Details

Time bar (total: 9.2s)

analyze326.0ms (3.5%)

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

sample2.7s (29.7%)

Results
1.2s2051×body1024valid
1.1s5183×body256valid
403.0ms1015×body512valid
7.0ms7×body2048valid
Bogosity

preprocess9.0ms (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)

simplify14.0ms (0.2%)

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)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New134
Fresh011
Picked000
Done000
Total145
Error
13.6b
Counts
5 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.8b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶13.8b
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶13.7b
(*.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)

localize25.0ms (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)))
✓0.4b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
✓13.6b
(/.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)))))))))

simplify147.0ms (1.6%)

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)

localize24.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓13.6b
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
Compiler

Compiled 47 to 35 computations (25.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite72.0ms (0.8%)

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)))))))

simplify67.0ms (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)))

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
✓0.4b
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
✓13.6b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 54 to 43 computations (20.4% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite74.0ms (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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simplify72.0ms (0.8%)

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))

eval280.0ms (3%)

Compiler

Compiled 14244 to 9786 computations (31.3% saved)

prune150.0ms (1.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New77719796
Fresh000
Picked101
Done202
Total78019799
Error
0b
Counts
799 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)
13.9b
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
13.6b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
28.2b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
28.2b
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
28.2b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
28.5b
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x))))
▶28.3b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
▶13.8b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
28.3b
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
47.1b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
▶0.3b
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
13.8b
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
13.7b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
28.2b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
28.2b
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
▶28.2b
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶33.6b
(*.f64 x 2/3)
Compiler

Compiled 458 to 374 computations (18.3% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 43 to 29 computations (32.6% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite105.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1170×associate-/r/
864×swap-sqr
812×unswap-sqr
752×associate-/l/
360×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291
126091
2342787
Stop Event
1×node limit
Counts
3 → 225
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
Outputs
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1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))

simplify135.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1782×distribute-lft-in
922×associate-*r*
868×*-commutative
790×associate-*l*
710×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05549219
115589163
265809163
Stop Event
1×node limit
Counts
261 → 303
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)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8))) (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2) (cbrt.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 8/3)
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 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)) 8/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (*.f64 8/3 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
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(*.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) -8/3)
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(*.f64 (/.f64 1 (/.f64 8/3 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (*.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) 8/3) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 3/8 (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 3/8 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) 1)) (sin.f64 x))
(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3) 1/3)
(pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -1)
(neg.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8))
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8) 1))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 x) (neg.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 -1 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.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 -1 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (neg.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 -1 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))
(fma.f64 -3/32 (*.f64 x x) 3/4)
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x))))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (fma.f64 -3/32 (*.f64 x x) 3/4)))
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(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
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(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
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(fma.f64 (*.f64 x x) -1/4 2)
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 (*.f64 x x) -1/4)))
(fma.f64 (pow.f64 x 4) 1/192 (fma.f64 (*.f64 x x) -1/4 2))
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 6) -1/23040))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 6) -1/23040)) (fma.f64 (pow.f64 x 4) 1/192 2))
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(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (cbrt.f64 (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
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(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))))
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(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))

localize3.0ms (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)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

simplify64.0ms (0.7%)

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))
✓2.0b
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series2.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite83.0ms (0.9%)

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

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)))
(*.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))
(*.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 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 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 (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))))
(*.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))))
(*.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)))
(*.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)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)
(/.f64 1 (/.f64 1 (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))))
(/.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)))
(/.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))))
(/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
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(*.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))))
(/.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 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (/.f64 1 (/.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 (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (/.f64 (+.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))) (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)))))
(*.f64 (/.f64 (sqrt.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)))) (sqrt.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27)) (/.f64 (sqrt.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 (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9))) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (sqrt.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9)) (fma.f64 4/3 (cos.f64 x) 4/3)))
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(/.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))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 -1 (sin.f64 x))
✓0.2b
(*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)
✓0.2b
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
✓1.8b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

series4.0ms (0%)

Counts
4 → 32
Calls

12 calls:

