Details

Time bar (total: 9.2s)

analyze462.0ms (5%)

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)

sample3.0s (33%)

Results
1.5s2043×body1024valid
1.1s5160×body256valid
423.0ms1045×body512valid
8.0msbody2048valid
Bogosity

preprocess17.0ms (0.2%)

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)

simplify13.0ms (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
16.5b
Counts
5 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
16.6b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
16.6b
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
16.6b
(*.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)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.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)
16.4b
(/.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))
1.0ms
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)

rewrite97.0ms (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 1/2 (*.f64 -1/2 (cos.f64 x))) (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 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(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 1/2 (*.f64 -1/2 (cos.f64 x))) (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 1/2 (*.f64 -1/2 (cos.f64 x))) (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 #<rule egg-rr> (2) ((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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 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 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) 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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 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)))) (#(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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 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 1/2 (*.f64 -1/2 (cos.f64 x)))))))))

simplify148.0ms (1.6%)

Algorithm
egg-herbie
Rules
1576×associate-/l*
1054×associate-/l/
682×times-frac
678×associate-/r/
576×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070011172
117729948
277309948
Stop Event
node limit
Counts
300 → 394
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 1/2 (*.f64 -1/2 (cos.f64 x))) (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 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.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 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 (sin.f64 x) 8/3) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.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 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (/.f64 (sin.f64 x) 8/3) (*.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 (/.f64 (sin.f64 x) 8/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (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)))
(/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 8/3))
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) (/.f64 (/.f64 (sin.f64 x) 8/3) 1/2))
(/.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))))
(/.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))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 (sin.f64 x) 8/3) (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 (/.f64 (sin.f64 x) 8/3) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
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(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (*.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 1/2 (cos.f64 x)))) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 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 1/2 (cos.f64 x))) 8/3) -1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) 8/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) 1) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (*.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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (cos.f64 x)) 1/2)
(+.f64 (neg.f64 (*.f64 1/2 (cos.f64 x))) 1/2)
(-.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 (/.f64 (cos.f64 0) 2) (/.f64 (cos.f64 x) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 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)))))
(/.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 (cos.f64 0) (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 (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 (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 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) -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 1/8 (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 (-.f64 (cos.f64 0) (cos.f64 x)) 1) 2)
(/.f64 -2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 0 x) 2)) (sin.f64 (/.f64 (+.f64 x 0) 2)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))
(/.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 (-.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 (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 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 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 (-.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 (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 2))
(/.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 (*.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 (-.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))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 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 1/2 (*.f64 -1/2 (cos.f64 x)))))
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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
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(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.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 (cos.f64 x) 1) 1/2))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 x) 1)) 1/2)
(/.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 (cos.f64 x) 1))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (+.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 x) 1)) 1/2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 1)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3) 1/3)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(expm1.f64 (log.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(fma.f64 -1/2 (cos.f64 x) 1/2)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.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))))
16.4b
(/.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))

rewrite73.0ms (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))))) (#(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 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.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))) (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 (/.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (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 (*.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))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))))

simplify70.0ms (0.8%)

Algorithm
egg-herbie
Rules
1522×associate-/l*
998×*-commutative
782×times-frac
698×associate-/r*
644×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02513322
16303184
222973180
Stop Event
node limit
Counts
98 → 157
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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1)
(neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 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 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 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 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(*.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
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(/.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.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 8/3 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x)))))
(*.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))) (+.f64 (cos.f64 x) 1)) 16/3)
(/.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 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (*.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))) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)))
(/.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 8/3 (/.f64 (cbrt.f64 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(/.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 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)))
(/.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 (sqrt.f64 (-.f64 1 (cos.f64 x))) 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 2)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 2) 8/3)))
(/.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 8/3 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/4 (*.f64 (*.f64 1/4 (cos.f64 x)) (cos.f64 x)))))
(*.f64 (/.f64 8/3 (fma.f64 1/2 (cos.f64 x) 1/2)) (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) 1/4))) (+.f64 (cos.f64 x) 1)) 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 8/3 (-.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (*.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))) (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4))
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (fma.f64 (*.f64 1/2 (cos.f64 x)) (fma.f64 1/2 (cos.f64 x) 1/2) 1/4)))
(/.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 -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 -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 -4/3 (cos.f64 x)))
(pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.3b
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
16.4b
(/.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))

rewrite76.0ms (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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 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 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 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))) (/.f64 1 (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 -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 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 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(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 -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) (sin.f64 x)) 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 #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(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 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))))
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simplify74.0ms (0.8%)

Algorithm
egg-herbie
Rules
1494×unswap-sqr
828×distribute-rgt-in
828×distribute-lft-in
714×associate-/r*
580×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02764380
17014250
226034240
Stop Event
node limit
Counts
124 → 155
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 8/3 (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) (/.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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (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))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (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 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (*.f64 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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (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)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 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)
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 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))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (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))))
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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (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 (/.f64 (sqrt.f64 8/3) (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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 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))) (/.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 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.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 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 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))))
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(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 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 (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 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))
(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 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))
(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 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))

eval272.0ms (3%)

Compiler

Compiled 14244 to 9786 computations (31.3% saved)

prune151.0ms (1.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New78214796
Fresh000
Picked101
Done202
Total78514799
Error
0b
Counts
799 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
16.6b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
16.5b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
35.3b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
35.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
35.1b
(/.f64 (*.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
42.5b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
35.1b
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
26.8b
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
35.1b
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
49.9b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
35.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
0.2b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
26.2b
(*.f64 x 2/3)
Compiler

Compiled 310 to 248 computations (20% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 40 to 28 computations (30% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite104.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1268×associate-/r*
1146×associate-/l*
946×unswap-sqr
810×swap-sqr
256×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01281
125671
2323971
Stop Event
node limit
Counts
3 → 266
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
Outputs
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simplify123.0ms (1.3%)

Algorithm
egg-herbie
Rules
1612×associate-/l*
912×associate-/l/
850×times-frac
848×associate-/r*
842×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068614178
1181014104
Stop Event
node limit
Counts
302 → 408
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 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(/.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)) (sin.f64 x)) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 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 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (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 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 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(/.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)) (sin.f64 x))) (/.f64 3/8 (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
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(*.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)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 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))
(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 1/16 (*.f64 x x)))
(+.f64 1/2 (*.f64 x (*.f64 x 1/16)))
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (*.f64 x (*.f64 x 1/16))))
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (*.f64 1/16 (*.f64 x x)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (*.f64 x (*.f64 x 1/16)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(*.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))
(+.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)))
(+.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))))
(*.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 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (/.f64 3/8 (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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 3/8 (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 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) -3/8) (neg.f64 (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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 3/8 (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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3/8))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (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 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 1 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (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 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (/.f64 3/8 (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (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 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.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 x) 3/8)))
(/.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 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (*.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 x) 3/8)))
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(*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))
(*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 8/3 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -8/3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 -8/3 (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 8/3)
(*.f64 8/3 (*.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 8/3 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) 8/3)
(*.f64 8/3 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (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 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 3/8))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 3/8 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 (*.f64 (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 (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 (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)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 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 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.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)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 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 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))) (*.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)) 8/3) 1)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 2)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 3)
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 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 8/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/8) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(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 8/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))

