Details

Time bar (total: 9.3s)

analyze492.0ms (5.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
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)

sample3.2s (34.5%)

Results
1.5s2078×body1024valid
1.2s5192×body256valid
504.0ms980×body512valid
6.0ms6×body2048valid
Bogosity

preprocess8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 (/.f64 (*.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
1×egg-herbie
Rules
24×*-commutative
16×associate-/l*
16×associate-/r/
6×associate-*r*
6×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
Stop Event
1×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
15.5b
Counts
5 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶15.7b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶15.7b
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶15.7b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
Compiler

Compiled 47 to 38 computations (19.1% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
✓15.4b
(/.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))
0.0ms
x
@0
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
0.0ms
x
@inf
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
0.0ms
x
@-inf
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)

rewrite98.0ms (1.1%)

Algorithm
1×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
1×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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(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)))))))))

simplify143.0ms (1.5%)

Algorithm
1×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
1×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
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓15.5b
(/.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
@inf
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
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
@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))

rewrite69.0ms (0.7%)

Algorithm
1×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
1×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)))))))

simplify66.0ms (0.7%)

Algorithm
1×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
1×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)))

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
✓0.4b
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
✓15.5b
(/.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)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.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 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))

rewrite72.0ms (0.8%)

Algorithm
1×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
1×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 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simplify70.0ms (0.7%)

Algorithm
1×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
1×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 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4)
(*.f64 4/3 (-.f64 1 (cos.f64 (*.f64 x 1))))
(-.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))

eval279.0ms (3%)

Compiler

Compiled 14244 to 9786 computations (31.3% saved)

prune143.0ms (1.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New78016796
Fresh000
Picked101
Done202
Total78316799
Error
0b
Counts
799 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
15.6b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
▶15.6b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
▶30.3b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
30.4b
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
30.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
▶30.4b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
15.7b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
30.4b
(/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))
24.0b
(/.f64 (*.f64 8/3 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x))
46.7b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
30.3b
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
31.8b
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
15.7b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
▶0.3b
(*.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)
▶31.3b
(*.f64 x 2/3)
Compiler

Compiled 352 to 288 computations (18.2% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite98.0ms (1.1%)

Algorithm
1×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
1×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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simplify126.0ms (1.3%)

Algorithm
1×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
1×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)

rewrite47.0ms (0.5%)

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

simplify61.0ms (0.6%)

Algorithm
1×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
1×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)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓0.2b
(*.f64 -4/3 (cos.f64 x))
✓1.4b
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series4.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1028×*-commutative
1012×associate-*r/
760×associate-*l/
758×associate-/r*
600×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
123347
2294247
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(*.f64 -4/3 (cos.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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simplify103.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
708×distribute-lft-neg-out
686×associate-*r*
666×distribute-rgt-neg-out
656×distribute-lft-neg-in
602×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04036719
110676139
251445779
Stop Event
1×node limit
Counts
163 → 227
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)))))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(*.f64 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 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1)
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(*.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(*.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))
(*.f64 -1 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(*.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))
(*.f64 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))
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(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1)
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
Outputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(fma.f64 2/3 (*.f64 x x) -4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3)
(+.f64 (fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x))) -4/3)
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 6)))) -4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(*.f64 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 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(-.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) 16/9))
(*.f64 -1 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(*.f64 (/.f64 1 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)))) (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) 16/9))
(*.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) -16/9))))
(/.f64 (fma.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 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 -16/9) 16/9)))
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 16/9 (cos.f64 x) 16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) 16/9 16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9))))
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)) 3))) (+.f64 256/81 (*.f64 (cos.f64 x) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9) -16/9)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9)) 3))) (fma.f64 (cos.f64 x) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) -16/9)) 256/81))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (cbrt.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 1 (/.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (/.f64 1 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))))
(-.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(-.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (*.f64 (/.f64 16/9 (fma.f64 4/3 (cos.f64 x) 4/3)) (pow.f64 (cos.f64 x) 2)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))))
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(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.f64 -1 (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 -1 (sin.f64 x)) (neg.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(/.f64 (*.f64 (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (sin.f64 x)) (+.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) -16/9)))) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))
(*.f64 (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 -16/9) 16/9) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (*.f64 (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (-.f64 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9))) (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 16/9 (cos.f64 x) 16/9))))))
(*.f64 (-.f64 16/9 (*.f64 (cos.f64 x) (fma.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 256/81 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) 16/9 16/9))))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(/.f64 (*.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 256/81 (*.f64 (cos.f64 x) (*.f64 (fma.f64 16/9 (cos.f64 x) 16/9) (fma.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9) -16/9))))) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)) 3)))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) (*.f64 (fma.f64 (cos.f64 x) 16/9 16/9) (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9) -16/9)) 256/81) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (sin.f64 x))) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9)) 3)))
(pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))

