1/3)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 2))
(fabs.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) 3))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2)))))
(/.f64 3/4 (tan.f64 (/.f64 x 2)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(/.f64 4/3 (/.f64 2 x))
Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1500×add-sqr-sqrt
1454×*-un-lft-identity
1384×add-cube-cbrt
1374×add-cbrt-cube
1360×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11587
218967
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 4/3 (/.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4/3 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (/.f64 2 x))) (sqrt.f64 (/.f64 4/3 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 4/3 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 4/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4/3 (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (/.f64 2 x))))))))

simplify38.0ms (0.4%)

Algorithm
egg-herbie
Rules
1532×associate-+r+
1310×associate-+l+
1042×distribute-lft-in
996×distribute-rgt-in
474×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068296
1147296
2575290
31937290
Stop Event
node limit
Counts
38 → 29
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 (+.f64 1 (/.f64 4/3 (/.f64 2 x))) 1)
(*.f64 4/3 (*.f64 x 1/2))
(*.f64 x 2/3)
(*.f64 (/.f64 4/3 (/.f64 2 x)) 1)
(*.f64 1 (/.f64 4/3 (/.f64 2 x)))
(*.f64 (sqrt.f64 (/.f64 4/3 (/.f64 2 x))) (sqrt.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 2/3 x)
(*.f64 (*.f64 x 1/2) 4/3)
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2/3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 -2/3 (neg.f64 x))
(pow.f64 (/.f64 4/3 (/.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (/.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (/.f64 2 x)) 3) 1/3)
(pow.f64 (/.f64 2 (*.f64 4/3 x)) -1)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (/.f64 4/3 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (/.f64 2 x))))
(exp.f64 (log.f64 (/.f64 4/3 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (/.f64 2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 4/3 (/.f64 2 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 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(-.f64 (+.f64 1 (/.f64 4/3 (/.f64 2 x))) 1)
(*.f64 2/3 x)
(*.f64 4/3 (*.f64 x 1/2))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 (/.f64 4/3 (/.f64 2 x)) 1)
(*.f64 2/3 x)
(*.f64 1 (/.f64 4/3 (/.f64 2 x)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (/.f64 4/3 (/.f64 2 x))) (sqrt.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 2))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 2) (cbrt.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 (*.f64 x 1/2) 4/3)
(*.f64 2/3 x)
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
(*.f64 2/3 x)
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 x)
(*.f64 (*.f64 2/3 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 2/3 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 -2/3 (neg.f64 x))
(*.f64 2/3 x)
(pow.f64 (/.f64 4/3 (/.f64 2 x)) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (/.f64 4/3 (/.f64 2 x))) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (/.f64 4/3 (/.f64 2 x))) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (/.f64 4/3 (/.f64 2 x)) 3) 1/3)
(*.f64 2/3 x)
(pow.f64 (/.f64 2 (*.f64 4/3 x)) -1)
(*.f64 2/3 x)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(fabs.f64 (*.f64 2/3 x))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (/.f64 4/3 (/.f64 2 x)) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 2/3 x)
(exp.f64 (log.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 2/3 x)
(exp.f64 (*.f64 (log.f64 (/.f64 4/3 (/.f64 2 x))) 1))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (/.f64 4/3 (/.f64 2 x))))
(*.f64 2/3 x)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
0.3b
(*.f64 -1/6 x)
0.4b
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts
3 → 21
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@inf
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
0.0ms
x
@-inf
(*.f64 -1/6 x)
0.0ms
x
@inf
(*.f64 -1/6 x)
0.0ms
x
@0
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))

rewrite94.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1378×associate-*r/
1042×*-commutative
860×associate-*l/
682×associate-/r*
520×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01243
126343
2320743
Stop Event
node limit
Counts
3 → 171
Calls
Call 1
Inputs
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(*.f64 -1/6 x)
(+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
Outputs
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simplify124.0ms (1.3%)