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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite48.0ms (0.5%)

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)))))))

simplify64.0ms (0.7%)

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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
0.3b
(*.f64 2/3 x)
0.4b
(*.f64 1/18 (pow.f64 x 3))
Compiler

Compiled 25 to 19 computations (24% saved)

series4.0ms (0%)

Counts
3 → 3
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 1/18 (pow.f64 x 3))
1.0ms
x
@inf
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
1.0ms
x
@0
(*.f64 1/18 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 1/18 (pow.f64 x 3))
0.0ms
x
@-inf
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))

rewrite82.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
858×*-commutative
682×unswap-sqr
540×swap-sqr
410×distribute-lft-in
404×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
122241
2264341
Stop Event
node limit
Counts
3 → 127
Calls
Call 1
Inputs
(*.f64 1/18 (pow.f64 x 3))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/18) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/18 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/18 (pow.f64 x 3))))))))
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x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 1/18)) (*.f64 x 2/3))))))

simplify102.0ms (1.1%)

Algorithm
egg-herbie
Rules
1480×associate-*r/
1210×associate-*l/
706×associate-+r+
594×associate-*r*
564×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03577266
110016816
244436804
Stop Event
node limit
Counts
130 → 187
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1))
(pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/18)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/324))
(log.f64 (pow.f64 (exp.f64 1/18) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832))
(expm1.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 1/18 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 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 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (-.f64 1 (*.f64 1/18 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 2/3)))
(-.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1)
(-.f64 (+.f64 (*.f64 x 2/3) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1)
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (*.f64 x x))))
(*.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1)
(*.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
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(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324))) (*.f64 (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x)))))
(pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 3)
(pow.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (neg.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 2))
(log.f64 (exp.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))))
(cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(exp.f64 (log.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(log1p.f64 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3))
(fma.f64 1 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 x 2/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 1/18)) (*.f64 x 2/3))
Outputs
(*.f64 2/3 x)
(*.f64 1/18 (pow.f64 x 3))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) -1)
(*.f64 1/18 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1)
(*.f64 1/18 (pow.f64 x 3))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1) (*.f64 1/18 (pow.f64 x 3))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) 1))
(pow.f64 (*.f64 1/18 (pow.f64 x 3)) 1)
(*.f64 1/18 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2)
(pow.f64 (*.f64 x (cbrt.f64 1/18)) 3)
(*.f64 1/18 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/324))
(log.f64 (pow.f64 (exp.f64 1/18) (pow.f64 x 3)))
(*.f64 1/18 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/18 (pow.f64 x 3)))))
(*.f64 1/18 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832))
(expm1.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))
(*.f64 1/18 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/18 (pow.f64 x 3))))
(*.f64 1/18 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/18 (pow.f64 x 3))))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) -1)
(*.f64 2/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(*.f64 2/3 x)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/3 x)))) (*.f64 2/3 x)) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2/3 x)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 2/3 x)))) (+.f64 1 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(sqrt.f64 (*.f64 4/9 (*.f64 x x)))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) (-.f64 1 (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3)))) (-.f64 1 (*.f64 x 2/3)))
(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 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))
(-.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324) (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x)))
(fma.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324 (/.f64 -4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (exp.f64 (log1p.f64 (*.f64 x 2/3)))) 1)
(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 (*.f64 x 2/3) (exp.f64 (log1p.f64 (*.f64 1/18 (pow.f64 x 3))))) 1)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 x (+.f64 2/3 (*.f64 1/18 (*.f64 x 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 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(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 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(*.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(*.f64 (+.f64 (*.f64 4/9 (*.f64 x x)) (*.f64 -1/324 (pow.f64 x 6))) (/.f64 1 (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(*.f64 (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) (/.f64 1 (neg.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(*.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27))) (/.f64 1 (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(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 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 -8/27 (pow.f64 x 3)))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) -8/27))) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (/.f64 (fma.f64 (pow.f64 x 3) -8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))) (*.f64 (pow.f64 x 6) 1/324))))
(*.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (-.f64 (*.f64 (pow.f64 x 12) 1/104976) (pow.f64 (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))) 2))) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x -2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 (*.f64 x -2/3) (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))) (-.f64 (*.f64 (pow.f64 x 12) 1/104976) (pow.f64 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18)))) 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) 512/19683)) (*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))) (fma.f64 1/34012224 (pow.f64 (pow.f64 x 3) 6) (-.f64 (*.f64 (pow.f64 x 6) 64/729) (*.f64 (pow.f64 (pow.f64 x 3) 3) (*.f64 1/5832 (*.f64 (pow.f64 x 3) 8/27)))))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 512/19683 (*.f64 (pow.f64 (pow.f64 (pow.f64 x 3) 3) 3) 1/198359290368)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324))) (fma.f64 1/34012224 (pow.f64 (pow.f64 x 3) 6) (fma.f64 (pow.f64 x 6) 64/729 (*.f64 (*.f64 1/5832 (pow.f64 x 12)) -8/27))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) 1) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (*.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))) (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (+.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (sqrt.f64 (*.f64 x 2/3))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (+.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (sqrt.f64 (*.f64 2/3 x)))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (sqrt.f64 (*.f64 2/3 x))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (*.f64 (fma.f64 (pow.f64 x 3/2) (sqrt.f64 1/18) (sqrt.f64 (*.f64 2/3 x))) (-.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (sqrt.f64 (*.f64 2/3 x)))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) 1) (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324))) (*.f64 (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x 6) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 4/9 (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324) (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324)) (*.f64 (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x)) (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/324) (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 12) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (/.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)) 1/324)) (*.f64 (*.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))) (pow.f64 x 4))) (fma.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 x 6) 1/324) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 12) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) 1/104976) (*.f64 (/.f64 (/.f64 16/81 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (pow.f64 x 4))) (fma.f64 (/.f64 4/9 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))) (*.f64 x x) (/.f64 (*.f64 (pow.f64 x 6) 1/324) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))))
(pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 1)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(pow.f64 (sqrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 2)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(pow.f64 (cbrt.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))) 3)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(pow.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 3) 1/3)
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) -4/9)) (neg.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))))
(*.f64 (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 x -4/9))) (/.f64 1 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3))))
(/.f64 (fma.f64 x (*.f64 x -4/9) (*.f64 (pow.f64 x 6) 1/324)) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x -2/3)))
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832) (*.f64 (pow.f64 x 3) 8/27)) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (+.f64 (*.f64 x 2/3) (*.f64 (pow.f64 x 3) -1/18)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832 (*.f64 (pow.f64 x 3) 8/27)) 1) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (fma.f64 x 2/3 (*.f64 (pow.f64 x 3) -1/18))))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 (*.f64 (pow.f64 (pow.f64 x 3) 3) 1/5832)) (fma.f64 x (*.f64 2/3 (fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/18))) (*.f64 (pow.f64 x 6) 1/324)))
(sqrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)) 2))
(fabs.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))
(log.f64 (exp.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(cbrt.f64 (pow.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)) 3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(expm1.f64 (log1p.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(exp.f64 (log.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(log1p.f64 (expm1.f64 (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) (*.f64 x 2/3))
(+.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/18)) 2) (*.f64 2/3 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 (*.f64 (cbrt.f64 1/324) (*.f64 x x)) (*.f64 x (cbrt.f64 1/18)) (*.f64 x 2/3))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/324)) (*.f64 x (cbrt.f64 1/18)) (*.f64 2/3 x))
(fma.f64 (*.f64 x (*.f64 x (cbrt.f64 1/324))) (*.f64 x (cbrt.f64 1/18)) (*.f64 2/3 x))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (cos.f64 x) 3/4)
0.1b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
2.4b
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite87.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1428×associate-*l/
1222×associate-/r*
1160×associate-/l*
1114×*-commutative
418×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01155
124555
2322755
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (cos.f64 x) 3/4)
Outputs
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simplify112.0ms (1.2%)