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

rewrite110.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1626×associate-*r/
1260×associate-*l/
616×distribute-lft-in
530×associate-/r*
356×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01590
131672
2374572
Stop Event
1×node limit
Counts
4 → 310
Calls
Call 1
Inputs
(+.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 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3)
(/.f64 -1 (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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simplify144.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1164×associate-*r*
1160×associate-*l*
940×associate-/l/
694×associate-/r*
688×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077416720
1203115652
Stop Event
1×node limit
Counts
342 → 503
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 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2))))
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(*.f64 (/.f64 1 (sin.f64 x)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 -1 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) 2)
(pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) 1/3)
(pow.f64 (neg.f64 (sin.f64 x)) -1)
(neg.f64 (/.f64 1 (sin.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (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 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))))
(*.f64 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))))
(+.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 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 -2/3 (pow.f64 x 2))
(*.f64 (*.f64 x x) -2/3)
(*.f64 x (*.f64 x -2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))
(fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3))
(fma.f64 1/18 (pow.f64 x 4) (*.f64 x (*.f64 x -2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2))))
(fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 (*.f64 x x) -2/3)))
(fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 x (*.f64 x -2/3))))
(+.f64 (*.f64 1/30240 (pow.f64 x 8)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (*.f64 -2/3 (pow.f64 x 2)))))
(fma.f64 1/30240 (pow.f64 x 8) (fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 (*.f64 x x) -2/3))))
(fma.f64 1/30240 (pow.f64 x 8) (fma.f64 1/18 (pow.f64 x 4) (fma.f64 -1/540 (pow.f64 x 6) (*.f64 x (*.f64 x -2/3)))))
(*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 -4/3 (*.f64 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.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 4/3 (cos.f64 x)))
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))
(/.f64 -1 x)
(-.f64 (*.f64 -1/6 x) (/.f64 1 x))
(-.f64 (*.f64 x -1/6) (/.f64 1 x))
(fma.f64 -1/6 x (/.f64 -1 x))
(-.f64 (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x)) (/.f64 1 x))
(-.f64 (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6)) (/.f64 1 x))
(+.f64 (fma.f64 -1/6 x (/.f64 -1 x)) (*.f64 (pow.f64 x 3) -7/360))
(-.f64 (+.f64 (*.f64 -31/15120 (pow.f64 x 5)) (+.f64 (*.f64 -7/360 (pow.f64 x 3)) (*.f64 -1/6 x))) (/.f64 1 x))
(-.f64 (fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6))) (/.f64 1 x))
(+.f64 (fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -7/360 (pow.f64 x 3) (*.f64 x -1/6))) (/.f64 -1 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 (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 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1/4 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 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 1/2 (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 (exp.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 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 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 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.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 (+.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 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 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 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))) (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.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 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(fma.f64 -1/2 (cos.f64 x) 1/2)
(*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 (*.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(*.f64 (/.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (+.f64 1/4 (*.f64 (*.f64 -1/2 (cos.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (+.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 (+.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 (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 (*.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 (+.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 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (cos.f64 x))) (-.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (cos.f64 x))) 1/4))))
(*.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 1 (/.f64 1 (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 1/2 (*.f64 1/2 (cos.f64 x))))
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (pow.f64 (cos.f64 x) 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 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x)))))
(/.f64 (+.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 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (+.f64 1/4 (*.f64 1/4 (cos.f64 x))))) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))))
(*.f64 (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (/.f64 (sqrt.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 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 (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (+.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 (pow.f64 (cos.f64 x) 2) -1/4))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
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(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3)) 2)
(*.f64 (/.f64 (sqrt.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x)))) 1) (sqrt.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x)))))
(pow.f64 (sqrt.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))) 2)
(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)))
(+.f64 -4/3 (*.f64 (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)))
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3) 2))
(sqrt.f64 (pow.f64 (+.f64 -4/3 (*.f64 4/3 (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) 2))
(log.f64 (pow.f64 (exp.f64 -8/3) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (log.f64 (exp.f64 -8/3)))
(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)))
(+.f64 -4/3 (*.f64 (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)))
(+.f64 -4/3 (*.f64 (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)))
(+.f64 -4/3 (*.f64 (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)))
(+.f64 -4/3 (*.f64 (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)))
(+.f64 -4/3 (*.f64 (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)))
(+.f64 -4/3 (*.f64 (cos.f64 x) 4/3))
(-.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 1 (/.f64 -1 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) (sqrt.f64 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2))
(/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 2) (/.f64 -1 (cbrt.f64 (sin.f64 x))))
(/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(*.f64 (/.f64 1 (sin.f64 x)) -1)
(/.f64 -1 (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 -1 (sqrt.f64 (sin.f64 x))))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 -1 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 -1 (sin.f64 x)) 1)
(/.f64 -1 (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 -1 (sin.f64 x))) 2)
(/.f64 -1 (sin.f64 x))
(pow.f64 (/.f64 -1 (cbrt.f64 (sin.f64 x))) 3)
(/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(pow.f64 (pow.f64 (/.f64 -1 (sin.f64 x)) 3) 1/3)
(/.f64 -1 (sin.f64 x))
(pow.f64 (neg.f64 (sin.f64 x)) -1)
(/.f64 -1 (sin.f64 x))
(neg.f64 (/.f64 1 (sin.f64 x)))
(/.f64 -1 (sin.f64 x))
(sqrt.f64 (/.f64 1 (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 (pow.f64 (/.f64 -1 (sin.f64 x)) 3))
(/.f64 -1 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 -1 (sin.f64 x))))
(/.f64 -1 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (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
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
✓0.3b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓13.6b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite76.0ms (0.8%)

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

simplify76.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
912×unswap-sqr
848×times-frac
798×associate-/r*
712×associate-/l/
536×associate-/r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02944268
17093914
226733800
Stop Event
1×node limit
Counts
136 → 168
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(*.f64 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 1/2 (*.f64 -1/2 (cos.f64 x)))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(*.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 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(/.f64 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (-.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 (log.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(/.f64 (*.f64 8/3 (-.f64 (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))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 x (*.f64 x 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(*.f64 x (*.f64 2/3 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 (pow.f64 x 4) -1/18))
(+.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 2/3 (*.f64 x x) (*.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 2/3 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/540 (*.f64 (pow.f64 x 8) -1/30240))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 2/3 (*.f64 x x) (fma.f64 (pow.f64 x 8) -1/30240 (*.f64 (pow.f64 x 6) 1/540))))
(*.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 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (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 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.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 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.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 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(*.f64 1 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (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 (cos.f64 x) -1/2))))))
(*.f64 (cbrt.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))) (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (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 (cos.f64 x) 3/4))) (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 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))) (cbrt.f64 (*.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)) (sin.f64 x)))) (cbrt.f64 (/.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (sin.f64 x) 2))))
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(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (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 (cos.f64 x) -1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 (cos.f64 x) -1/2 1/2) (sin.f64 x)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(/.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 2)
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 1) 2)
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(exp.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 (cos.f64 x) -1/2))
(fma.f64 (cos.f64 x) -1/2 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x))) 2)
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 x)) 8/3) 2)
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.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 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(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 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(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 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(neg.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) -8/3))
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(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 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(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 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(cbrt.f64 (pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(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 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))

eval536.0ms (5.8%)

Compiler

Compiled 26805 to 18853 computations (29.7% saved)

prune279.0ms (3%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New120581213
Fresh6814
Picked011
Done224
Total1213191232
Error
0b
Counts
1232 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶44.7b
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)
28.5b
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3)
13.6b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
28.2b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
▶28.2b
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
▶28.2b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓28.3b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓13.8b
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
33.2b
(/.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x))))
31.0b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
28.2b
(/.f64 (exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (sin.f64 x))
▶60.7b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
13.8b
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
13.7b
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
28.2b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
28.2b
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
28.3b
(*.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (/.f64 -1 (sin.f64 x)))
▶0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓33.6b
(*.f64 x 2/3)
Compiler