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))) 3/8)
✓0.2b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓1.3b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite82.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1348×associate-/r*
1268×associate-/l*
666×associate-/l/
554×distribute-rgt-in
530×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
128461
2362161
Stop Event
1×node limit
Counts
3 → 150
Calls
Call 1
Inputs
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 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((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))))

simplify100.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
752×associate-*r*
654×associate-*l*
606×distribute-lft-neg-in
584×+-commutative
544×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04246156
111295318
258625300
Stop Event
1×node limit
Counts
178 → 245
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)
(*.f64 1 (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)))
(*.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))
(*.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)))
(*.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 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 -1/4 (cos.f64 x)) 1/4))))
(*.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 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 -1/4 (cos.f64 x)) 1/4))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
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(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 8/3))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(*.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)) 8/3))
(*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)
(*.f64 -8/3 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 1 (/.f64 3/8 (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 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 3/8) (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))) 8/3) (-.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))) 8/3) (-.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)) 8/3) (-.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)) 8/3) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (*.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) 8/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3) 1/3)
(pow.f64 (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -3/8))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2) 64/9))
(log.f64 (exp.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
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 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) 2/3)
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) 2/3))
(fma.f64 (pow.f64 x 4) -1/18 (*.f64 (*.f64 x x) 2/3))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/540)))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (*.f64 x x) 2/3 (*.f64 (pow.f64 x 6) 1/540)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 (pow.f64 x 6) 1/540))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (*.f64 x x) 2/3 (fma.f64 (pow.f64 x 6) 1/540 (*.f64 (pow.f64 x 8) -1/30240))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.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 (*.f64 -1/4 (cos.f64 x)) 1/4))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/4 (cos.f64 x) -1/4)))
(/.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 (+.f64 (cos.f64 x) 1) (*.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 (*.f64 -1/4 (cos.f64 x)) 1/4))) (+.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)) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (fma.f64 -1/4 (cos.f64 x) -1/4)))
(/.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 (+.f64 (cos.f64 x) 1) (*.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 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 -1/2 (*.f64 (cos.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.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 (*.f64 -1/2 (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 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x))) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))))) (+.f64 1/4 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))))
(*.f64 (/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (*.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)))))))
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(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
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(pow.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3) 3) 1/3)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(neg.f64 (/.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x)) 2))
(fabs.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(log.f64 (exp.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3))))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3) 3))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)) 1))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(+.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(+.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3) 4/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))) 1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 1 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.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)) 8/3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 -8/3 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 1 (/.f64 3/8 (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 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 3/8) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) 8/3) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) 8/3) (-.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 -1/2 (*.f64 (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)) 8/3)))
(*.f64 (fma.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2) 1/4) (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (/.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) 8/3)))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 8/3) (-.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 8/3 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 (cos.f64 x) -1/4))) (-.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 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (/.f64 (*.f64 8/3 (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 (+.f64 1/4 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))) (/.f64 (*.f64 8/3 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) (+.f64 1/16 (*.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x))) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) -1/4 -1/4))))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) 8/3) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 1/16 (-.f64 (*.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 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (neg.f64 (*.f64 (cos.f64 x) -1/4))) 1/4))) (/.f64 (*.f64 8/3 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.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 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.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) 1/16)) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3)) 8/3))
(/.f64 (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x))) (+.f64 -1/4 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x)))) 1/16)) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 1/4 (cos.f64 x))) 3)) 8/3))
(pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 2)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3) 1/3)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(pow.f64 (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -3/8))
(/.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -3/8)
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) -3/8)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2) 64/9))
(sqrt.f64 (pow.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 2))
(log.f64 (exp.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 1))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(fma.f64 -4/3 (cos.f64 x) 4/3)

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)
✓0.3b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓15.4b
(/.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)

rewrite76.0ms (0.8%)

Algorithm
1×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
1×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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simplify74.0ms (0.8%)

Algorithm
1×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
1×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))
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(/.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)))

eval695.0ms (7.4%)