Algorithm
egg-herbie
Rules
666×associate-*r*
650×associate-+r+
650×associate-*l*
628×associate-+l+
606×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04246784
111926362
260486346
Stop Event
node limit
Counts
192 → 253
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)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
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(*.f64 (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (sqrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
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(*.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 (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 (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 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(*.f64 (/.f64 (*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 (*.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(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))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 1 (*.f64 4/3 (cos.f64 x)))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 4/3 (sqrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 4/3 (cbrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(*.f64 (*.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 -4/3 (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
Outputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) -2/3))
(fma.f64 (*.f64 x x) -2/3 4/3)
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3)))
(+.f64 (fma.f64 (*.f64 x x) -2/3 4/3) (*.f64 (pow.f64 x 4) 1/18))
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(+.f64 4/3 (fma.f64 -1/540 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3))))
(+.f64 (fma.f64 (pow.f64 x 6) -1/540 (*.f64 (pow.f64 x 4) 1/18)) (fma.f64 (*.f64 x x) -2/3 4/3))
(+.f64 (fma.f64 (*.f64 x x) -2/3 4/3) (fma.f64 (pow.f64 x 6) -1/540 (*.f64 (pow.f64 x 4) 1/18)))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (-.f64 4/3 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 1 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(fma.f64 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 4/3)
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) 2) (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))))
(/.f64 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9))
(*.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))
(/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (/.f64 1 (+.f64 (*.f64 16/9 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 16/9))) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)))
(/.f64 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (fma.f64 16/9 (cos.f64 x) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 (cos.f64 x) -4/3) (fma.f64 (cos.f64 x) -4/3 -4/3) 16/9))
(*.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9) (*.f64 (cos.f64 x) 16/9))) (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27)) (*.f64 16/9 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))))
(*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27)) (+.f64 16/9 (*.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))))
(*.f64 (/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))
(*.f64 (/.f64 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (-.f64 256/81 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))))) (-.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 256/81) 256/81)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) -16/9) 16/9))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 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)) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (+.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.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 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.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 (fma.f64 (cos.f64 x) -4/3 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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.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 (cos.f64 x) -4/3 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 (/.f64 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (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 (/.f64 1 (sqrt.f64 (sin.f64 x))) (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (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 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (sin.f64 x))) (+.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 16/9 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 16/9) (*.f64 (cos.f64 x) 16/9))) (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))))
(*.f64 (*.f64 16/9 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 x) 1) (cos.f64 x))) (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (*.f64 (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x))))
(*.f64 (+.f64 16/9 (*.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) 1)))) (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (*.f64 (fma.f64 64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (-.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x)))))) (-.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (*.f64 16/9 (cos.f64 x))))
(*.f64 (-.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))) (/.f64 (*.f64 (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (-.f64 256/81 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))))))
(*.f64 (-.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (*.f64 (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)))) (sin.f64 x))))
(*.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) -16/9) 16/9))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (*.f64 (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 256/81) 256/81)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 1 (sin.f64 x)) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (+.f64 4096/729 (pow.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) 3))) (-.f64 (+.f64 256/81 (*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))) (*.f64 16/9 (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) (*.f64 16/9 (cos.f64 x))))))
(*.f64 (+.f64 256/81 (-.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9)) (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))) (*.f64 16/9 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9))))) (/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (+.f64 4096/729 (pow.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) 16/9 (*.f64 (cos.f64 x) 16/9)) 3)) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))))))
(*.f64 (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) (-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) 16/9))) (/.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) (+.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) 3))))
(*.f64 (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (+.f64 16/9 (*.f64 (cos.f64 x) 16/9))) (-.f64 (*.f64 (cos.f64 x) (+.f64 16/9 (*.f64 (cos.f64 x) 16/9))) 16/9))) (/.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) (+.f64 16/9 (*.f64 (cos.f64 x) 16/9))) 3))))
(*.f64 (/.f64 (-.f64 (*.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 4/3 (cos.f64 x)) (sin.f64 x))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(*.f64 2 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (-.f64 1 (cos.f64 (+.f64 x x))))
(pow.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (neg.f64 (sin.f64 x)))
(/.f64 (fma.f64 4/3 (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))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 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 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 4/3 (cos.f64 x))
(*.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 1 (*.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 4/3 (sqrt.f64 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2))
(*.f64 4/3 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 2) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 4/3 (cbrt.f64 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(*.f64 4/3 (cos.f64 x))
(*.f64 (*.f64 4/3 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (*.f64 4/3 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 4/3 (cos.f64 x))
(*.f64 -4/3 (neg.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) (cbrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) 3/4) (sqrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3/4) (cbrt.f64 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)
(*.f64 4/3 (cos.f64 x))
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(/.f64 (neg.f64 (cos.f64 x)) -3/4)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 (cos.f64 x) -4/3))
(log.f64 (exp.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (cos.f64 x)))))
(*.f64 4/3 (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(*.f64 4/3 (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
0.2b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
16.4b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite79.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1442×associate-*r/
1324×associate-*l/
1070×associate-/r*
1020×associate-/l*
272×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01377
127777
2333977
Stop Event
node limit
Counts
3 → 109
Calls
Call 1
Inputs
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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)) 3/8)
Outputs
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(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 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 pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 -3/8 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))))))

simplify76.0ms (0.8%)

