Details

Time bar (total: 9.7s)

analyze419.0ms (4.3%)

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

Compiled 18 to 15 computations (16.7% saved)

sample3.6s (36.9%)

Results
1.6s2091×body1024valid
1.5s5205×body256valid
502.0ms954×body512valid
8.0ms6×body2048valid
Bogosity

preprocess7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12243
23343
34543
45643
56043
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
(*.f64 8/3 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify13.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval2.0ms (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
13.0b
Counts
5 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.2b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶13.3b
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
▶13.2b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
Compiler

Compiled 47 to 38 computations (19.1% saved)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.4b
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) 8/3)
✓13.0b
(/.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)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite92.0ms (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)))))))))

simplify168.0ms (1.7%)

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)

localize51.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
✓13.1b
(/.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))

rewrite71.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01256
125756
2341752
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(/.f64 (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (*.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sqrt.f64 8/3))) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sqrt.f64 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 8/3))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) 1) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 8/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 2 (-.f64 (cos.f64 0) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))))) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3))) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (cbrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (cos.f64 0) (cos.f64 x))) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x)))) 8/3) (+.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) 8/3) (+.f64 1/4 (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 1/2 (cos.f64 x))) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (cos.f64 0) (cos.f64 x))) 8/3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (-.f64 (cos.f64 0) (cos.f64 x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 8/3) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))))))

simplify82.0ms (0.8%)

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)))

localize53.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
✓13.1b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 54 to 43 computations (20.4% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
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))

rewrite118.0ms (1.2%)

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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simplify71.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02764380
17014250
226034240
Stop Event
1×node limit
Counts
124 → 155
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 8/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(pow.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1)
(neg.f64 (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1)
(pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(/.f64 (*.f64 8/3 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2))))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 8/3) 2)
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (*.f64 (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sqrt.f64 8/3) (sqrt.f64 (sin.f64 x)))) 2)
(*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (*.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (sin.f64 x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (*.f64 (/.f64 1 (sin.f64 x)) (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2)) (/.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (*.f64 -8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 (/.f64 8/3 (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 8/3 (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
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(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (*.f64 x 1/2)))) 3/4)
(*.f64 4/3 (-.f64 1 (cos.f64 (*.f64 x 1))))
(-.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1)) 3/4))
(pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))
(fabs.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (pow.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))

eval328.0ms (3.4%)

Compiler

Compiled 14244 to 9786 computations (31.3% saved)

prune159.0ms (1.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New77521796
Fresh000
Picked101
Done202
Total77821799
Error
0b
Counts
799 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
13.1b
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
▶27.9b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
0.5b
(/.f64 (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
28.1b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
▶27.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
27.9b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
39.1b
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
47.0b
(/.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))
0.4b
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) 8/3) (sin.f64 (*.f64 x 1/2))))
27.9b
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
28.0b
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
34.5b
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
13.3b
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x)))
13.2b
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
27.9b
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 4/3)
28.0b
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
▶13.3b
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
28.0b
(*.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)
▶33.9b
(*.f64 x 2/3)
Compiler

Compiled 506 to 416 computations (17.8% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 43 to 29 computations (32.6% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.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)
1.0ms
x
@-inf
(/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
0.0ms
x
@0
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))

rewrite98.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1174×associate-/r/
866×swap-sqr
812×unswap-sqr
754×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 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3)
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
Outputs
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simplify126.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
896×associate-*r*
878×*-commutative
804×distribute-lft-neg-in
762×associate-*l*
694×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05609729
115649293
261529293
Stop Event
1×node limit
Counts
261 → 310
Calls
Call 1
Inputs
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 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1)
(*.f64 (sin.f64 x) (*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (sin.f64 x) (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(*.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 1)
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(*.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)))
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(*.f64 -3/8 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 3/8 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (/.f64 3/8 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (/.f64 1 (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 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 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (/.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))
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(*.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))) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 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))) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (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 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (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))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) 2)) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) -8/3)
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -1) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -1) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) 1) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) 1) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (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 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) -1) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 8/3))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) 1)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) -1) (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -8/3)
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (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 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (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)) 1) 3/8) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2))))) -8/3)
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (*.f64 (sin.f64 x) 3/8)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (neg.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 x) 8/3)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) 1) (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 8/3))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8))) (sqrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 -8/3))
(*.f64 (/.f64 (/.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)) 1) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (/.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)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (/.f64 (/.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)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 8/3))
(*.f64 (/.f64 (/.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)) (cbrt.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))) (cbrt.f64 -8/3))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3)))
(neg.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
Outputs
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)))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
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(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 2))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))) 2)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8))))) (cbrt.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 2))
(*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)))) 2)
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3)
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3) 1/3)
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) -1)
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -8/3)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(neg.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3) 1))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (*.f64 1 (*.f64 (/.f64 1 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -8/3)))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2))
(fabs.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 27/512)))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 (/.f64 1 (*.f64 3/8 (sin.f64 x))) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.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
@inf
(*.f64 x 2/3)
0.0ms
x
@0
(*.f64 x 2/3)