Compiler

Compiled 22074 to 15543 computations (29.6% saved)

prune212.0ms (2.3%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New105161057
Fresh4711
Picked011
Done134
Total1056171073
Error
0b
Counts
1073 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
32.4b
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
✓15.6b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
✓30.3b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
30.4b
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
▶30.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓30.4b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
30.4b
(/.f64 (*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (sin.f64 x))
▶15.7b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
▶31.1b
(/.f64 (*.f64 1/4 x) 3/8)
30.3b
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
31.8b
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
15.7b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
15.6b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (/.f64 1 (sin.f64 x)))
▶30.3b
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
31.5b
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
▶0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓31.3b
(*.f64 x 2/3)
Compiler

Compiled 340 to 283 computations (16.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 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)

rewrite52.0ms (0.6%)

Algorithm
1×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
0917
118917
2215217
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
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)))))))

simplify57.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
974×distribute-lft-in
916×distribute-rgt-in
888×distribute-lft-out
838×*-commutative
838×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069663
1159663
2416663
32316663
46178663
Stop Event
1×node limit
Counts
27 → 32
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 (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)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (*.f64 x 1/18) 2/3) (*.f64 1/180 (pow.f64 x 5)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3)))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/18) 2/3) (*.f64 17/30240 (pow.f64 x 7))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (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 (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 (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)))

localize5.0ms (0.1%)

Compiler

Compiled 12 to 9 computations (25% saved)

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))
✓1.3b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 25 to 14 computations (44% saved)

series6.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm
1×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
1×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 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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)))))))

simplify85.0ms (0.9%)

Algorithm
1×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
1×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))))
(/.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 (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 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (hypot.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3/2)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (+.f64 1 (cos.f64 x))) (hypot.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3/2))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
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(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.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)))))
(/.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))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(fabs.f64 (-.f64 1 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (cos.f64 x)))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(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 1 (cos.f64 x))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x))))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(+.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 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (/.f64 (cos.f64 x) 3/4) (sin.f64 x)))
(-.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 1 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 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 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(/.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 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 4/3 (tan.f64 (/.f64 x 2)))
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 2)))
(*.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 4/3 (tan.f64 (/.f64 x 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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 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)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 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))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 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)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2))
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(/.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(neg.f64 (/.f64 (tan.f64 (/.f64 x 2)) -3/4))
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 2))
(sqrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))) 2))
(fabs.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2))))
(log.f64 (exp.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/4))) 1)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (*.f64 (sin.f64 x) 3/4) 1)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)
(*.f64 (sin.f64 x) 3/4)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 3)
(*.f64 (sin.f64 x) 3/4)
(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)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (sin.f64 x))
✓0.2b
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
✓0.2b
(/.f64 (/.f64 1 (sin.f64 x)) -3/8)
✓1.3b
(-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 42 to 27 computations (35.7% saved)

series3.0ms (0%)

Counts
4 → 40
Calls

12 calls:

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

rewrite103.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
658×associate-/r*
648×distribute-rgt-in
604×distribute-lft-in
498×associate-/l*
304×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01484
130472
2378672
Stop Event
1×node limit
Counts
4 → 259
Calls
Call 1
Inputs
(-.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 (/.f64 1 (sin.f64 x)) -3/8)
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 1 (sin.f64 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 -1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))) (sqrt.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (/.f64 1 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))))))