Algorithm
egg-herbie
Rules
1402×associate-/r*
1236×distribute-lft-in
1226×distribute-rgt-in
970×associate-/r/
368×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02944505
16934445
227054445
Stop Event
node limit
Counts
145 → 165
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 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 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 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (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)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.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 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 1 (/.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))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 (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 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 2)
(/.f64 (*.f64 1 (-.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)))) 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 (log1p.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))) 1)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.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) (/.f64 8/3 (sin.f64 x))) 1)
(*.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 8/3))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 2) (cbrt.f64 (*.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 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) -8/3)
(*.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) 3/8) (/.f64 1 (sin.f64 x)))
(*.f64 -8/3 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (*.f64 (/.f64 3/8 (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 1 (/.f64 3/8 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) 3/8) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.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 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 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) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.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))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 -3/8 (sin.f64 x))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9))
(log.f64 (exp.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
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))
(fma.f64 1/4 x (*.f64 1/48 (pow.f64 x 3)))
(+.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)))
(fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 1/480 (pow.f64 x 5))))
(+.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))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/4 x (*.f64 1/480 (pow.f64 x 5)))))
(/.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 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 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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (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 (*.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 1 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.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 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (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 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (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 -1 (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 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)) (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)) (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 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (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 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (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 (/.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 1 (/.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 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))) 3)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(neg.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3))
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(*.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 8/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 x) (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 8/3 (sin.f64 x))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 1)
(*.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)) (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)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 3)
(*.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)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3) 1/3)
(*.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)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 3/8 (/.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 (*.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 -3/8 (sin.f64 x))))
(*.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)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2)) 64/9))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x)) 2))
(sqrt.f64 (*.f64 64/9 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (pow.f64 (sin.f64 x) 2))))
(log.f64 (exp.f64 (*.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 x 1/2)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x))) 3))
(*.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)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.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 x 1/2)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))) 1))
(*.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)) (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.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 x 1/2)) 2) (sin.f64 x)))
(/.f64 (*.f64 8/3 (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)))

eval469.0ms (5.1%)

Compiler

Compiled 22837 to 16587 computations (27.4% saved)

prune220.0ms (2.4%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New102141025
Fresh279
Picked011
Done134
Total1024151039
Error
0b
Counts
1039 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
16.5b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
35.1b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
16.9b
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
35.3b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
35.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
35.1b
(/.f64 (*.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
42.5b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
26.0b
(/.f64 (*.f64 1/4 x) 3/8)
35.1b
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
35.1b
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
35.1b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
0.2b
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
26.8b
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
26.2b
(*.f64 x 2/3)
Compiler

Compiled 285 to 231 computations (18.9% saved)

localize9.0ms (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))

rewrite60.0ms (0.7%)

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 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify74.0ms (0.8%)

Algorithm
egg-herbie
Rules
1458×fma-def
1216×associate-+r+
1148×associate-+l+
678×*-commutative
596×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01181297
12541297
29181297
331601297
477541297
Stop Event
node limit
Counts
61 → 69
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 1/2)) 4/3))) 1)
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 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 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320))))
(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 1/2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(tan.f64 (*.f64 x 1/2))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 x 1/2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite54.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1418×add-sqr-sqrt
1376×*-un-lft-identity
1314×add-cube-cbrt
1304×add-cbrt-cube
1290×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0713
11527
217607
Stop Event
node limit
Counts
1 → 28
Calls
Call 1
Inputs
(/.f64 (*.f64 1/4 x) 3/8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 x 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (/.f64 3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 x) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/4 x)) 8/3))))) (#(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)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/4) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(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 pow.f64 (/.f64 3/2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/4 x) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))))

simplify46.0ms (0.5%)

Algorithm
egg-herbie
Rules
1214×associate-/l*
882×distribute-lft-in
840×distribute-rgt-in
714×fma-def
692×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070280
1153280
2723280
32135280
Stop Event
node limit
Counts
40 → 28
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 x 2/3)) 1)
(*.f64 1/4 (*.f64 x 8/3))
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
(*.f64 x 2/3)
(*.f64 (*.f64 1/4 x) 8/3)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) 8/3))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/4 x)) 8/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 8/3 (*.f64 1/4 x))
(*.f64 (*.f64 x -1/4) -8/3)
(*.f64 2/3 x)
(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)
(pow.f64 (/.f64 3/2 x) -1)
(neg.f64 (/.f64 (*.f64 1/4 x) -3/8))
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(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 1 (*.f64 x 2/3)) 1)
(*.f64 2/3 x)
(*.f64 1/4 (*.f64 x 8/3))
(*.f64 2/3 x)
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 (*.f64 1/4 x) 8/3)
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(*.f64 1 (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (*.f64 1/2 (sqrt.f64 x)) (*.f64 (*.f64 1/2 (sqrt.f64 x)) 8/3))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 1/4 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/4 x)) 8/3))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 8/3 (*.f64 1/4 x))
(*.f64 2/3 x)
(*.f64 (*.f64 x -1/4) -8/3)
(*.f64 2/3 x)
(*.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)
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 2/3 x)
(neg.f64 (/.f64 (*.f64 1/4 x) -3/8))
(*.f64 2/3 x)
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 2/3 (*.f64 x x))
16.4b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
Compiler

Compiled 21 to 9 computations (57.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1960×add-sqr-sqrt
1934×*-un-lft-identity
1814×add-cube-cbrt
1794×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118736
2245936
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(*.f64 2/3 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 (*.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (*.f64 2/3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 2/3 (*.f64 x x)) (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 2/3 (*.f64 x x)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (sin.f64 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 2/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2/3 x) 1) (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))))))

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Rules
1652×associate-+r-
864×*-commutative
862×associate-/r*
848×associate-/l/
678×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01672035
14551993
220501993
375811993
Stop Event
node limit
Counts
83 → 88
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 x 2) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))) 1)
(*.f64 2/3 (*.f64 (*.f64 x x) (/.f64 1 (sin.f64 x))))
(*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))
(*.f64 2/3 (/.f64 1 (/.f64 (sin.f64 x) (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 2/3 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 2/3 (*.f64 x x)) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(*.f64 1 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 x (sqrt.f64 2/3)) (*.f64 (*.f64 x (sqrt.f64 2/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (*.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 2/3 x) (*.f64 x (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 2/3 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) -2/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 2/3 (*.f64 x x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 2/3 (*.f64 x x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))) (/.f64 2/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (sin.f64 x)) (*.f64 x x))
(*.f64 (/.f64 2/3 (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 x x) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 2/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 2/3 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 2/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) 1) (/.f64 (*.f64 x (sqrt.f64 2/3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 x (sqrt.f64 2/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) 1) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 2/3 x) 1) (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (*.f64 2/3 x) (sqrt.f64 (sin.f64 x))) (/.f64 x (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 2/3 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 x (cbrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 1)
(pow.f64 (/.f64 (*.f64 x (sqrt.f64 2/3)) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 3/2 (/.f64 (sin.f64 x) (*.f64 x x))) -1)
(neg.f64 (/.f64 (*.f64 2/3 (*.f64 x x)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (/.f64 (*.f64 x x) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x)))) 1)
(pow.f64 (*.f64 2/3 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 2/3 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 2/3 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 7/540 (pow.f64 x 5))))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
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(/.f64 x (/.f64 3/2 x))
(exp.f64 (log.f64 (*.f64 2/3 (*.f64 x x))))
(*.f64 2/3 (*.f64 x x))
(/.f64 x (/.f64 3/2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (*.f64 x x))) 1))
(*.f64 2/3 (*.f64 x x))
(/.f64 x (/.f64 3/2 x))
(log1p.f64 (expm1.f64 (*.f64 2/3 (*.f64 x x))))
(*.f64 2/3 (*.f64 x x))
(/.f64 x (/.f64 3/2 x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 x) 3/4)
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
2.2b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 25 to 14 computations (44% saved)