Compiled 392 to 327 computations (16.6% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 (/.f64 x 2))
✓0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite59.0ms (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
0928
118928
2215228
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(tan.f64 (/.f64 x 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify74.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01181297
12541297
29181297
331601297
477541297
Stop Event
1×node limit
Counts
61 → 69
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 (pow.f64 x 3) 1/24))
(fma.f64 (pow.f64 x 3) 1/24 (*.f64 x 1/2))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/24)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 5) 1/240)))
(fma.f64 x (fma.f64 1/24 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 5) 1/240))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/24))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 5) 1/240 (fma.f64 (pow.f64 x 3) 1/24 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x 1/2 (fma.f64 (pow.f64 x 3) 1/24 (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320))))
(fma.f64 x (fma.f64 1/24 (*.f64 x x) 1/2) (fma.f64 (pow.f64 x 5) 1/240 (*.f64 (pow.f64 x 7) 17/40320)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(tan.f64 (*.f64 x 1/2))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(tan.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(tan.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(tan.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(tan.f64 (*.f64 x 1/2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(tan.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x 2/3)
✓3.7b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1642×add-sqr-sqrt
1618×*-un-lft-identity
1524×add-cube-cbrt
1514×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11797
223147
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x 2/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))))) (#(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 (*.f64 (pow.f64 x 3) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x 2/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1296×associate--l+
1188×times-frac
888×distribute-lft-neg-in
714×associate-+r-
556×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118911
1266851
2891851
34867851
Stop Event
1×node limit
Counts
63 → 59
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 x 2/3) 0)
(+.f64 1 (fma.f64 x 2/3 -1))
(+.f64 (fma.f64 x 2/3 1) -1)
(+.f64 0 (*.f64 x 2/3))
(+.f64 -1 (fma.f64 x 2/3 1))
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(fma.f64 x 2/3 0)
(fma.f64 2/3 x 0)
(fma.f64 1 (*.f64 x 2/3) 0)
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)
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 x 2/3) 0)
(*.f64 2/3 x)
(+.f64 1 (fma.f64 x 2/3 -1))
(*.f64 2/3 x)
(+.f64 (fma.f64 x 2/3 1) -1)
(*.f64 2/3 x)
(+.f64 0 (*.f64 x 2/3))
(*.f64 2/3 x)
(+.f64 -1 (fma.f64 x 2/3 1))
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(*.f64 1 (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (*.f64 (sqrt.f64 (*.f64 x 2/3)) 1))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 (cbrt.f64 (*.f64 x 2/3)) 1))
(*.f64 2/3 x)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))
(*.f64 2/3 x)
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(*.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 x)
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 2/3 x)
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(*.f64 2/3 x)
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (+.f64 (*.f64 x 2/3) 2))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (-.f64 (fma.f64 x 2/3 1) -1))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (-.f64 1 (*.f64 (fma.f64 x 2/3 1) -1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(*.f64 2/3 x)
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8/27) 0) (+.f64 (*.f64 (*.f64 x x) 4/9) (-.f64 0 (*.f64 (*.f64 x 2/3) 0))))
(*.f64 2/3 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x 2/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (fma.f64 2/3 x 2))
(/.f64 (*.f64 (*.f64 2/3 x) (fma.f64 2/3 x 2)) (fma.f64 2/3 x 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (+.f64 (*.f64 x 2/3) 2))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (fma.f64 x 2/3 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) (fma.f64 x 2/3 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 2/3 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 2 (fma.f64 2/3 x (pow.f64 (fma.f64 2/3 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(sqrt.f64 (*.f64 (*.f64 x x) 4/9))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(fma.f64 x 2/3 0)
(*.f64 2/3 x)
(fma.f64 2/3 x 0)
(*.f64 2/3 x)
(fma.f64 1 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(*.f64 2/3 x)
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)
(*.f64 2/3 x)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(*.f64 2/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)
(*.f64 2/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)
(*.f64 2/3 x)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓0.2b
(*.f64 (sin.f64 x) 3/4)
✓1.8b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 25 to 14 computations (44% saved)

series3.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite82.0ms (0.9%)

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 (sin.f64 x) 3/4)
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (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)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.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 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))))) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) 1) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) 1) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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 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(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)))))))

simplify89.0ms (1%)

Algorithm
1×egg-herbie
Rules
1776×distribute-lft-in
1706×associate-/r*
1420×associate-/l/
1234×associate-/r/
432×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03715017
19354859
237534835
Stop Event
1×node limit
Counts
165 → 224
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 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 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(+.f64 1 (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 (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)))
(+.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)))
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 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 -1/8 (pow.f64 x 3)))
(+.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 1/160 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x 3/4 (*.f64 1/160 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 1/160 (pow.f64 x 5) (*.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 1/160 (pow.f64 x 5)))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/6720 (pow.f64 x 7) (fma.f64 x 3/4 (*.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 1/160 (pow.f64 x 5) (*.f64 x 3/4))))
(*.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 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 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
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(*.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 (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 3/4 (sin.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)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
✓0.2b
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
✓0.3b
(/.f64 8/3 (sin.f64 x))
1.8b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 45 to 30 computations (33.3% saved)

series3.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1728×associate-/r*
1168×associate-/l*
854×associate-/r/
604×associate-/l/
324×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01573
132459
2414759
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(/.f64 8/3 (sin.f64 x))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 -1 (sin.f64 x)) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2) (*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) (*.f64 1/2 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 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(2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 1) (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2)))) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (sin.f64 x))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (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 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) (cbrt.f64 (/.f64 8/3 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))))))

simplify94.0ms (1%)