Algorithm
egg-herbie
Rules
784×+-commutative
692×associate-+r+
518×associate-*r*
508×associate-+l+
472×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04629942
113069478
256559462
Stop Event
node limit
Counts
192 → 277
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 1/216 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 1/216 (pow.f64 x 5)) (*.f64 1/2592 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 13824 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 13824 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))))
(/.f64 2 x)
(*.f64 -1/6 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(*.f64 -1/6 x)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (*.f64 2 (/.f64 1 x))) 1 (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 -2 (/.f64 1 x) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (/.f64 1 x)))) (cbrt.f64 (/.f64 (/.f64 4 x) x)) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (fma.f64 (neg.f64 (/.f64 1 x)) 2 (*.f64 2 (/.f64 1 x))) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (fma.f64 (neg.f64 (*.f64 2 (/.f64 1 x))) 1 (*.f64 2 (/.f64 1 x))) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (fma.f64 -2 (/.f64 1 x) (*.f64 2 (/.f64 1 x))) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 x))) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (/.f64 1 x)))) (cbrt.f64 (/.f64 (/.f64 4 x) x)) (*.f64 2 (/.f64 1 x))) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/6 x)) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (neg.f64 (*.f64 2 (/.f64 1 x)))))
(+.f64 (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/6 x)) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (/.f64 -2 x)))
(+.f64 (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/6 x)) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 2 (neg.f64 (/.f64 1 x)))))
(+.f64 (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/6 x)) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x))) (neg.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x)))))))
(+.f64 (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 -1/6 x)) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (*.f64 (cbrt.f64 (*.f64 2 (/.f64 1 x))) (neg.f64 (cbrt.f64 (/.f64 (/.f64 4 x) x))))))
(+.f64 (*.f64 (/.f64 4/3 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (*.f64 -1/6 x) 2)) (*.f64 (/.f64 4/3 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/3 x)))))
(+.f64 (*.f64 (/.f64 4/3 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 4 x) x) (*.f64 x (/.f64 -1/3 x)))) (*.f64 (/.f64 4/3 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (*.f64 -1/6 x) 2)))
(+.f64 (*.f64 (*.f64 -1/6 x) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (neg.f64 (*.f64 2 (/.f64 1 x))) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(+.f64 (*.f64 (*.f64 -1/6 x) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))) (*.f64 (/.f64 -2 x) (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
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(/.f64 (-.f64 (/.f64 (/.f64 4 x) x) (pow.f64 (*.f64 -1/6 x) 2)) (*.f64 1 (-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (pow.f64 (*.f64 -1/6 x) 2)) (*.f64 (/.f64 (/.f64 4 x) x) (/.f64 (/.f64 4 x) x))) (*.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)) (+.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/216) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (*.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/216) (*.f64 (pow.f64 x 3) -1/216)) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1/6 x) 2) 3) (pow.f64 (/.f64 (/.f64 4 x) x) 3)) (*.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)) (+.f64 (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (pow.f64 (*.f64 -1/6 x) 2)) (+.f64 (*.f64 (/.f64 (/.f64 4 x) x) (/.f64 (/.f64 4 x) x)) (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))) (neg.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))) (neg.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 1 (-.f64 (/.f64 (/.f64 4 x) x) (pow.f64 (*.f64 -1/6 x) 2))) (-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))) (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) 1) (neg.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 4 x) x) (pow.f64 (*.f64 -1/6 x) 2)) 1) (-.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 2)) (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (pow.f64 (*.f64 -1/6 x) 2)) (*.f64 (/.f64 (/.f64 4 x) x) (/.f64 (/.f64 4 x) x))) (/.f64 1 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))) (+.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1/6 x) 2) 3) (pow.f64 (/.f64 (/.f64 4 x) x) 3)) (/.f64 1 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))) (+.f64 (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (pow.f64 (*.f64 -1/6 x) 2)) (+.f64 (*.f64 (/.f64 (/.f64 4 x) x) (/.f64 (/.f64 4 x) x)) (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/216) (*.f64 (pow.f64 x 3) -1/216)) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))) (-.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/216) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/216) (*.f64 (pow.f64 x 3) -1/216)) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) 1) (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) (*.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))) (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))) (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) (+.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 2 (/.f64 1 x))))) (-.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 2 (/.f64 1 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 -1/6 x (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/6 (*.f64 2 (/.f64 1 x)))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/6 x))
(fma.f64 1 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 1 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/6 x))