simplify118.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1632×associate-*l*
1550×associate-/l*
1086×associate-/r*
782×*-commutative
594×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069413929
1196112615
Stop Event
1×node limit
Counts
299 → 417
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 -1/1440 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4))))
(+.f64 (*.f64 1/80640 (pow.f64 x 8)) (+.f64 (*.f64 -1/1440 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4)))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 -8/3 x)
(-.f64 (*.f64 -4/9 x) (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -7/135 (pow.f64 x 3)) (*.f64 -4/9 x)) (*.f64 8/3 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -7/135 (pow.f64 x 3)) (+.f64 (*.f64 -4/9 x) (*.f64 -31/5670 (pow.f64 x 5)))) (*.f64 8/3 (/.f64 1 x)))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))
(+.f64 (*.f64 (cos.f64 x) 1/2) -1/2)
(+.f64 (-.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(*.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) 1)
(*.f64 1 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)))
(*.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) (sqrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))))
(*.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) 2) (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))))
(*.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (/.f64 1 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(*.f64 (/.f64 1 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))
(*.f64 (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 1/4 (cos.f64 x)) 1/4))))
(*.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 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 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3))) (+.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 (neg.f64 (cos.f64 x)) 1) -1/2)
(/.f64 1 (/.f64 1 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))))
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))))
(/.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))) (/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))))
(/.f64 (+.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (*.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))
(/.f64 (+.f64 1/16 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4) (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))) (*.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) 1/4))))
(/.f64 (+.f64 -1/8 (pow.f64 (*.f64 (cos.f64 x) 1/2) 3)) (+.f64 1/4 (*.f64 (*.f64 (cos.f64 x) 1/2) (-.f64 (*.f64 (cos.f64 x) 1/2) -1/2))))
(/.f64 (-.f64 -1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3)) (*.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))))
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(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)
(neg.f64 (/.f64 -1 (sin.f64 x)))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
Outputs
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4)))
(fma.f64 -1/4 (*.f64 x x) (*.f64 1/48 (pow.f64 x 4)))
(+.f64 (*.f64 -1/1440 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4))))
(fma.f64 -1/1440 (pow.f64 x 6) (fma.f64 -1/4 (*.f64 x x) (*.f64 1/48 (pow.f64 x 4))))
(+.f64 (*.f64 1/80640 (pow.f64 x 8)) (+.f64 (*.f64 -1/1440 (pow.f64 x 6)) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 4)))))
(fma.f64 1/80640 (pow.f64 x 8) (fma.f64 -1/1440 (pow.f64 x 6) (fma.f64 -1/4 (*.f64 x x) (*.f64 1/48 (pow.f64 x 4)))))
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 -1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(/.f64 -8/3 x)
(-.f64 (*.f64 -4/9 x) (*.f64 8/3 (/.f64 1 x)))
(-.f64 (*.f64 x -4/9) (/.f64 8/3 x))
(fma.f64 -4/9 x (/.f64 -8/3 x))
(-.f64 (+.f64 (*.f64 -7/135 (pow.f64 x 3)) (*.f64 -4/9 x)) (*.f64 8/3 (/.f64 1 x)))
(-.f64 (fma.f64 -7/135 (pow.f64 x 3) (*.f64 x -4/9)) (/.f64 8/3 x))
(+.f64 (fma.f64 -4/9 x (/.f64 -8/3 x)) (*.f64 -7/135 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 -7/135 (pow.f64 x 3)) (+.f64 (*.f64 -4/9 x) (*.f64 -31/5670 (pow.f64 x 5)))) (*.f64 8/3 (/.f64 1 x)))
(-.f64 (fma.f64 -7/135 (pow.f64 x 3) (fma.f64 -4/9 x (*.f64 -31/5670 (pow.f64 x 5)))) (/.f64 8/3 x))
(+.f64 (fma.f64 -7/135 (pow.f64 x 3) (fma.f64 -4/9 x (*.f64 -31/5670 (pow.f64 x 5)))) (/.f64 -8/3 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (sin.f64 x))
(/.f64 -8/3 (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))
(+.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)))
(+.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))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))))
(+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(+.f64 (*.f64 (cos.f64 x) 1/2) -1/2)
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(+.f64 (-.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)
(+.f64 1 (-.f64 -1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))))
(-.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) 1)
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 1 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) (sqrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) 2))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))) 2) (cbrt.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (/.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 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (+.f64 (cos.f64 x) 1)))
(*.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(/.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 1 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x)))) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))
(/.f64 (+.f64 1/4 (*.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 (cos.f64 x) 1)))
(*.f64 (/.f64 1 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))) (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))
(/.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 1/4 (cos.f64 x)) 1/4))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 -1/8 (*.f64 -1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (cos.f64 x) (fma.f64 1/4 (cos.f64 x) -1/4))))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/8 (+.f64 1 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (cos.f64 x) (fma.f64 1/4 (cos.f64 x) -1/4))))
(*.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 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 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (-.f64 1/16 (*.f64 1/16 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (+.f64 1/4 (*.f64 -1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/16 (*.f64 -1/16 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))) (+.f64 1/4 (*.f64 -1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3))) (+.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 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/64 (*.f64 1/64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))) (+.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (fma.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) -1/4))))
(*.f64 (/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/64 (*.f64 1/64 (pow.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) 3)))) (+.f64 1/16 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (fma.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) -1/4)))))
(*.f64 (+.f64 (neg.f64 (cos.f64 x)) 1) -1/2)
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(/.f64 1 (/.f64 1 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2))))
(neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(fma.f64 (cos.f64 x) 1/2 -1/2)
(/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.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 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/2 (+.f64 (cos.f64 x) 1)))
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(/.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))))
(*.f64 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (*.f64 -1/2 (+.f64 (cos.f64 x) 1))))
(/.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (sqrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))) (/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))) (/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (*.f64 -1/2 (+.f64 (cos.f64 x) 1)) (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (cbrt.f64 (+.f64 -1/8 (*.f64 (pow.f64 (cos.f64 x) 3) 1/8)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (cbrt.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)))) (+.f64 1/4 (*.f64 1/4 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 -1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))))
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(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) (sin.f64 x)) -8/3) 3))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) 3) (pow.f64 (/.f64 -8/3 (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) 1/2 -1/2) 3) (/.f64 -512/27 (pow.f64 (sin.f64 x) 3))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -8/3 (sin.f64 x)) 3) (pow.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 x) 1/2 -1/2) 3) (/.f64 -512/27 (pow.f64 (sin.f64 x) 3))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) (sin.f64 x)) -8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) (sin.f64 x)) -8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) (sin.f64 x)) -8/3)) 1))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 -1/2 (*.f64 (cos.f64 x) 1/2)) (sin.f64 x)) -8/3)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 (cos.f64 x) 1/2 -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 x)))) 1)
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 -1 (sin.f64 x)) -1)
(/.f64 1 (sin.f64 x))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 -1 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(pow.f64 (sqrt.f64 (sin.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))) (sqrt.f64 (/.f64 -1 (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x))) (cbrt.f64 (/.f64 -1 (sin.f64 x)))) (neg.f64 (cbrt.f64 (/.f64 -1 (sin.f64 x)))))
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x)))) (pow.f64 (sin.f64 x) -1/2))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)))) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) -1)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))
(neg.f64 (/.f64 -1 (sin.f64 x)))
(/.f64 1 (sin.f64 x))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 x)))))
(/.f64 1 (sin.f64 x))
(cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) -1))
(/.f64 1 (sin.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) 1))
(/.f64 1 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(/.f64 1 (sin.f64 x))