Algorithm
1×egg-herbie
Rules
1042×associate-/r/
766×associate-*r*
756×associate-*l*
548×distribute-lft-neg-out
522×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03925483
110965039
251505035
Stop Event
1×node limit
Counts
149 → 221
Calls
Call 1
Inputs
(/.f64 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))))
(*.f64 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 4 (pow.f64 x 2))
(+.f64 1/3 (*.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2))))
(+.f64 1/3 (+.f64 (*.f64 1/1512 (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/60 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(*.f64 -8/3 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) -8/3)
(*.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(sqrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(+.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2) (*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 -1/2 (cos.f64 x))) (*.f64 (/.f64 8/3 (sin.f64 x)) 1/2))
(+.f64 (*.f64 1/2 (/.f64 8/3 (sin.f64 x))) (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))))
(+.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) (*.f64 1/2 (/.f64 8/3 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (neg.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 1 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 -1 (*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 -8/3 (sin.f64 x)))
(*.f64 (/.f64 -8/3 (sin.f64 x)) (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)
(*.f64 (*.f64 8/3 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (*.f64 (/.f64 1 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) 1) (*.f64 (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 1) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)) (/.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 8/3 (fma.f64 -1/2 (cos.f64 x) 1/2)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (/.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (sin.f64 x))) 1) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (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 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (fma.f64 -1/2 (cos.f64 x) 1/2)))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))) -8/3)
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (/.f64 8/3 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (sin.f64 x))) -1) (cbrt.f64 (neg.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.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))
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.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 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.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 (/.f64 8/3 (sin.f64 x)) (+.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)))))))
(pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) 1/3)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))) -1)
(neg.f64 (*.f64 (/.f64 -8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3))))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 -1 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 -1 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (/.f64 1 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2)) 1) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(*.f64 (/.f64 1 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (neg.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4)) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (/.f64 -1 (neg.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 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/64 (pow.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 (+.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (+.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (+.f64 1/64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (*.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))
(pow.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
Outputs
(/.f64 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(fma.f64 x 4/9 (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 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 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) (sin.f64 x))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(/.f64 (+.f64 (*.f64 (cos.f64 x) -4/3) 4/3) (sin.f64 x))
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(*.f64 (/.f64 1 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (cos.f64 x) -1/4))) (+.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)))) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))
(/.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) 1/4) -1/4))) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))
(*.f64 (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4)) (-.f64 (*.f64 -1/2 (cos.f64 x)) 1/2))
(*.f64 (/.f64 1 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2))))) (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))) (sqrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (sqrt.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (cos.f64 x) -1/4))))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))) (sqrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) (sqrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))) (sqrt.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) 1/4) -1/4)))))
(*.f64 (/.f64 -1 (neg.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 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 (fma.f64 -1/2 (cos.f64 x) -1/2) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) -1/4))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))))
(/.f64 (*.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (cos.f64 x) -1/4))) (+.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)))) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))
(/.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) 1/4) -1/4))) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -2) (cbrt.f64 (+.f64 1/4 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))) (cbrt.f64 (fma.f64 1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x))))))
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (cos.f64 x) -1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -2) (cbrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))) (cbrt.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -2) (cbrt.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8))) (cbrt.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) 1/4) -1/4)))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 1/4))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/16 (*.f64 1/16 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4))
(*.f64 (/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (+.f64 1/16 (*.f64 -1/16 (pow.f64 (cos.f64 x) 4)))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4))
(*.f64 (/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (+.f64 1/16 (*.f64 (pow.f64 (cos.f64 x) 4) -1/16))) (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/64 (pow.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) 3))) (+.f64 (+.f64 1/16 (*.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (*.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (-.f64 1/64 (*.f64 1/64 (pow.f64 (pow.f64 (cos.f64 x) 2) 3)))) (+.f64 (+.f64 1/16 (*.f64 1/16 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 1/16 (pow.f64 (cos.f64 x) 2))))
(/.f64 (fma.f64 1/2 (cos.f64 x) 1/2) (/.f64 (+.f64 1/64 (*.f64 (pow.f64 (cos.f64 x) 6) -1/64)) (fma.f64 1/16 (pow.f64 (cos.f64 x) 2) (fma.f64 1/16 (pow.f64 (cos.f64 x) 4) 1/16))))
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))) (-.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 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (cos.f64 x) -1/4)) (-.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (cos.f64 x) 3)) 1/64))))
(*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (+.f64 1/64 (*.f64 (pow.f64 (cos.f64 x) 6) -1/64))))
(*.f64 (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) 1/4) -1/4))) (+.f64 1/64 (*.f64 (pow.f64 (cos.f64 x) 6) -1/64))))
(*.f64 (/.f64 (+.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (-.f64 1/4 (*.f64 -1/4 (cos.f64 x)))) (+.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (+.f64 1/64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (*.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)))))
(*.f64 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) 1/4) (*.f64 (cos.f64 x) -1/4)) (+.f64 1/512 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 3))) (+.f64 1/64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) (-.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8) 1/8))))
(/.f64 (+.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) -1/512 1/512) (+.f64 1/64 (fma.f64 (pow.f64 (cos.f64 x) 6) 1/64 (*.f64 1/64 (pow.f64 (cos.f64 x) 3))))))
(/.f64 (+.f64 1/4 (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) 1/4) -1/4))) (/.f64 (fma.f64 (pow.f64 (pow.f64 (cos.f64 x) 3) 3) -1/512 1/512) (+.f64 1/64 (*.f64 1/64 (+.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 (cos.f64 x) 3))))))
(pow.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1/2) 2)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 3)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1)
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2)))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))
(/.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)
0.2b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
0.2b
(*.f64 -4/3 (cos.f64 x))
2.0b
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
Compiler

Compiled 50 to 31 computations (38% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)
0.0ms
x
@-inf
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)