series5.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite81.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1686×associate-/r*
1626×associate-*r/
1478×associate-/l*
1220×associate-*l/
1070×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
123039
2304639
Stop Event
node limit
Counts
3 → 137
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(*.f64 (sin.f64 x) 3/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))))) (#(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 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 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(cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(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 pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))) (#(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 log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))))))

simplify90.0ms (1%)

Algorithm
egg-herbie
Rules
1810×distribute-lft-in
1710×associate-/r*
1418×associate-/l/
1236×associate-/r/
436×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03715017
19354859
237574835
Stop Event
node limit
Counts
165 → 232
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 3/4 x)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5)))))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(*.f64 3/4 (sin.f64 x))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (neg.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) 1) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (pow.f64 (cos.f64 x) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)) (/.f64 1 (+.f64 1 (cos.f64 x)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x))) (/.f64 1 (+.f64 1 (cos.f64 x)))) 2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 x) 3) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 (cos.f64 x) 3)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 x))))) (cbrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))) (sqrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))
(+.f64 (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))) (/.f64 4/3 (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(*.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(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)
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 3/4 x)
(*.f64 x 3/4)
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (*.f64 3/4 x))
(fma.f64 -1/8 (pow.f64 x 3) (*.f64 x 3/4))
(fma.f64 x 3/4 (*.f64 (pow.f64 x 3) -1/8))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 3/4 x (*.f64 (pow.f64 x 5) 1/160)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 x 3/4 (*.f64 (pow.f64 x 5) 1/160)))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) 1/160 (*.f64 x 3/4)))
(+.f64 (*.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/6720 (pow.f64 x 7)) (+.f64 (*.f64 3/4 x) (*.f64 1/160 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/6720 (pow.f64 x 7) (fma.f64 3/4 x (*.f64 (pow.f64 x 5) 1/160))))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 7) -1/6720 (fma.f64 x 3/4 (*.f64 (pow.f64 x 5) 1/160))))
(fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 7) -1/6720 (fma.f64 (pow.f64 x 5) 1/160 (*.f64 x 3/4))))
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(*.f64 3/4 (sin.f64 x))
(*.f64 (sin.f64 x) 3/4)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (sqrt.f64 (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (tan.f64 (/.f64 x 2)))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))
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(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3) 1/3)
(*.f64 (sin.f64 x) 3/4)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 2))
(fabs.f64 (*.f64 (sin.f64 x) 3/4))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/4))
(*.f64 (sin.f64 x) 3/4)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (sin.f64 x) 3/4)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/4) 3))
(*.f64 (sin.f64 x) 3/4)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sin.f64 x) 3/4)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sin.f64 x) 3/4)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 (sin.f64 x) 3/4)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
0.1b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
2.2b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 39 to 24 computations (38.5% saved)

series3.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite89.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1300×associate-/r*
1178×associate-/l*
596×associate-/l/
554×distribute-rgt-in
528×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01377
128465
2360365
Stop Event
node limit
Counts
3 → 152
Calls
Call 1
Inputs
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (cos.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) -1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (cos.f64 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 -1/2 (cos.f64 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (cos.f64 x))) 2) (cbrt.f64 (*.f64 -1/2 (cos.f64 x))) 1/2)))))
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simplify103.0ms (1.1%)

Algorithm
egg-herbie
Rules
720×associate-*r*
588×associate-*l*
566×+-commutative
476×associate-+r+
466×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04276406
111185926
255685924
Stop Event
node limit
Counts
172 → 240
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
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(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 1/2))
(+.f64 (*.f64 1/2 (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 1 (sin.f64 x))) (*.f64 1/2 (/.f64 1 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 1)
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -1/2 (cos.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 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (-.f64 (+.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) (*.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))))
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
Outputs
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.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))
(fma.f64 (pow.f64 x 3) 1/48 (*.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)))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 1/4 x (*.f64 (pow.f64 x 5) 1/480)))
(+.f64 (*.f64 17/80640 (pow.f64 x 7)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (+.f64 (*.f64 1/480 (pow.f64 x 5)) (*.f64 1/4 x))))
(fma.f64 17/80640 (pow.f64 x 7) (fma.f64 1/48 (pow.f64 x 3) (fma.f64 1/480 (pow.f64 x 5) (*.f64 1/4 x))))
(fma.f64 (pow.f64 x 7) 17/80640 (fma.f64 (pow.f64 x 3) 1/48 (fma.f64 1/4 x (*.f64 (pow.f64 x 5) 1/480))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2)
(+.f64 1/2 (expm1.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) -1/2)
(+.f64 1/2 (expm1.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))))
(*.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))
(/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4) (fma.f64 -1/2 (cos.f64 x) -1/2))
(*.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/4 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (/.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (fma.f64 -1/2 (*.f64 (cos.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 1/4)))
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 1/16 (*.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4)))))) (+.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) -1/4)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (-.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (-.f64 1/16 (*.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))))) (-.f64 1/4 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (sin.f64 x))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))) (/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x)))))
(*.f64 (fma.f64 -1/2 (*.f64 (cos.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 1/4) (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(*.f64 (+.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) -1/4)) (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (-.f64 1/16 (*.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4)))))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (sin.f64 x))) (-.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(*.f64 (-.f64 1/4 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (*.f64 (-.f64 1/16 (*.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (-.f64 (+.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))) (*.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (+.f64 1/16 (-.f64 (*.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4)))) (*.f64 1/4 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4)))))) (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 (+.f64 1/64 (pow.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) 3)) (/.f64 1 (sin.f64 x)))))
(*.f64 (+.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 1/4))) (/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (sin.f64 x)) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (sin.f64 x)) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) 3)) (+.f64 1/16 (*.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) (+.f64 (*.f64 (cos.f64 x) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))) -1/4)))))
(pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 1)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 3))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))

eval229.0ms (2.5%)