(fma.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 -1/6 x)) (*.f64 2 (/.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x))) (sqrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 -1/6 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -1/6 x) 2)) (cbrt.f64 (*.f64 -1/6 x)) (*.f64 2 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 x) x)) (cbrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 -1/6 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 1/216 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/216 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/216 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 1/216 (pow.f64 x 5)) (*.f64 1/2592 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/216 (pow.f64 x 5) (*.f64 1/2592 (pow.f64 x 7)))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 96 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 96 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 1152 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 -1152 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 13824 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 96 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 1152 (pow.f64 x 5))) (/.f64 13824 (pow.f64 x 7))))
(+.f64 (+.f64 (+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 -1152 (pow.f64 x 5))) (/.f64 -13824 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x)) (-.f64 (/.f64 -1152 (pow.f64 x 5)) (/.f64 13824 (pow.f64 x 7))))
(/.f64 -8 x)
(neg.f64 (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 96 (pow.f64 x 3)) (/.f64 8 x)))
(+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x))
(neg.f64 (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 96 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 1152 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 -1152 (pow.f64 x 5)))
(neg.f64 (+.f64 (*.f64 13824 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 1152 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 96 (/.f64 1 (pow.f64 x 3))) (*.f64 8 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 96 (pow.f64 x 3)) (/.f64 8 x)) (/.f64 1152 (pow.f64 x 5))) (/.f64 13824 (pow.f64 x 7))))
(+.f64 (+.f64 (+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x)) (/.f64 -1152 (pow.f64 x 5))) (/.f64 -13824 (pow.f64 x 7)))
(+.f64 (+.f64 (/.f64 -96 (pow.f64 x 3)) (/.f64 -8 x)) (-.f64 (/.f64 -1152 (pow.f64 x 5)) (/.f64 13824 (pow.f64 x 7))))
(/.f64 2 x)
(*.f64 -1/6 x)
(*.f64 x -1/6)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(*.f64 -1/6 x)
(*.f64 x -1/6)
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (/.f64 1 x)) 2 (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 4/3 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x))) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 4/3 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))) (*.f64 (/.f64 1 x) 0) (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 -2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (*.f64 2 (/.f64 1 x))) 1 (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 4/3 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x))) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 4/3 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))) (*.f64 (/.f64 1 x) 0) (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 -2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 -2 (/.f64 1 x) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 4/3 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x))) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 4/3 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))) (*.f64 (/.f64 1 x) 0) (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 -2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x)))) (sqrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 4/3 (fma.f64 (/.f64 -1 x) 2 (/.f64 2 x))) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x)))))
(fma.f64 (/.f64 4/3 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))) (*.f64 (/.f64 1 x) 0) (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))))
(+.f64 (/.f64 4/3 (fma.f64 x -1/6 (/.f64 2 x))) (/.f64 (*.f64 (/.f64 -2 x) 0) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x)))))
(+.f64 (/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) (*.f64 (/.f64 4/3 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 2 (/.f64 1 x)))) (cbrt.f64 (/.f64 (/.f64 4 x) x)) (*.f64 2 (/.f64 1 x)))))
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(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 4) (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 (*.f64 x x)))) (*.f64 (fma.f64 -1/6 x (/.f64 -2 x)) (+.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x -1/6) 4) (*.f64 (/.f64 4 (*.f64 x x)) (/.f64 -4 (*.f64 x x)))) (*.f64 (fma.f64 x -1/6 (/.f64 -2 x)) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 4 (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 -1/6 x) 2) 3) (pow.f64 (/.f64 (/.f64 4 x) x) 3)) (/.f64 1 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))) (+.f64 (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (pow.f64 (*.f64 -1/6 x) 2)) (+.f64 (*.f64 (/.f64 (/.f64 4 x) x) (/.f64 (/.f64 4 x) x)) (*.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 x -1/6) 2) 3) (pow.f64 (/.f64 4 (*.f64 x x)) 3)) (fma.f64 -1/6 x (/.f64 -2 x))) (+.f64 (pow.f64 (*.f64 x -1/6) 4) (*.f64 (/.f64 4 (*.f64 x x)) (+.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) 1/36) 3) (/.f64 64 (pow.f64 (*.f64 x x) 3))) (fma.f64 (/.f64 4 (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 4 (*.f64 x x))) (pow.f64 (*.f64 x -1/6) 4))) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/216) (*.f64 (pow.f64 x 3) -1/216)) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))) (-.