rewrite91.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1406×associate-*r/
1252×associate-*l/
820×associate-/r*
644×associate-/l*
480×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01427
129823
2340623
Stop Event
1×node limit
Counts
1 → 194
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4/3) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) 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simplify134.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1078×associate-/l*
602×distribute-lft-neg-in
602×distribute-lft-neg-out
582×times-frac
566×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050610258
113979862
261499794
Stop Event
1×node limit
Counts
202 → 287
Calls
Call 1
Inputs
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4/3) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))))
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 4/3))
(-.f64 (exp.f64 (log1p.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) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 1 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) (sqrt.f64 (/.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)) (/.f64 (sqrt.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))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2))
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(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (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))))
(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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
Outputs
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) 4/3) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(+.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 -4/3 (cos.f64 x))) (*.f64 (/.f64 1 (sin.f64 x)) 4/3))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(-.f64 (exp.f64 (log1p.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))
(*.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 (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))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (sqrt.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))
(*.f64 1 (/.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 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) (*.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (*.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/2))
(*.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (/.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 (cbrt.f64 (/.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))) 2))
(/.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 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) (sqrt.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 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2) (cbrt.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))
(*.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)) (/.f64 1 (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 (-.f64 -4/3 (*.f64 -4/3 (cos.f64 x))) (/.f64 -1 (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4)) (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (*.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4) (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/4)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1/2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) (cbrt.f64 (sqrt.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 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))) (*.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 -1 (sin.f64 x)) (-.f64 -4/3 (*.f64 -4/3 (cos.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (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)) (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)) (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 (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) 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 (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) (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 (cbrt.f64 (/.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)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (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 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (/.f64 1 (sin.f64 x))) (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(*.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (/.f64 (/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (sin.f64 x)) (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2))))
(*.f64 (/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (/.f64 1 (sin.f64 x))) (-.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3)))) (+.f64 16/9 (*.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) 4/3))))
(/.f64 (*.f64 (/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (sin.f64 x)) (+.f64 16/9 (*.f64 -4/3 (*.f64 (cos.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3))))) (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) 4/3) 16/9)) (sin.f64 x)) (+.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (fma.f64 (*.f64 -4/3 (cos.f64 x)) (fma.f64 -4/3 (cos.f64 x) 4/3) 16/9)) (sin.f64 x)) (*.f64 (+.f64 (pow.f64 (cos.f64 x) 3) 1) 64/27))
(*.f64 (/.f64 (*.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (-.f64 256/81 (*.f64 (-.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 -16/9 (cos.f64 x))) (-.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 -16/9 (cos.f64 x)))))) (+.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 -16/9 (cos.f64 x))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (sin.f64 x)) (-.f64 256/81 (*.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 16/9 (cos.f64 x))) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 16/9 (cos.f64 x)))))) (+.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (cos.f64 x) -16/9)))
(*.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (*.f64 (-.f64 256/81 (*.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9)) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9)))) (sin.f64 x))) (fma.f64 (cos.f64 x) -16/9 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2))))
(*.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (*.f64 (-.f64 256/81 (*.f64 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))))) (sin.f64 x))) (fma.f64 (cos.f64 x) -16/9 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2))))
(*.f64 (/.f64 (*.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (+.f64 4096/729 (pow.f64 (-.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 -16/9 (cos.f64 x))) 3))) (+.f64 256/81 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 -16/9 (cos.f64 x))) (-.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 -16/9 (cos.f64 x)))) (*.f64 16/9 (-.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 -16/9 (cos.f64 x)))))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 16/9 (cos.f64 x))) 3))) (+.f64 256/81 (*.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 16/9 (cos.f64 x))) (-.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 16/9 (cos.f64 x))) 16/9))))
(*.f64 (/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9)) 3))) (fma.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9)) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 (*.f64 (cos.f64 x) 16/9) 16/9)) 256/81))
(*.f64 (/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) 3))) (fma.f64 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x))) (+.f64 -16/9 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x)))) 256/81))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (/.f64 (sin.f64 x) 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) (sin.f64 x)) 1)
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
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(/.f64 (/.f64 (-.f64 -4/3 (*.f64 -4/3 (cos.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (-.f64 -4/3 (*.f64 -4/3 (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (-.f64 -4/3 (*.f64 -4/3 (cos.f64 x))) -1) (sin.f64 x))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (-.f64 -4/3 (*.f64 -4/3 (cos.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (*.f64 (*.f64 (fabs.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (/.f64 1 (sin.f64 x))) 1) (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (/.f64 (*.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (/.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))))) (sqrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (/.f64 (*.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (/.f64 1 (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))) (cbrt.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (/.f64 (*.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) 1) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 16/9 (*.f64 -16/9 (cos.f64 x)))))
(/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (+.f64 16/9 (*.f64 16/9 (cos.f64 x))))))
(/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 16/9 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9))))
(/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 16/9 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 16/9 (*.f64 -16/9 (cos.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 16/9 (*.f64 -16/9 (cos.f64 x))))))
(/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (+.f64 16/9 (*.f64 16/9 (cos.f64 x))))))
(/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 16/9 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9))))
(/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 16/9 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 16/9 (*.f64 -16/9 (cos.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 16/9 (*.f64 -16/9 (cos.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (-.f64 16/9 (*.f64 -16/9 (cos.f64 x))))))
(/.f64 (+.f64 64/27 (*.f64 -64/27 (pow.f64 (cos.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (+.f64 16/9 (*.f64 16/9 (cos.f64 x))))))
(/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 16/9 (+.f64 (pow.f64 (*.f64 -4/3 (cos.f64 x)) 2) (*.f64 (cos.f64 x) 16/9))))
(/.f64 (/.f64 (fma.f64 -64/27 (pow.f64 (cos.f64 x) 3) 64/27) (sin.f64 x)) (+.f64 16/9 (*.f64 16/9 (+.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (cos.f64 x)))))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) 1) (cbrt.f64 (sin.f64 x)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (fma.f64 -4/3 (cos.f64 x) 4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (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 (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))
(exp.f64 (*.f64 (log.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))
(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))

eval538.0ms (5.8%)

Compiler

Compiled 27084 to 18645 computations (31.2% saved)

prune278.0ms (3%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New122171228
Fresh10111
Picked101
Done257
Total1234131247
Error
0b
Counts
1247 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
▶47.3b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
✓28.2b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓28.3b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
▶0.5b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
31.0b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
▶0.1b
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
0.4b
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓60.7b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
✓0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
▶27.7b
(*.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 4/3)
✓33.6b
(*.f64 x 2/3)
32.9b
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
Compiler

Compiled 199 to 168 computations (15.6% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 18 computations (21.7% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (0.7%)

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)))))))

simplify63.0ms (0.7%)

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)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 4/9)
0.3b
(*.f64 x 2/3)
✓27.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
Compiler