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓0.3b
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
✓15.5b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite70.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01356
126956
2321256
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (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 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 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(2) ((x *.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (/.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)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (/.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 8/3 (/.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 3/8 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.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 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 8/3 (/.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 8/3 (/.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 8/3 (/.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 8/3 (/.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 8/3 (/.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 8/3 (/.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 8/3 (/.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 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1188×associate-*r/
1148×associate-/l*
966×*-commutative
904×distribute-lft-in
874×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02243462
15733366
221513356
Stop Event
1×node limit
Counts
92 → 125
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 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.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 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) 8/3)
(*.f64 (/.f64 (-.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 -1 (sin.f64 x)) (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3))
(*.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 (sin.f64 x) (sqrt.f64 8/3))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 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))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (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 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)
(neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(neg.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(neg.f64 (*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))))
(neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3)
(neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
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(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 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))
(/.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 (/.f64 8/3 (sin.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3)) 2)
(pow.f64 (*.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3) 1/3)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 3/8 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3) (sin.f64 x)))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (*.f64 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (*.f64 1 (/.f64 8/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(sqrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (*.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 1))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (/.f64 8/3 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(pow.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3)
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -1/2) 8/3))
(+.f64 4/3 (*.f64 -8/3 (*.f64 1/2 (cos.f64 x))))

eval335.0ms (3.6%)

Compiler

Compiled 17198 to 11890 computations (30.9% saved)

prune154.0ms (1.6%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New8502852
Fresh628
Picked011
Done268
Total85811869
Error
0b
Counts
869 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.4b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
✓30.3b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓30.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓30.4b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓15.7b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
✓31.1b
(/.f64 (*.f64 1/4 x) 3/8)
▶0.1b
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
▶15.6b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (/.f64 1 (sin.f64 x)))
▶31.5b
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
✓0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓31.3b
(*.f64 x 2/3)
Compiler

Compiled 107 to 89 computations (16.8% saved)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.1b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/8)
Compiler

Compiled 47 to 35 computations (25.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.0ms
x
@-inf
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
0.0ms
x
@0
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))