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/46656) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (*.f64 x (/.f64 -1/3 x))))) (-.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/46656) (/.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 x (/.f64 -1/3 x)) (*.f64 (*.f64 x x) 1/36))) (fma.f64 (pow.f64 x 3) -1/216 (/.f64 -8 (pow.f64 x 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/46656) (/.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 1/3 x) x))) (fma.f64 (pow.f64 x 3) -1/216 (/.f64 -8 (pow.f64 x 3)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/216) 3) (pow.f64 (/.f64 8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))) (-.f64 (+.f64 (*.f64 (*.f64 (pow.f64 x 3) -1/216) (*.f64 (pow.f64 x 3) -1/216)) (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3)))) (*.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/216) 3) (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (*.f64 x (/.f64 -1/3 x))))) (+.f64 (*.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) 1/46656) (-.f64 (*.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 8 (pow.f64 x 3))) (*.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/10077696 (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (-.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 x (/.f64 -1/3 x)) (*.f64 (*.f64 x x) 1/36))) (-.f64 (fma.f64 (pow.f64 x 6) 1/46656 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 (pow.f64 x 3) (/.f64 -1/27 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/10077696 (/.f64 512 (pow.f64 (pow.f64 x 3) 3))) (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 1/3 x) x))) (-.f64 (fma.f64 (pow.f64 x 6) 1/46656 (/.f64 64 (pow.f64 (*.f64 x x) 3))) (*.f64 (pow.f64 x 3) (/.f64 -1/27 (pow.f64 x 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) 1) (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x))) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x)))) (sqrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x))) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) (*.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))) (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))) (cbrt.f64 (+.f64 (*.f64 -1/6 x) (/.f64 -2 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x))) (fma.f64 -1/6 x (/.f64 -2 x)))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))) (fma.f64 x -1/6 (/.f64 -2 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (/.f64 (/.f64 4 x) x)) (+.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 2 (/.f64 1 x))))) (-.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 2 (/.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -1/6) 2) (/.f64 4 (*.f64 x x))) (*.f64 (-.f64 (sqrt.f64 (*.f64 x -1/6)) (sqrt.f64 (/.f64 2 x))) (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (*.f64 x -1/6)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))) (*.f64 (+.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (*.f64 x -1/6))) (-.f64 (sqrt.f64 (*.f64 x -1/6)) (sqrt.f64 (/.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))) 1) (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (-.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 x (/.f64 -1/3 x)) (*.f64 (*.f64 x x) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 1/3 x) x))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x)))))) (sqrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (-.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 x (/.f64 -1/3 x)) (*.f64 (*.f64 x x) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 1/3 x) x))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/216) (/.f64 8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))) (cbrt.f64 (+.f64 (/.f64 (/.f64 4 x) x) (-.f64 (pow.f64 (*.f64 -1/6 x) 2) (*.f64 x (/.f64 -1/3 x))))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 x -1/6) 2) (*.f64 x (/.f64 -1/3 x)))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (-.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 x (/.f64 -1/3 x)) (*.f64 (*.f64 x x) 1/36))))
(/.f64 (fma.f64 (pow.f64 x 3) -1/216 (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 x x) 1/36) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 (*.f64 1/3 x) x))))
(pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 1)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 2)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 3)
(fma.f64 x -1/6 (/.f64 2 x))
(pow.f64 (pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 3) 1/3)
(fma.f64 x -1/6 (/.f64 2 x))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 x -1/6 (/.f64 2 x)) 2))
(fabs.f64 (fma.f64 x -1/6 (/.f64 2 x)))
(log.f64 (exp.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))))
(fma.f64 x -1/6 (/.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))) 3))
(fma.f64 x -1/6 (/.f64 2 x))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(exp.f64 (log.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 -1/6 x (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 x -1/6 (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 1 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 1 (*.f64 2 (/.f64 1 x)) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 -1/6 x)) (sqrt.f64 (*.f64 -1/6 x)) (*.f64 2 (/.f64 1 x)))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (sqrt.f64 (*.f64 2 (/.f64 1 x))) (sqrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 -1/6 x))
(fma.f64 x -1/6 (/.f64 2 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 -1/6 x) 2)) (cbrt.f64 (*.f64 -1/6 x)) (*.f64 2 (/.f64 1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -1/6) 2)) (cbrt.f64 (*.f64 x -1/6)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36)) (cbrt.f64 (*.f64 x -1/6)) (/.f64 2 x))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 4 x) x)) (cbrt.f64 (*.f64 2 (/.f64 1 x))) (*.f64 -1/6 x))
(fma.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (cbrt.f64 (/.f64 2 x)) (*.f64 x -1/6))