Compiled 41 to 26 computations (36.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1866×add-sqr-sqrt
1834×*-un-lft-identity
1748×add-cube-cbrt
216×add-exp-log
216×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
127720
2344720
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(*.f64 (*.f64 x x) 4/9)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (/.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)))) (#(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)))) 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x 2/3)) 2) 0)))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1548×times-frac
1084×associate-/l*
748×associate-*r*
742×distribute-lft-neg-in
630×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02651960
18181862
262561862
Stop Event
1×node limit
Counts
150 → 144
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 4/9 (pow.f64 x 2))
(+.f64 0 (*.f64 x 2/3))
(+.f64 (*.f64 x 2/3) 0)
(-.f64 (*.f64 x 2/3) 0)
(-.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(*.f64 x 2/3)
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
(*.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))
(*.f64 2/3 x)
(*.f64 2/3 (/.f64 (*.f64 x x) x))
(*.f64 (*.f64 x 2/3) 1)
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 1 (*.f64 x 2/3))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))
(*.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9))))
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3)))
(*.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3))
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))
(*.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))
(*.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (/.f64 3/2 x) -1)
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3)))
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(fabs.f64 (*.f64 x 2/3))
(log.f64 (exp.f64 (*.f64 x 2/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(fma.f64 x 2/3 0)
(fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0)
(fma.f64 2/3 x 0)
(fma.f64 1 (*.f64 x 2/3) 0)
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)
(+.f64 (*.f64 x (*.f64 x 4/9)) 0)
(+.f64 0 (*.f64 x (*.f64 x 4/9)))
(-.f64 (*.f64 x (*.f64 x 4/9)) 0)
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9))))
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1)
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3)))
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x))
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))
(/.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))
(/.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3))))
(/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9)))
(/.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3))
(/.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))
(/.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3)))
(/.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3))
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9)
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9)))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(/.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3))
(/.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x)))
(/.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1)
(pow.f64 (*.f64 x 2/3) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9)))))
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))
(fma.f64 x (*.f64 x 4/9) 0)
(fma.f64 (*.f64 x x) 4/9 0)
(fma.f64 4/9 (*.f64 x x) 0)
(fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0)
(fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0)
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0)
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 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(*.f64 4/9 (pow.f64 x 2))
(*.f64 x (*.f64 x 4/9))
(+.f64 0 (*.f64 x 2/3))
(*.f64 2/3 x)
(+.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(-.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(-.f64 (*.f64 x 2/3) (/.f64 0 (*.f64 x (*.f64 x 4/9))))
(*.f64 2/3 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 2/3))) 1)
(*.f64 2/3 x)
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(*.f64 2/3 x)
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(*.f64 2/3 x)
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))
(*.f64 2/3 x)
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x))
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 (/.f64 (*.f64 x x) x))
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 2/3 x)
(*.f64 1 (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 4/9)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (/.f64 3/2 x)))
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 2/3))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(*.f64 2/3 x)
(*.f64 (cbrt.f64 (*.f64 x 2/3)) (/.f64 (*.f64 x 2/3) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 (cbrt.f64 (*.f64 2/3 x)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 2/3 x)) 2/3)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 4) (cbrt.f64 (*.f64 2/3 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))
(*.f64 2/3 x)
(*.f64 (*.f64 8/27 (pow.f64 x 3)) (/.f64 1 (*.f64 x (*.f64 x 4/9))))
(*.f64 8/27 (*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x (*.f64 x 4/9)))))
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
(*.f64 2/3 x)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (fabs.f64 (cbrt.f64 (*.f64 2/3 x))))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 x)
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 2/3 x)
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(*.f64 2/3 x)
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
(*.f64 2/3 x)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x (*.f64 x 4/9)) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x (*.f64 x 4/9)) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x 2/3) 1) (/.f64 (*.f64 x 2/3) (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x (*.f64 x 4/9))) (*.f64 x 2/3))
(*.f64 2/3 x)
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
(*.f64 2/3 x)
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))
(*.f64 2/3 x)
(*.f64 (/.f64 x (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x 4/9) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x 4/9) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))
(*.f64 2/3 x)
(*.f64 (/.f64 4/9 x) (/.f64 (*.f64 x x) 2/3))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))) (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 4/9 (sqrt.f64 (*.f64 x 2/3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 4/9 (cbrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 4/9 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x 2/3) x) (/.f64 (*.f64 x 2/3) 2/3))
(*.f64 2/3 x)
(*.f64 (/.f64 (*.f64 x 2/3) 2/3) (/.f64 (*.f64 x 2/3) x))
(*.f64 2/3 x)
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) x) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 2/3))
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 2/3) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) x))
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (*.f64 x 2/3)))
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (sqrt.f64 (*.f64 x 2/3))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (sqrt.f64 (*.f64 x 2/3))))
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (/.f64 3/2 x) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) (*.f64 (/.f64 3/2 x) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1/2)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(fabs.f64 (*.f64 x -2/3))
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 2/3 x)
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(neg.f64 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 x -2/3)))
(*.f64 2/3 x)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(fabs.f64 (*.f64 x -2/3))
(fabs.f64 (*.f64 x 2/3))
(*.f64 2/3 x)
(log.f64 (exp.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 2/3))))
(*.f64 2/3 x)
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x 2/3)) 1))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(fma.f64 x 2/3 0)
(*.f64 2/3 x)
(fma.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 3/2 x) 0)
(*.f64 2/3 x)
(fma.f64 2/3 x 0)
(*.f64 2/3 x)
(fma.f64 1 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 0)
(*.f64 2/3 x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 0)
(*.f64 2/3 x)
(+.f64 (*.f64 x (*.f64 x 4/9)) 0)
(*.f64 x (*.f64 x 4/9))
(+.f64 0 (*.f64 x (*.f64 x 4/9)))
(*.f64 x (*.f64 x 4/9))
(-.f64 (*.f64 x (*.f64 x 4/9)) 0)
(*.f64 x (*.f64 x 4/9))
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(-.f64 (*.f64 x (*.f64 x 4/9)) (/.f64 0 (*.f64 16/81 (pow.f64 x 4))))
(*.f64 x (*.f64 x 4/9))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9)))) 1)
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (/.f64 3/2 x) (*.f64 x 2/3)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 x 2/3) (/.f64 3/2 x))
(*.f64 x (*.f64 x 4/9))
(/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x)))
(*.f64 x (*.f64 x 4/9))
(/.f64 1 (/.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 16/81 (pow.f64 x 4))))
(*.f64 x (*.f64 x 4/9))
(/.f64 1 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 64/729 (pow.f64 (*.f64 x x) 3))))
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3))))
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x (*.f64 x 4/9)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x 2/3))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) (*.f64 16/81 (pow.f64 x 4)))
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3))))
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (/.f64 3/2 x) (*.f64 x -2/3)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x x) -4/9)) (*.f64 x -2/3))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 8/27 (pow.f64 x 3))) (*.f64 8/27 (pow.f64 x 3)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) x) (*.f64 x 4/9))
(*.f64 x (*.f64 x 4/9))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (*.f64 x x)) 4/9)
(*.f64 x (*.f64 x 4/9))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 4/9) (*.f64 x x))
(*.f64 x (*.f64 x 4/9))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) 1) (*.f64 x (*.f64 x 4/9)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2))
(/.f64 (/.f64 (*.f64 16/81 (pow.f64 x 4)) (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))
(*.f64 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2)) (/.f64 16/81 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4)))))
(/.f64 (neg.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3))) (neg.f64 (*.f64 16/81 (pow.f64 x 4))))
(/.f64 1 (*.f64 9/4 (/.f64 (pow.f64 x 4) (pow.f64 (*.f64 x x) 3))))
(*.f64 4/9 (/.f64 (pow.f64 x 6) (pow.f64 x 4)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 8/27 (pow.f64 x 3)) (*.f64 x (*.f64 x 4/9))) (*.f64 8/27 (pow.f64 x 3)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 x (*.f64 x 4/9)) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x x) -4/9))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9))
(*.f64 x (*.f64 x 4/9))
(/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) 1) (*.f64 (*.f64 x -2/3) (/.f64 3/2 x)))
(*.f64 x (*.f64 x 4/9))
(/.f64 (neg.f64 (*.f64 16/81 (pow.f64 x 4))) (*.f64 (*.f64 x x) -4/9))
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 x (*.f64 x 4/9)) 1)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 x 2/3) 2)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 3)
(*.f64 x (*.f64 x 4/9))
(pow.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6)))
(sqrt.f64 (*.f64 16/81 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4/9) (*.f64 x x)))
(*.f64 x (*.f64 x 4/9))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 4/9)))))
(*.f64 x (*.f64 x 4/9))
(cbrt.f64 (*.f64 64/729 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 64/729 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(exp.f64 (log.f64 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 4/9))) 1))
(*.f64 x (*.f64 x 4/9))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 4/9))))
(*.f64 x (*.f64 x 4/9))
(fma.f64 x (*.f64 x 4/9) 0)
(*.f64 x (*.f64 x 4/9))
(fma.f64 (*.f64 x x) 4/9 0)
(*.f64 x (*.f64 x 4/9))
(fma.f64 4/9 (*.f64 x x) 0)
(*.f64 x (*.f64 x 4/9))
(fma.f64 (*.f64 x 2/3) (*.f64 x 2/3) 0)
(*.f64 x (*.f64 x 4/9))
(fma.f64 1 (*.f64 x (*.f64 x 4/9)) 0)
(*.f64 x (*.f64 x 4/9))
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) 0)
(fma.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2) 0)
(*.f64 (cbrt.f64 (*.f64 16/81 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (*.f64 2/3 x)) 2))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(tan.f64 (/.f64 x 2))
✓0.1b
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
✓0.3b
(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)))