rewrite94.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1690×associate-*r/
1518×associate-*l/
604×distribute-lft-in
294×add-sqr-sqrt
280×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01441
130137
2370437
Stop Event
1×node limit
Counts
1 → 166
Calls
Call 1
Inputs
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
Outputs
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simplify138.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1010×associate-/l*
992×distribute-rgt-neg-out
830×distribute-lft-neg-out
788×distribute-lft-neg-in
734×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047212550
1132112170
2544312098
Stop Event
1×node limit
Counts
178 → 257
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 -1/320 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/320 (pow.f64 x 5)) (*.f64 1/24192 (pow.f64 x 7)))))
(*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 1/2) 3/8) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))
(+.f64 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 1/2) 3/8))
(+.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 1/2) 3/8)) (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))))
(+.f64 (*.f64 1 (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) (*.f64 1 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 1/2) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))) 1)
(/.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (/.f64 3/8 (sin.f64 (*.f64 1/2 x))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 3/8 (fma.f64 x (*.f64 x 1/16) 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (*.f64 3/8 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (+.f64 3/32 (*.f64 3/8 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (/.f64 1 (fma.f64 x (*.f64 x 1/16) 1/2)))
(/.f64 1 (/.f64 (/.f64 3/8 (fma.f64 x (*.f64 x 1/16) 1/2)) (sin.f64 (*.f64 1/2 x))))
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))))
(/.f64 1 (/.f64 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))))
(/.f64 1 (*.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (/.f64 1 (fma.f64 x (*.f64 x 1/16) 1/2))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (sqrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2))))
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (/.f64 3/8 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (sin.f64 (*.f64 1/2 x)))))
(/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) 2) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (cbrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) 2) (/.f64 3/8 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (sin.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sin.f64 (*.f64 1/2 x))) 3/8)
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (/.f64 (*.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))) 3/8) (sin.f64 (*.f64 1/2 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (/.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (/.f64 1 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))) 3/8) (sin.f64 (*.f64 1/2 x))) 1))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (*.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))) (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (*.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x))) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
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(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sin.f64 (*.f64 1/2 x))) 1) 3/8)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2) 1/4) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))
(/.f64 (*.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (neg.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (neg.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) (fma.f64 x (*.f64 x 1/16) 1/2)) (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 x))) 2) (fma.f64 x (*.f64 x 1/16) 1/2)) (/.f64 3/8 (cbrt.f64 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 -1 (fma.f64 x (*.f64 x 1/16) 1/2)) (neg.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 1/2 x)))) (fma.f64 x (*.f64 x 1/16) 1/2)) 3/8)
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (neg.f64 (sin.f64 (*.f64 1/2 x)))) 1) -3/8)
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) 1) (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))
(/.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) 1) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 1) (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 1) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (fma.f64 x (*.f64 x 1/16) 1/2)) 1) -3/8)
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (sin.f64 (*.f64 1/2 x))) 1) (*.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))) 3/8))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (sin.f64 (*.f64 1/2 x))) 1) (*.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))) 3/8))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) 1) 1) (/.f64 (*.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))) 3/8) (sin.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (neg.f64 (sin.f64 (*.f64 1/2 x)))) 1) (*.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))) -3/8))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) 1) 1) (*.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))) (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (neg.f64 (sin.f64 (*.f64 1/2 x)))) 1) (*.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))) -3/8))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) 1) (*.f64 3/8 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) 1) (+.f64 3/32 (*.f64 3/8 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) 1) (*.f64 -3/8 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 1/2 x))) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) 1) (+.f64 -3/32 (*.f64 -3/8 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sin.f64 (*.f64 1/2 x)))) 1) -3/8)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sin.f64 (*.f64 1/2 x)))) (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))) (sqrt.f64 3/8))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (sin.f64 (*.f64 1/2 x))) 3/8)) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (sin.f64 (*.f64 1/2 x))) 3/8)) (sqrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))) (sqrt.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 x))) (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))) (sqrt.f64 3/8))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 (*.f64 1/2 x)))) (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))) (sqrt.f64 -3/8))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (sin.f64 (*.f64 1/2 x)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) 2)) (cbrt.f64 3/8))
(/.f64 (*.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (sin.f64 (*.f64 1/2 x))) 8/3) (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))
(/.f64 (*.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (sin.f64 (*.f64 1/2 x))) 8/3) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 1/16) 1/2) 3/8) (/.f64 1 (sin.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 1/16) 1/2) 1) (/.f64 3/8 (sin.f64 (*.f64 1/2 x))))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (cbrt.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))) (cbrt.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))))) (cbrt.f64 (/.f64 3/8 (sin.f64 (*.f64 1/2 x)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) 1) (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) (sqrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))) (sqrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2))) (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))) (cbrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) 1) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 1) (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (sqrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16))))) (sqrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 x (*.f64 x 1/16)) 2)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (*.f64 (cbrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))) (cbrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))) (cbrt.f64 (-.f64 1/2 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 1) (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 1/8 (pow.f64 (*.f64 x (*.f64 x 1/16)) 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/16)) (-.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/16) 1/2) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) 3) (pow.f64 (fma.f64 x (*.f64 x 1/16) 1/2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 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 -1/320 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 -1/320 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 -1/320 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 -1/320 (pow.f64 x 5)) (*.f64 1/24192 (pow.f64 x 7)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 -1/320 (pow.f64 x 5) (*.f64 1/24192 (pow.f64 x 7)))))
(*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (*.f64 1/6 (sin.f64 (*.f64 x 1/2))) (*.f64 x x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/6))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(fma.f64 1/6 (*.f64 x (*.f64 x (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 x x) 1/6) 4/3))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(fma.f64 1/6 (*.f64 x (*.f64 x (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 x x) 1/6) 4/3))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(fma.f64 1/6 (*.f64 x (*.f64 x (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 x x) 1/6) 4/3))
(*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2)))
(*.f64 (*.f64 1/6 (sin.f64 (*.f64 x 1/2))) (*.f64 x x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 x x) 1/6))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(fma.f64 1/6 (*.f64 x (*.f64 x (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 x x) 1/6) 4/3))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(fma.f64 1/6 (*.f64 x (*.f64 x (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 x x) 1/6) 4/3))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 x 2))) (*.f64 4/3 (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(fma.f64 1/6 (*.f64 x (*.f64 x (sin.f64 (*.f64 x 1/2)))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (*.f64 (*.f64 x x) 1/6) 4/3))
(+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 1/2) 3/8) (*.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))
(fma.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4))
(fma.f64 x (*.f64 (*.f64 (*.f64 x 1/16) (sin.f64 (*.f64 x 1/2))) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4))
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(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) 3)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2)) 2))
(fabs.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x 1/16) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3)) 3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 1/16) 1/2) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) 3)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3) 3) (pow.f64 (fma.f64 x (*.f64 x 1/16) 1/2) 3)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x 1/16) 1/2) (*.f64 (sin.f64 (*.f64 1/2 x)) 8/3))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (fma.f64 x (*.f64 x 1/16) 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (fma.f64 (*.f64 x x) 1/16 1/2) 3/8))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 1 (sin.f64 x))
✓0.2b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
0.3b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓15.5b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (/.f64 1 (sin.f64 x)))
Compiler