rewrite47.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify59.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034161
184161
2259161
31819161
44000161
56465161
Stop Event
1×node limit
Counts
23 → 12
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 x 2/3) 3) 1/3)
(*.f64 2/3 x)
(sqrt.f64 (*.f64 x (*.f64 x 4/9)))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (pow.f64 (*.f64 x 2/3) 3))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)

localize17.0ms (0.2%)

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)
✓1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 25 to 14 computations (44% saved)

series5.0ms (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
@0
(-.f64 1 (cos.f64 x))
0.0ms
x
@inf
(*.f64 (sin.f64 x) 3/4)
0.0ms
x
@-inf
(*.f64 (sin.f64 x) 3/4)

rewrite76.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

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

simplify80.0ms (0.8%)

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)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (-.f64 1 (+.f64 1 (cos.f64 x))) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2))))
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sqrt.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 1 (cos.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (tan.f64 (/.f64 x 2))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.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 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))))))
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (/.f64 (cbrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (+.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 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (tan.f64 (/.f64 x 2))))
(*.f64 (tan.f64 (/.f64 x 2)) (*.f64 (sqrt.f64 (sin.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)))
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(*.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 (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)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (+.f64 -1 (cos.f64 x)) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) 3/4) (/.f64 1 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 -1 (cos.f64 x)))
(*.f64 (+.f64 (cos.f64 x) -1) (/.f64 -4/3 (sin.f64 x)))
(*.f64 (/.f64 -4/3 (sin.f64 x)) (+.f64 (cos.f64 x) -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 1) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) 3/4) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (/.f64 4/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 4/3)))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) 2)) (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)))
(*.f64 (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)))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)
✓0.2b
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
✓1.6b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 38 to 25 computations (34.2% saved)

series5.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite81.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01373
128461
2362161
Stop Event
1×node limit
Counts
3 → 150
Calls
Call 1
Inputs
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(/.f64 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8) (sin.f64 x))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 3/8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (cos.f64 x) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (+.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 (cos.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/3 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 8/3 (*.f64 -1/2 (cos.f64 x))) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) 8/3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) (sqrt.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 (fma.f64 -1/2 (cos.f64 x) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3)))))))

simplify95.0ms (1%)

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

Useful iterations: 2 (0.0ms)

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
✓0.3b
(/.f64 1 (/.f64 (sin.f64 x) 8/3))
✓0.3b
(/.f64 (sin.f64 x) 8/3)
✓13.0b
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
Compiler

Compiled 44 to 32 computations (27.3% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite92.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1244×associate-*r/
1006×associate-*l/
844×associate-/r*
630×associate-/l*
402×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01578
131172
2357372
Stop Event
1×node limit
Counts
4 → 249
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(/.f64 (sin.f64 x) 8/3)
(/.f64 1 (/.f64 (sin.f64 x) 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 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (*.f64 (sin.f64 x) 3/8) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.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 (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 (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 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(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 (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 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (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 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(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)))))))))

simplify95.0ms (1%)