rewrite80.0ms (0.9%)

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
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simplify95.0ms (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))))
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(/.f64 (/.f64 4/3 (*.f64 (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 4/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) (cbrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(*.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4)
(*.f64 -3/4 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -3/4)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1)
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(fma.f64 -1/8 x (/.f64 3/2 x))
(fma.f64 x -1/8 (/.f64 3/2 x))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(fma.f64 -1/8 x (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (/.f64 3/2 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5)))))
(fma.f64 -1/8 x (+.f64 (fma.f64 -1/480 (pow.f64 x 3) (/.f64 3/2 x)) (*.f64 (pow.f64 x 5) -1/20160)))
(fma.f64 x -1/8 (fma.f64 (pow.f64 x 3) -1/480 (fma.f64 (pow.f64 x 5) -1/20160 (/.f64 3/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 -1 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.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 4/3 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 -4/3 (neg.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1) 4/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) -1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.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 4/3 (tan.f64 (*.f64 x 1/2)))
(*.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 4/3 (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 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (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 4/3 (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 4/3 (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 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (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 4/3 (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 4/3 (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 4/3 (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 4/3 (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 4/3 (tan.f64 (*.f64 x 1/2)))
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(/.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 3/4)) (cbrt.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 3/4 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 -1 (/.f64 -3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) 3/4)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 -3/4 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -1 (tan.f64 (*.f64 x 1/2))) -3/4)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(/.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (/.f64 3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 -3/4 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 3/4 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (/.f64 (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 3/4 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/4 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/4 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 3/4 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2) (pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3/2))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6) (pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/6))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) -1)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 2)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))) 3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 2))
(fabs.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 3))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 3/4 (tan.f64 (*.f64 x 1/2)))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
✓0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
Compiler

Compiled 32 to 25 computations (21.9% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
990×*-commutative
934×associate-/r*
856×associate-/l*
790×associate-*r/
634×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
122550
2274350
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 (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) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))))) (#(struct:change 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simplify69.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1060×unswap-sqr
886×*-commutative
838×associate-/r*
664×times-frac
604×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02163941
15453739
222103739
Stop Event
1×node limit
Counts
103 → 110
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))
(sqrt.f64 (*.f64 16/9 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (/.f64 -1 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) 4/3)
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) 1))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) 1))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 4/3 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 4/3 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3)
(*.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)) 1))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 -1 (cos.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (+.f64 (*.f64 2/3 x) (*.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 -1/483840 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (fma.f64 -1/483840 (pow.f64 x 7) (*.f64 2/3 x))))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) 1/18))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 3)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(sqrt.f64 (+.f64 8/9 (*.f64 (cos.f64 x) -8/9)))
(log.f64 (pow.f64 (exp.f64 4/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (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))))
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(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 4/3)) (/.f64 1 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (pow.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (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)) (neg.f64 (cos.f64 (*.f64 x 1/2)))) -4/3)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cos.f64 (*.f64 x 1/2)) 3/4)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2))))) (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 2)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))) 3)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3) 1/3)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (cos.f64 (*.f64 x 1/2)) (/.f64 3/4 (sin.f64 (*.f64 x 1/2)))) -1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -4/3) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4)) 1))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (/.f64 -1 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) -3/4))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2)))) 3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 4/3 (cos.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(tan.f64 (*.f64 x 1/2))
✓0.2b
(*.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 4/3)
✓0.3b
(exp.f64 (tan.f64 (*.f64 x 1/2)))
✓4.0b
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
Compiler