Compiled 46 to 35 computations (23.9% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
972×unswap-sqr
892×associate-/r*
872×associate-/l*
820×swap-sqr
304×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
131656
2370956
Stop Event
1×node limit
Counts
2 → 156
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8)
Outputs
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simplify102.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1424×unswap-sqr
782×associate-/l*
544×times-frac
488×associate-*r*
470×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04447464
111446548
248246548
Stop Event
1×node limit
Counts
180 → 241
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 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 3/8 (sin.f64 x)) (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) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 8/3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 3/8 (*.f64 (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 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 3/8)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 3/8 (sin.f64 x)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) -3/8) -1))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sin.f64 x))
(/.f64 1 (*.f64 (sin.f64 x) (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) -3/8) (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(/.f64 (/.f64 1 (sin.f64 x)) (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 1)
(/.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (pow.f64 (sin.f64 x) -1/2)))
(/.f64 (pow.f64 (sin.f64 x) -1/2) (*.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))))
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 3/8 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 (*.f64 3/8 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 (*.f64 3/8 (sin.f64 x)) (*.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 3/8 (sin.f64 x)) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (*.f64 3/8 (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 8/3)))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 3/8 (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 (*.f64 (sin.f64 x) -3/8) (neg.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (sin.f64 x) (/.f64 3/8 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(/.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (/.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 1 (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 3/8 (+.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 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 -1 (*.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(/.f64 -1 (/.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (/.f64 (*.f64 (sin.f64 x) -3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 -1 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(/.f64 -1 (/.f64 (*.f64 3/8 (sin.f64 x)) (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))))
(/.f64 -1 (*.f64 (sin.f64 x) (/.f64 -3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8))
(/.f64 (+.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) -3/8) 1))
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 -3/8 (/.f64 1 (sin.f64 x))))
(/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 (*.f64 3/8 (sin.f64 x)) -1))
(/.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 (sin.f64 x) -3/8) (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (sqrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 -3/8)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (/.f64 3/8 (sqrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (/.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 (*.f64 (sin.f64 x) -3/8) (cbrt.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))) (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))) (/.f64 3/8 (cbrt.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))) (/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (*.f64 3/8 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.f64 (*.f64 3/8 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (sin.f64 x) -1/2)) (/.f64 3/8 (pow.f64 (sin.f64 x) -1/2)))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2))) (/.f64 3/8 (/.f64 1 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) -3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (/.f64 (*.f64 (sin.f64 x) -3/8) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2)) (/.f64 3/8 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (sin.f64 x) -1/2))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (cbrt.f64 (sin.f64 x)) 8/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(/.f64 (/.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)) -3/8)
(/.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (/.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (pow.f64 (sqrt.f64 (sin.f64 x)) -1)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (/.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) -1)))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) (*.f64 (*.f64 3/8 (sin.f64 x)) 2))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) (sqrt.f64 (*.f64 3/8 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (cbrt.f64 (*.f64 3/8 (sin.f64 x))) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))) (cbrt.f64 (*.f64 3/8 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 3/8 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 3/8 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (/.f64 (/.f64 1 (sin.f64 x)) (*.f64 (cbrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (cbrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.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) (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) (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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (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 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (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 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (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 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (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 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) 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))))
(pow.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 1)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 3/8 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 3) 1/3)
(neg.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) (neg.f64 (sin.f64 x))))
(neg.f64 (*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 1 (sin.f64 x))))
(neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)))
(neg.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (sin.f64 x)))
(neg.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) -3/8)))
(neg.f64 (/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) -3/8))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3) (/.f64 1 (pow.f64 (sin.f64 x) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)) (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)) 8/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 1)
(*.f64 1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (sin.f64 (*.f64 x 1/2)) (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)) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 8/3))
(*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) 1))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) -8/3)
(*.f64 -8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (/.f64 3/8 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3) 1/3)
(pow.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3))
(neg.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) 1))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 8/3 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
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(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) 1))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))) -8/3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 -8/3 (+.f64 -1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (/.f64 3/8 (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (/.f64 3/8 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (*.f64 8/3 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 8/3 (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 3/8))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 3/8 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 (cos.f64 x) -4/3))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))) (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)))))
(pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 1)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) 3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3) 1/3)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(pow.f64 (/.f64 3/8 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(neg.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(neg.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) 1))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))
(log.f64 (exp.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3))))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3) 3))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(exp.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)) 1))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 8/3)))
(+.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓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)