Compiler

Compiled 11820 to 7944 computations (32.8% saved)

prune121.0ms (1.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6516657
Fresh516
Picked101
Done358
Total66012672
Error
0b
Counts
672 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
35.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
42.5b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
26.0b
(/.f64 (*.f64 1/4 x) 3/8)
0.1b
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
35.1b
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 4/3)
0.4b
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.4b
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3)
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
26.8b
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
26.2b
(*.f64 x 2/3)
26.2b
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
Compiler

Compiled 178 to 148 computations (16.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 18 computations (21.7% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1874×add-sqr-sqrt
1830×*-un-lft-identity
1726×add-cube-cbrt
1712×add-cbrt-cube
208×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
122217
2270317
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))))))

simplify64.0ms (0.7%)

Algorithm
egg-herbie
Rules
932×fma-def
916×associate--r+
804×associate-+r+
698×distribute-lft-in
692×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086835
1192835
2712835
32180835
46625835
Stop Event
node limit
Counts
39 → 42
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 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 -4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3) 1/3)
(pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(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 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (*.f64 1/18 (pow.f64 x 3)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 0 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) -4/3))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 -4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 2)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 3)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3) 1/3)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(pow.f64 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))) -1)
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3) 3))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)) 1))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (tan.f64 (*.f64 x 1/2)) -4/3)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1336×add-sqr-sqrt
1300×*-un-lft-identity
1230×add-cube-cbrt
1220×add-cbrt-cube
1206×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11497
217307
Stop Event
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(/.f64 1 (/.f64 3/8 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 8/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 8/3)) (sqrt.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 8/3)) (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2) (cbrt.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -3/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 3/8 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 8/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 8/3)))))))

simplify47.0ms (0.5%)

Algorithm
egg-herbie
Rules
1386×associate-*r*
1334×associate-/l*
1292×associate-*r/
1168×associate-*l*
942×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069314
1159314
2586308
33779308
Stop Event
node limit
Counts
38 → 30
Calls
Call 1
Inputs
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(-.f64 (+.f64 1 (*.f64 x 8/3)) 1)
(*.f64 1 (*.f64 x 8/3))
(*.f64 x 8/3)
(*.f64 (*.f64 x 8/3) 1)
(*.f64 (sqrt.f64 (*.f64 x 8/3)) (sqrt.f64 (*.f64 x 8/3)))
(*.f64 (cbrt.f64 (*.f64 x 8/3)) (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2) (cbrt.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)
(*.f64 8/3 (pow.f64 (/.f64 1 x) -1))
(*.f64 -1 (/.f64 1 (/.f64 -3/8 x)))
(*.f64 (*.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -8/3 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 3/8 x)) -1))
(pow.f64 (/.f64 3/8 x) -1)
(pow.f64 (*.f64 x 8/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 8/3) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 8/3) 2))
(log.f64 (exp.f64 (*.f64 x 8/3)))
(cbrt.f64 (pow.f64 (*.f64 x 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 8/3)))
(exp.f64 (log.f64 (*.f64 x 8/3)))
(log1p.f64 (expm1.f64 (*.f64 x 8/3)))
Outputs
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 x)
(-.f64 (+.f64 1 (*.f64 x 8/3)) 1)
(*.f64 8/3 x)
(*.f64 1 (*.f64 x 8/3))
(*.f64 8/3 x)
(*.f64 x 8/3)
(*.f64 8/3 x)
(*.f64 (*.f64 x 8/3) 1)
(*.f64 8/3 x)
(*.f64 (sqrt.f64 (*.f64 x 8/3)) (sqrt.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)
(*.f64 (cbrt.f64 (*.f64 x 8/3)) (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2))
(*.f64 8/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 8/3)) 2) (cbrt.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)
(*.f64 8/3 x)
(*.f64 8/3 (pow.f64 (/.f64 1 x) -1))
(*.f64 8/3 x)
(*.f64 -1 (/.f64 1 (/.f64 -3/8 x)))
(*.f64 8/3 x)
(*.f64 (*.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 8/3 x)
(*.f64 (*.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 8/3 x)
(*.f64 -8/3 (neg.f64 x))
(*.f64 8/3 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1) (pow.f64 (sqrt.f64 (/.f64 3/8 x)) -1))
(pow.f64 (sqrt.f64 (/.f64 3/8 x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 9/64 (*.f64 x x))) -1) (pow.f64 (cbrt.f64 (/.f64 3/8 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 9/64 (*.f64 x x)))) (/.f64 1 (cbrt.f64 (/.f64 3/8 x))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 9/64 x) x))) (cbrt.f64 (/.f64 3/8 x)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 3/8 x))) (cbrt.f64 (/.f64 9/64 (*.f64 x x))))
(pow.f64 (/.f64 3/8 x) -1)
(*.f64 8/3 x)
(pow.f64 (*.f64 x 8/3) 1)
(*.f64 8/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 8/3)) 2)
(*.f64 8/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 8/3)) 3)
(*.f64 8/3 x)
(pow.f64 (pow.f64 (*.f64 x 8/3) 3) 1/3)
(*.f64 8/3 x)
(sqrt.f64 (pow.f64 (*.f64 x 8/3) 2))
(*.f64 8/3 x)
(log.f64 (exp.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 8/3) 3))
(*.f64 8/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)
(exp.f64 (log.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 8/3)))
(*.f64 8/3 x)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)
0.2b
(*.f64 1/18 (*.f64 x x))
0.2b
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
0.0ms
x
@0
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
0.0ms
x
@inf
(*.f64 1/18 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
0.0ms
x
@0
(*.f64 1/18 (*.f64 x x))

rewrite85.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
900×*-commutative
706×unswap-sqr
558×swap-sqr
540×associate-*r/
424×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
120249
2258249
Stop Event
node limit
Counts
3 → 159
Calls
Call 1
Inputs
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
(*.f64 1/18 (*.f64 x x))
(+.f64 (*.f64 1/18 (*.f64 x x)) 2/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 1/18 (*.f64 x x) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/18)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/18)))) (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/18))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/18)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/18)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/18) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) 1/5832))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/18))))))))
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simplify110.0ms (1.2%)