Compiled 30 to 24 computations (20% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(tan.f64 (*.f64 x 1/2))
0.0ms
x
@0
(exp.f64 (tan.f64 (*.f64 x 1/2)))
0.0ms
x
@inf
(exp.f64 (tan.f64 (*.f64 x 1/2)))
0.0ms
x
@0
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
0.0ms
x
@-inf
(exp.f64 (tan.f64 (*.f64 x 1/2)))

rewrite71.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1768×add-sqr-sqrt
1744×*-un-lft-identity
1620×add-cube-cbrt
1604×add-cbrt-cube
188×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
121154
2219754
Stop Event
1×node limit
Counts
4 → 83
Calls
Call 1
Inputs
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (tan.f64 (*.f64 x 1/2)))
(*.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 4/3)
(tan.f64 (*.f64 x 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))))))
((#(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 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify77.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1264×associate-*r/
1070×associate-*l/
1058×unswap-sqr
808×distribute-lft-in
772×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01683341
13562599
213672593
358322593
Stop Event
1×node limit
Counts
131 → 108
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 1) (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 2))
(log.f64 (exp.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(-.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 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/2 x 1) (*.f64 (pow.f64 x 3) 1/16)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) 1/16 1)))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(exp.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 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))
(fma.f64 (pow.f64 x 3) 1/18 (*.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)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/18 (*.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 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 (pow.f64 x 7) 17/30240))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 17/40320 (pow.f64 x 7)) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(tan.f64 (*.f64 x 1/2))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) 1)
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(*.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 1)
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(*.f64 1 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 1)
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (exp.f64 1) (tan.f64 (*.f64 x 1/2)))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 2))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(log.f64 (exp.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))) 3))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (tan.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) 4/3)
(*.f64 (/.f64 4/3 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 4/3 (cos.f64 (*.f64 1/2 x))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2) 16/9))
(fabs.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(+.f64 0 (tan.f64 (*.f64 x 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 1 (tan.f64 (*.f64 x 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 1/2 x))))))
(tan.f64 (*.f64 1/2 x))

eval282.0ms (3.1%)

Compiler

Compiled 11772 to 9910 computations (15.8% saved)

prune155.0ms (1.7%)

Pruning

32 alts after pruning (25 fresh and 7 done)

PrunedKeptTotal
New72725752
Fresh303
Picked011
Done369
Total73332765
Error
0b
Counts
765 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
33.6b
(pow.f64 (/.f64 3/2 x) -1)
0.2b
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
56.7b
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0))
56.7b
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0))
53.4b
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) 0) (-.f64 (*.f64 x 2/3) 0))
47.8b
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0))
✓28.2b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓28.3b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓0.5b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
33.5b
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4)
0.4b
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
0.3b
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
33.6b
(/.f64 8/27 (/.f64 4/9 x))
✓60.7b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
47.3b
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
47.3b
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
47.3b
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))
33.6b
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))
33.6b
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))
47.3b
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
47.3b
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
33.8b
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
✓0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓27.7b
(*.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 4/3)
61.4b
(*.f64 (log.f64 1) 4/3)
33.7b
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
✓33.6b
(*.f64 x 2/3)
47.3b
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
47.2b
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
47.3b
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))
47.9b
(fabs.f64 (*.f64 x 2/3))
Compiler

Compiled 346 to 267 computations (22.8% saved)

regimes72.0ms (0.8%)

Counts
62 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4)
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0))
(fabs.f64 (*.f64 x 2/3))
(*.f64 (log.f64 1) 4/3)
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.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 (sin.f64 (*.f64 x 1/2)) (+.f64 3/4 (*.f64 -3/32 (*.f64 x x))))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(*.f64 (+.f64 -4/3 (*.f64 (cos.f64 x) 4/3)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/4) (cos.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
(*.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 1 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 (log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2)))) 4/3)
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sin.f64 x))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(*.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)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))) 2)
(/.f64 (exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (sin.f64 x))
(/.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3))) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 3)
(/.f64 (-.f64 1/4 (*.f64 1/4 (*.f64 (cos.f64 x) (cos.f64 x)))) (/.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.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)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

2 calls:

31.0ms
x
24.0ms
(/.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 687 to 489 computations (28.8% saved)

regimes20.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4)
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0))
(fabs.f64 (*.f64 x 2/3))
(*.f64 (log.f64 1) 4/3)
(pow.f64 (/.f64 3/2 x) -1)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
Outputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 266 to 185 computations (30.5% saved)

regimes19.0ms (0.2%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4)
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.f64 4/9 (*.f64 (*.f64 x x) (/.f64 3/2 x)))
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
(*.f64 (/.f64 x 2/3) (/.f64 (*.f64 x 4/9) x))
(*.f64 (/.f64 (*.f64 x x) 2/3) (/.f64 4/9 x))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(*.f64 (/.f64 x 1) (/.f64 (*.f64 x 4/9) (*.f64 x 2/3)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 4/9 (*.f64 x 2/3)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x 2/3)) (*.f64 x -2/3)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 x (*.f64 x 4/9))) (*.f64 (*.f64 x x) -4/9)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) -4/9) (*.f64 (*.f64 x x) -4/9)) (*.f64 (*.f64 x -2/3) (*.f64 x -2/3))) 0) (-.f64 (*.f64 x 2/3) 0))
(fabs.f64 (*.f64 x 2/3))
(*.f64 (log.f64 1) 4/3)
(pow.f64 (/.f64 3/2 x) -1)
Outputs
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4)
Calls

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
33.5b1x
Compiler

Compiled 254 to 175 computations (31.1% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
Outputs
(/.f64 8/27 (/.f64 4/9 x))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
33.6b1x
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative
6×neg-mul-1
6×+-commutative
6×neg-sub0
4×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02367
13767
24567
35067
45267
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 (neg.f64 (*.f64 x 1/2)) -3/4)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 x 2/3)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(/.f64 (neg.f64 (*.f64 x 1/2)) -3/4)
(/.f64 (*.f64 x -1/2) -3/4)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 x 2/3)
Compiler

Compiled 30 to 25 computations (16.7% saved)

soundness104.0ms (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)

end32.0ms (0.3%)

Compiler

Compiled 26 to 21 computations (19.2% saved)

Profiling

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