rewrite58.0ms (0.6%)

Algorithm
1×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
1×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)))))))

simplify60.0ms (0.6%)

Algorithm
1×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
1×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)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓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)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm
1×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
1×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
((#(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 -1 (*.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 (*.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 (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 (neg.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 *.f64 4/3 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) 3/4) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 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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)))))))))

simplify90.0ms (1%)

Algorithm
1×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
1×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))))
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(/.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)))

eval428.0ms (4.6%)

Compiler

Compiled 20609 to 16286 computations (21% saved)

prune180.0ms (1.9%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New9576963
Fresh000
Picked101
Done4610
Total96212974
Error
0b
Counts
974 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
31.3b
(pow.f64 (/.f64 3/2 x) -1)
✓30.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓30.4b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓31.1b
(/.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 (cos.f64 (*.f64 x 1/2))))
0.4b
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
0.4b
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
✓31.5b
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
31.9b
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (*.f64 x 4/3))
✓0.3b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓31.3b
(*.f64 x 2/3)
Compiler

Compiled 107 to 88 computations (17.8% saved)

regimes38.0ms (0.4%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (*.f64 x 4/3))
(pow.f64 (/.f64 3/2 x) -1)
(*.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))
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (sin.f64 x))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(/.f64 (*.f64 8/3 (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)) 3/8)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 3/8 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 3/8) (/.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 8/3 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

2 calls:

16.0ms
x
12.0ms
(/.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 356 to 262 computations (26.4% saved)

regimes7.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (*.f64 x 4/3))
(pow.f64 (/.f64 3/2 x) -1)
(*.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%)

Threshold costs -0.9b (-3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 (*.f64 1/4 x) 3/8)
(*.f64 (+.f64 1/2 (*.f64 x (*.f64 x 1/16))) (*.f64 x 4/3))
(pow.f64 (/.f64 3/2 x) -1)
Outputs
(/.f64 (*.f64 1/4 x) 3/8)
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
31.1b1x
Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02054
12454
Stop Event
1×fuel
1×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)

soundness100.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
070011172
117729948
277309948
Stop Event
1×node limit
1×saturated
Compiler

Compiled 135 to 98 computations (27.4% saved)

end26.0ms (0.3%)

Compiler

Compiled 21 to 17 computations (19% saved)

Profiling

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