Algorithm
egg-herbie
Rules
1492×associate-/r*
1312×associate-*r/
936×associate-*l/
698×associate-/r/
654×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04218141
111147431
242087425
Stop Event
node limit
Counts
195 → 270
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 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
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(/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))))
(/.f64 (sqrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (sqrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))) (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))))
(/.f64 (+.f64 4/9 (*.f64 -1/324 (pow.f64 x 4))) (+.f64 2/3 (*.f64 (*.f64 x x) -1/18)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 2) -64/729) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (+.f64 (*.f64 (pow.f64 x 6) 1/5832) -8/27)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/104976) -16/81) (*.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9)))
(/.f64 (+.f64 512/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 3)) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 2) 64/729) (*.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/324) 3) -64/729) (*.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (+.f64 (*.f64 (pow.f64 x 8) 1/104976) (+.f64 16/81 (*.f64 (pow.f64 x 4) 1/729)))))
(/.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/324)) 4/9) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3))
(/.f64 (+.f64 -8/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/5832))) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (*.f64 1 (+.f64 4/9 (*.f64 -1/324 (pow.f64 x 4)))) (+.f64 2/3 (*.f64 (*.f64 x x) -1/18)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) (sqrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2) (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (*.f64 (+.f64 4/9 (*.f64 -1/324 (pow.f64 x 4))) 1) (+.f64 2/3 (*.f64 (*.f64 x x) -1/18)))
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/324)) 4/9) 1) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3))
(/.f64 (*.f64 (+.f64 -8/27 (neg.f64 (*.f64 (pow.f64 x 6) 1/5832))) 1) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9)) (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2)) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2)) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 8) 1/104976) -16/81) (/.f64 1 (fma.f64 1/18 (*.f64 x x) -2/3))) (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) 1/324) 3) -64/729) (/.f64 1 (fma.f64 1/18 (*.f64 x x) -2/3))) (+.f64 (*.f64 (pow.f64 x 8) 1/104976) (+.f64 16/81 (*.f64 (pow.f64 x 4) 1/729))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 2) -64/729) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) (+.f64 (*.f64 (pow.f64 x 6) 1/5832) -8/27))
(/.f64 (*.f64 (+.f64 512/19683 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 3)) (/.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) (-.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 6) 1/5832) 2) 64/729) (*.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) 1) (fma.f64 1/18 (*.f64 x x) -2/3))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3))) (sqrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (*.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))) (cbrt.f64 (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) 1) (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))
(/.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))) (sqrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (*.f64 (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))) (cbrt.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) (exp.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) 1/324)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) 1/324))) (*.f64 (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)) (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) 1/324)) (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3))))
(pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 3)
(pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3)))
(neg.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))))
(sqrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2))
(log.f64 (exp.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3))))
(cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(exp.f64 (log.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(log1p.f64 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 (*.f64 x x) 1/18 2/3)
(fma.f64 1 (*.f64 x (*.f64 x 1/18)) 2/3)
(fma.f64 (*.f64 x (sqrt.f64 1/18)) (*.f64 x (sqrt.f64 1/18)) 2/3)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/324)) (cbrt.f64 (*.f64 x (*.f64 x 1/18))) 2/3)
(fma.f64 (*.f64 x 1/18) x 2/3)
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(*.f64 1/18 (pow.f64 x 3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
2/3
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(*.f64 1/18 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/18))
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 2/3 (*.f64 1/18 (pow.f64 x 2)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(+.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3)))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) -1)
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))) 1)
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(/.f64 x (/.f64 1 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(/.f64 1 (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9))))
(/.f64 x (/.f64 (fma.f64 1/18 (*.f64 x x) -2/3) (fma.f64 (pow.f64 x 4) 1/324 -4/9)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 4) 1/324 -4/9) (fma.f64 x (*.f64 x 1/18) -2/3)))
(/.f64 1 (/.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)) (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)))))
(/.f64 (*.f64 x (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832))) (+.f64 (fma.f64 (pow.f64 x 4) 1/324 4/9) (*.f64 (*.f64 x x) -1/27)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 6) 1/5832 8/27)) (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 (*.f64 x x) -1/27 4/9)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/5832 8/27) (/.f64 (fma.f64 (pow.f64 x 4) 1/324 (fma.f64 x (*.f64 x -1/27) 4/9)) x))
(/.f64 1 (/.f64 (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3)) (-.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x x) 4/9))))
(/.f64 (-.f64 (*.f64 1/324 (pow.f64 x 6)) (*.f64 x (*.f64 x 4/9))) (*.f64 x (fma.f64 1/18 (*.f64 x x) -2/3)))
(/.f64 (fma.f64 1/324 (pow.f64 x 6) (*.f64 (*.f64 x x) -4/9)) (*.f64 x (fma.f64 x (*.f64 x 1/18) -2/3)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/324) (*.f64 (*.f64 x 2/3) (-.f64 (*.f64 x 2/3) (*.f64 1/18 (pow.f64 x 3))))) (+.f64 (pow.f64 (*.f64 1/18 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x 2/3) 3))))
(/.f64 (+.f64 (*.f64 1/5832 (pow.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 x 3) 8/27)) (fma.f64 (pow.f64 x 6) 1/324 (*.f64 x (*.f64 2/3 (+.f64 (*.f64 2/3 x) (*.f64 -1/18 (pow.f64 x 3)))))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/18 (*.f64 x x) -2/3)) 1/324) (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/18 (*.f64 x x) -2/3)) 1/324)) (*.f64 (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)) (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3)))) (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (fma.f64 1/18 (*.f64 x x) -2/3)) 1/324) (/.f64 4/9 (fma.f64 1/18 (*.f64 x x) -2/3))))
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 x (*.f64 x 1/18) -2/3) 1/324)) (/.f64 (fma.f64 x (*.f64 x 1/18) -2/3) 1/324)) (/.f64 (/.f64 16/81 (fma.f64 x (*.f64 x 1/18) -2/3)) (fma.f64 x (*.f64 x 1/18) -2/3))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/18) -2/3)) 1/324 (/.f64 4/9 (fma.f64 x (*.f64 x 1/18) -2/3))))
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x 8) (fma.f64 x (*.f64 x 1/18) -2/3)) (fma.f64 x (*.f64 x 1/18) -2/3)) 1/104976) (/.f64 (/.f64 -16/81 (fma.f64 x (*.f64 x 1/18) -2/3)) (fma.f64 x (*.f64 x 1/18) -2/3))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/18) -2/3)) 1/324 (/.f64 4/9 (fma.f64 x (*.f64 x 1/18) -2/3))))
(pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 1)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(pow.f64 (sqrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 2)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(pow.f64 (cbrt.f64 (fma.f64 1/18 (*.f64 x x) 2/3)) 3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(pow.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3) 1/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) -4/9) (+.f64 (*.f64 (*.f64 x x) -1/18) 2/3)))
(/.f64 (+.f64 4/9 (*.f64 (pow.f64 x 4) -1/324)) (fma.f64 (*.f64 x x) -1/18 2/3))
(/.f64 (fma.f64 (pow.f64 x 4) -1/324 4/9) (fma.f64 x (*.f64 x -1/18) 2/3))
(neg.f64 (/.f64 (+.f64 8/27 (*.f64 (pow.f64 x 6) 1/5832)) (neg.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 4) 1/324) 4/9) (*.f64 (*.f64 x x) -1/27)))))
(/.f64 (+.f64 -8/27 (*.f64 (pow.f64 x 6) -1/5832)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 1/324 4/9) (*.f64 (*.f64 x x) -1/27))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/5832 -8/27) (-.f64 (*.f64 (pow.f64 x 4) -1/324) (fma.f64 (*.f64 x x) -1/27 4/9)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/5832 -8/27) (-.f64 (*.f64 (pow.f64 x 4) -1/324) (fma.f64 x (*.f64 x -1/27) 4/9)))
(sqrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 2))
(fabs.f64 (fma.f64 1/18 (*.f64 x x) 2/3))
(fabs.f64 (fma.f64 x (*.f64 x 1/18) 2/3))
(log.f64 (exp.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3))))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(cbrt.f64 (pow.f64 (fma.f64 1/18 (*.f64 x x) 2/3) 3))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(expm1.f64 (log1p.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(exp.f64 (log.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(log1p.f64 (expm1.f64 (fma.f64 1/18 (*.f64 x x) 2/3)))
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(fma.f64 (*.f64 x x) 1/18 2/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(fma.f64 1 (*.f64 x (*.f64 x 1/18)) 2/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)
(fma.f64 (*.f64 x (sqrt.f64 1/18)) (*.f64 x (sqrt.f64 1/18)) 2/3)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 1/18)) 2) 2/3)
(+.f64 2/3 (pow.f64 (*.f64 x (sqrt.f64 1/18)) 2))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/324)) (cbrt.f64 (*.f64 x (*.f64 x 1/18))) 2/3)
(fma.f64 (*.f64 x 1/18) x 2/3)
(fma.f64 1/18 (*.f64 x x) 2/3)
(fma.f64 x (*.f64 x 1/18) 2/3)