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
Compiler

Compiled 25 to 20 computations (20% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 x)
0.1b
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
0.2b
(*.f64 (cos.f64 x) -4/3)
2.4b
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
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) -4/3)) (sin.f64 x))
0.0ms
x
@-inf
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
0.0ms
x
@inf
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
0.0ms
x
@-inf
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
0.0ms
x
@0
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))

rewrite82.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1024×*-commutative
1012×associate-*r/
760×associate-*l/
758×associate-/r*
600×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
123347
2294247
Stop Event
node limit
Counts
3 → 151
Calls
Call 1
Inputs
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (cos.f64 x) -4/3)
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) 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simplify106.0ms (1.1%)

Algorithm
egg-herbie
Rules
916×distribute-lft-neg-out
690×distribute-rgt-neg-out
612×associate-*r*
562×associate-*l*
504×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04077095
110986515
250936155
Stop Event
node limit
Counts
187 → 236
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)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 -4/3 (cos.f64 x))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) -1/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))) 1)
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(*.f64 1 (+.f64 4/3 (*.f64 (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 (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 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))
(*.f64 -1 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
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(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 1))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) 1))
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -4/3 (*.f64 4/3 (cos.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))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.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) (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 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sqrt.f64 (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 (+.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) (sin.f64 x)) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (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 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.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 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(+.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 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.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 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(fma.f64 2/3 (*.f64 x x) -4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4))) -4/3)
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 6)))) -4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))) (fma.f64 -1/18 (pow.f64 x 4) -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 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) -1/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) 16/9)))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 16/9 (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 4/3 (cos.f64 x) 4/3))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3)))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(fma.f64 -4/3 (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))))
(fma.f64 -4/3 (cos.f64 x) 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))
(fma.f64 -4/3 (cos.f64 x) 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))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) 16/9)))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 16/9 (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 4/3 (cos.f64 x) 4/3))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) 16/9))
(*.f64 -1 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))) (neg.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2)) (neg.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) 16/9)))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 16/9 (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 4/3 (cos.f64 x) 4/3))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) 16/9))
(*.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) -16/9))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 -16/9) 16/9))
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 16/9 (cos.f64 x) 16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) 16/9 16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9))))
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(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 -4/3 (cos.f64 x) 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 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) -4/3))) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) -4/3) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 2)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 3)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(*.f64 -4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) -4/3))))
(*.f64 -4/3 (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
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(exp.f64 (log.f64 (*.f64 (cos.f64 x) -4/3)))
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(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))
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(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
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(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
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(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (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))))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.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 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.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 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (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 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (sin.f64 x)) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) -16/9))) (/.f64 (+.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)) (sin.f64 x))))
(*.f64 (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 -16/9) 16/9) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (*.f64 (sin.f64 x) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(/.f64 (*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)))) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 16/9 (cos.f64 x) 16/9)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (/.f64 (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) 16/9 16/9)))) (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9)))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(*.f64 (+.f64 256/81 (*.f64 (cos.f64 x) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9) -16/9)))) (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)) 3))))
(*.f64 (fma.f64 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9)) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) -16/9) 256/81) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9)) 3))))
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 2)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))) 3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))

eval401.0ms (4.1%)

Compiler

Compiled 20312 to 15810 computations (22.2% saved)

prune178.0ms (1.8%)

Pruning

22 alts after pruning (15 fresh and 7 done)

PrunedKeptTotal
New91911930
Fresh145
Picked011
Done268
Total92222944
Error
0b
Counts
944 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
31.7b
(pow.f64 (/.f64 3/2 x) -1)
29.7b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
46.6b
(/.f64 (+.f64 (/.f64 -8/3 x) (*.f64 x -2/9)) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))))
29.7b
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
0.1b
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.4b
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
31.8b
(/.f64 4/3 (/.f64 2 x))
31.6b
(/.f64 4/3 (/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))))
0.4b
(/.f64 4/3 (/.f64 1 (tan.f64 (/.f64 x 2))))
31.6b
(/.f64 4/3 (+.f64 (/.f64 -1/6 (/.f64 1 x)) (*.f64 2 (/.f64 1 x))))
31.6b
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
0.5b
(/.f64 4/3 (*.f64 (/.f64 1 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))))
62.3b
(/.f64 4/3 (*.f64 x -1/6))
0.2b
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
62.3b
(/.f64 -8 x)
60.0b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
31.6b
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
31.8b
(*.f64 (*.f64 1/4 x) 8/3)
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
31.8b
(*.f64 x 2/3)
31.8b
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
45.7b
(fabs.f64 (*.f64 2/3 x))
Compiler

Compiled 207 to 171 computations (17.4% saved)

regimes64.0ms (0.7%)

Counts
60 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 -8 x)
(*.f64 (*.f64 1/4 x) 8/3)
(/.f64 4/3 (*.f64 x -1/6))
(/.f64 4/3 (/.f64 2 x))
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
(/.f64 4/3 (+.f64 (/.f64 -1/6 (/.f64 1 x)) (*.f64 2 (/.f64 1 x))))
(/.f64 4/3 (/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))))
(/.f64 (+.f64 (/.f64 -8/3 x) (*.f64 x -2/9)) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) 1/2)
(/.f64 1 (/.f64 3/4 (tan.f64 (/.f64 x 2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (/.f64 x 2))))
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(/.f64 (*.f64 (*.f64 x x) 2/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 (cos.f64 x) 2)) (sin.f64 x)) 8/3)
(/.f64 4/3 (/.f64 (cos.f64 (/.f64 x 2)) (sin.f64 (/.f64 x 2))))
(/.f64 (*.f64 (sin.f64 (/.f64 x 2)) 4/3) (cos.f64 (/.f64 x 2)))
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))
(*.f64 (*.f64 (sin.f64 (/.f64 x 2)) (/.f64 1 (cos.f64 (/.f64 x 2)))) 4/3)
(*.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x))) 8/3)
(/.f64 1 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))))
(/.f64 4/3 (*.f64 (/.f64 1 (sin.f64 (/.f64 x 2))) (cos.f64 (/.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (/.f64 x 2))) 3) 4/3)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (*.f64 x 1/2)) 2) (sin.f64 x))
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(/.f64 (*.f64 8/3 (/.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))
Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
Calls

2 calls:

25.0ms
x
21.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 636 to 474 computations (25.5% saved)

regimes13.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 -8 x)
(*.f64 (*.f64 1/4 x) 8/3)
(/.f64 4/3 (*.f64 x -1/6))
(/.f64 4/3 (/.f64 2 x))
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
(/.f64 4/3 (+.f64 (/.f64 -1/6 (/.f64 1 x)) (*.f64 2 (/.f64 1 x))))
(/.f64 4/3 (/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))))
(/.f64 (+.f64 (/.f64 -8/3 x) (*.f64 x -2/9)) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Outputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 130 to 102 computations (21.5% saved)

regimes13.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 -8 x)
(*.f64 (*.f64 1/4 x) 8/3)
(/.f64 4/3 (*.f64 x -1/6))
(/.f64 4/3 (/.f64 2 x))
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
(/.f64 4/3 (+.f64 (/.f64 -1/6 (/.f64 1 x)) (*.f64 2 (/.f64 1 x))))
(/.f64 4/3 (/.f64 1 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))))
(/.f64 (+.f64 (/.f64 -8/3 x) (*.f64 x -2/9)) (+.f64 (*.f64 (*.f64 x x) 1/36) (/.f64 -4 (*.f64 x x))))
(fabs.f64 (*.f64 2/3 x))
(pow.f64 (/.f64 3/2 x) -1)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
Outputs
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
31.6b1x
Compiler

Compiled 124 to 97 computations (21.8% saved)

regimes7.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
31.6b1x
Compiler

Compiled 49 to 39 computations (20.4% saved)

regimes7.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 -8 x)
(*.f64 (*.f64 1/4 x) 8/3)
(/.f64 4/3 (*.f64 x -1/6))
(/.f64 4/3 (/.f64 2 x))
(*.f64 -4/3 (/.f64 1 (/.f64 -2 x)))
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
Outputs
(*.f64 (*.f64 1/4 x) 8/3)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
31.8b1x
Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes4.0ms (0%)

Accuracy

Total -31.2b remaining (-98.2%)

Threshold costs -31.2b (-98.2%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
31.8b1x
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026122
136122
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(*.f64 (*.f64 1/4 x) 8/3)
(*.f64 x 2/3)
Outputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 (/.f64 1 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x)))) 4/3)
(*.f64 4/3 (/.f64 1 (+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x)))))
(/.f64 4/3 (+.f64 (*.f64 -1/6 x) (*.f64 2 (/.f64 1 x))))
(/.f64 4/3 (+.f64 (*.f64 x -1/6) (*.f64 2 (/.f64 1 x))))
(*.f64 (*.f64 1/4 x) 8/3)
(*.f64 (*.f64 x 1/4) 8/3)
(*.f64 x 2/3)
Compiler

Compiled 50 to 42 computations (16% saved)

soundness185.0ms (1.9%)

Algorithm
egg-herbie
Rules
1458×fma-def
1408×distribute-lft-in
1218×associate-+r+
1146×associate-+l+
1112×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
070211930
1178610686
2693610686
01181321
12521297
29201297
331441297
476861297
Stop Event
node limit
node limit
saturated
Compiler

Compiled 188 to 141 computations (25% saved)

end39.0ms (0.4%)

Compiler

Compiled 45 to 37 computations (17.8% saved)

Profiling

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