localize16.0ms (0.2%)

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)))
0.3b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
Compiler

Compiled 26 to 21 computations (19.2% saved)

series8.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite91.0ms (1%)

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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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))))

simplify96.0ms (1%)

Algorithm
egg-herbie
Rules
1754×associate-/r*
1674×associate-/l*
1278×unswap-sqr
780×associate-/r/
628×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03926616
18995974
227715974
Stop Event
node limit
Counts
180 → 260
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 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1) 4/3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 -3/4)) (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 3/4) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (pow.f64 3/4 -1/2) (pow.f64 3/4 -1/2)) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))
(*.f64 (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)))
(*.f64 (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)) (*.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/6))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2) -1/4) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2) -1/4))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 -3/4 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))
(/.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))
(/.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 -3/4 (neg.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 1 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 1 (*.f64 3/4 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 -3/4 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (/.f64 (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))) (/.f64 -3/4 (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 3/4 (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)))
(/.f64 -4/3 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 -3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 -3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 -3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1/4)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1)))
(/.f64 (pow.f64 3/4 -1/2) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1/2)))
(/.f64 (pow.f64 1 -1/2) (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1/2) (/.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 -4/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 1 (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 3/4)) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 4/3 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(*.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4)
(*.f64 -3/4 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -3/4)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1)
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.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 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 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 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
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(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 3/4) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (fabs.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 4/3 (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 4/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 3/4)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 3/4) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 -3/4 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -3/4)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 3/4 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/4 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/4 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 3/4 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
0.3b
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 32 to 25 computations (21.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
940×*-commutative
708×associate-*r/
636×unswap-sqr
584×swap-sqr
512×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
122650
2264850
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
Outputs
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simplify83.0ms (0.9%)

Algorithm
egg-herbie
Rules
1528×unswap-sqr
978×distribute-rgt-in
974×distribute-lft-in
646×associate-/l*
364×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03345327
18005175
233445165
Stop Event
node limit
Counts
143 → 182
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))))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3)))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 -4/3 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (*.f64 4/3 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) 3/4)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -1) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))
(/.f64 (*.f64 1 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 1 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) -1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) 1) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))) (sqrt.f64 -4/3)) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) 1) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 -4/3)) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 -1 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) 1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 1) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) 1) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (*.f64 (sqrt.f64 4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sqrt.f64 -4/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) 1) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) -1) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 1) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) 1) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1))
(pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(+.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3)
(*.f64 -4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 -1 (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -4/3)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2))
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1)
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))
(log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.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 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(fma.f64 1/6 (*.f64 x x) 4/3)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (*.f64 5/288 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (fma.f64 5/288 (pow.f64 x 4) (*.f64 61/34560 (pow.f64 x 6))))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (cos.f64 (*.f64 1/2 x)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) -1)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (/.f64 (cos.f64 (*.f64 x 1/2)) (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (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))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (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))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 -4/3 (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
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(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (fabs.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) 1) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (sin.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(/.f64 4/3 (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (sin.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(/.f64 4/3 (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1))
(/.f64 (*.f64 (+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1) (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))) (+.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))) 1))
(pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 2)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))) 3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(+.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) -1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 1 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) 4/3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 -4/3 (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(/.f64 (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 4/3 (/.f64 1 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(/.f64 (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(*.f64 -1 (/.f64 1 (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) -4/3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3/2))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/6))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2) (pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1/2))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4) -1)
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 (*.f64 x 1/2)) -2)))
(fabs.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) 3))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(/.f64 4/3 (cos.f64 (*.f64 x 1/2)))

eval382.0ms (4.2%)

Compiler

Compiled 16494 to 13382 computations (18.9% saved)

prune159.0ms (1.7%)

Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New8555860
Fresh202
Picked011
Done279
Total85913872
Error
0b
Counts
872 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
35.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
42.5b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
26.0b
(/.f64 (*.f64 1/4 x) 3/8)
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
0.2b
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
0.2b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
0.4b
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
0.3b
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
0.4b
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
26.8b
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
26.2b
(*.f64 x 2/3)
26.2b
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
Compiler

Compiled 117 to 96 computations (17.9% saved)

regimes36.0ms (0.4%)

Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(/.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 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 3/8)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2)))) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/4 (/.f64 1 (cos.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 8/3 (/.f64 1 (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 4/3)
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.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 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

2 calls:

14.0ms
x
13.0ms
(/.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 347 to 256 computations (26.2% saved)

regimes6.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Outputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.9b remaining (-3.5%)

Threshold costs -0.9b (-3.5%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 1/4 (/.f64 1 (/.f64 3/8 x)))
(*.f64 x (+.f64 (*.f64 1/18 (*.f64 x x)) 2/3))
Outputs
(/.f64 (*.f64 1/4 x) 3/8)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
26.0b1x
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02054
12454
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 x 2/3)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (*.f64 1/4 x) 3/8)
(/.f64 (*.f64 x 1/4) 3/8)
(*.f64 x 2/3)
Compiler

Compiled 24 to 20 computations (16.7% saved)

soundness350.0ms (3.8%)

Algorithm
egg-herbie
Rules
1576×associate-/l*
1576×associate-/l*
1576×associate-/l*
1522×associate-/l*
1054×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
070011172
117729948
277309948
070011172
117729948
277309948
01543
12243
23343
34543
45643
56043
02513322
16303184
222973180
070011172
117729948
277309948
Stop Event
node limit
node limit
saturated
node limit
node limit
saturated
Compiler

Compiled 361 to 263 computations (27.1% saved)

end26.0ms (0.3%)

Compiler

Compiled 21 to 17 computations (19% saved)

Profiling

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