Algorithm
1×egg-herbie
Rules
1396×associate-/l*
1254×times-frac
828×associate-/r*
790×associate-/l/
636×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06159483
114898963
Stop Event
1×node limit
Counts
297 → 358
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 3/8 x)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 (*.f64 -1/13440 (pow.f64 x 7)) (*.f64 3/8 x))))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(*.f64 3/8 (sin.f64 x))
(/.f64 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 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(/.f64 8/3 (sin.f64 x))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3/8)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2))))
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
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(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 3/8))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1) (*.f64 (sin.f64 x) -3/8))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) -3/8)
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) -1) (*.f64 (sin.f64 x) 3/8))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))) 3/8)
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8))) (sqrt.f64 (*.f64 (sin.f64 x) -3/8)))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) -3/8)) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -2) (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 1 (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(*.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) 3/8))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) 3/8))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 3/8 (sin.f64 x))
(*.f64 -1 (*.f64 (sin.f64 x) -3/8))
(*.f64 (neg.f64 (sin.f64 x)) -3/8)
(*.f64 -3/8 (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 1) 3/8)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 1) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) 1) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 1 (/.f64 8/3 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (/.f64 8/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 8/3) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 -1)) (sqrt.f64 (*.f64 (sin.f64 x) -3/8)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 8/3) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (cbrt.f64 (*.f64 (sin.f64 x) -3/8)))
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (/.f64 8/3 (sin.f64 x)) -1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) -3/8))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.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))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(*.f64 -1 (/.f64 -8/3 (sin.f64 x)))
(*.f64 -1 (neg.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 -8/3 (sin.f64 x)) -1)
(*.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 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64)) -1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x))) (cbrt.f64 8/3))
(*.f64 (/.f64 1 (neg.f64 (neg.f64 (sin.f64 x)))) 8/3)
(*.f64 (/.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3))
(*.f64 (/.f64 -1 (neg.f64 (neg.f64 (sin.f64 x)))) -8/3)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3))
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(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)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -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 (sin.f64 x) 3/8)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.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 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(*.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 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(/.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 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (/.f64 1 (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 1 (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 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)))))
(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 (*.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 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)))
(*.f64 3/8 x)
(*.f64 x 3/8)
(+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x))
(fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8))
(fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16))
(+.f64 (*.f64 1/320 (pow.f64 x 5)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (*.f64 3/8 x)))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (*.f64 x 3/8)))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 x 3/8 (*.f64 (pow.f64 x 3) -1/16)))
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(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(/.f64 8/3 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(/.f64 8/3 (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) -2))
(fabs.f64 (/.f64 8/3 (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(/.f64 8/3 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(/.f64 8/3 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(/.f64 8/3 (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(/.f64 8/3 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(/.f64 8/3 (sin.f64 x))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(-.f64 (exp.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x))))) 1)
(+.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))) -1)
(+.f64 3/2 (-.f64 (*.f64 (cos.f64 x) -1/2) 1))
(*.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 1)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (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))))
(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 (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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(*.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 1 (/.f64 1 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(/.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 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (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)))))
(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 (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 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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(/.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 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x))) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (*.f64 x 1/2) (*.f64 x 1/2))) (cos.f64 x)) 1) 2)
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (exp.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 3))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))
(expm1.f64 (log.f64 (-.f64 3/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (+.f64 3/2 (*.f64 -1/2 (cos.f64 x))) -1)
(+.f64 3/2 (-.f64 (*.f64 (cos.f64 x) -1/2) 1))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) 1))
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(*.f64 1/2 (-.f64 1 (cos.f64 x)))

eval458.0ms (4.7%)

Compiler

Compiled 23387 to 16580 computations (29.1% saved)

prune250.0ms (2.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1139101149
Fresh14216
Picked101
Done224
Total1156141170
Error
0b
Counts
1170 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
1.4b
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
✓27.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
28.0b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
▶27.9b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
▶30.8b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
▶0.1b
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
▶60.6b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
39.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
27.9b
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
▶28.0b
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓33.9b
(*.f64 x 2/3)
19.9b
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
Compiler

Compiled 246 to 211 computations (14.2% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 18 computations (21.7% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify59.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(*.f64 x 2/3)
✓2.1b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)

rewrite54.0ms (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)))))

simplify57.0ms (0.6%)

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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1706×add-sqr-sqrt
1668×*-un-lft-identity
1568×add-cube-cbrt
1554×add-cbrt-cube
172×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118617
2210417
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
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 *.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(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))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(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))) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3)))) (#(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 pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))))))

simplify47.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1796×distribute-lft-in
1618×associate-*r*
1286×associate-*l*
878×associate-+r+
784×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085755
1188755
2626749
34124749
Stop Event
1×node limit
Counts
37 → 40
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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3)
(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)
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
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))
(fma.f64 2/3 x (*.f64 -1/36 (pow.f64 x 3)))
(+.f64 (*.f64 -1/36 (pow.f64 x 3)) (+.f64 (*.f64 1/2880 (pow.f64 x 5)) (*.f64 2/3 x)))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/2880 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/2880 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/2880 (pow.f64 x 5))))
(+.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 1/2880 (pow.f64 x 5) (fma.f64 -1/36 (pow.f64 x 3) (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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 4/3 (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))) 4/3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) -4/3)
(*.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)))
(pow.f64 (/.f64 3/4 (sin.f64 (*.f64 x 1/2))) -1)
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) -3/4))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 16/9))
(fabs.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))
(log.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (sin.f64 (*.f64 x 1/2)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
✓0.4b
(/.f64 4/3 (sin.f64 x))
1.6b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 25 to 14 computations (44% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite77.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1512×associate-*r/
1128×associate-*l/
984×*-commutative
570×associate-/r*
400×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
122938
2286338
Stop Event
1×node limit
Counts
2 → 194
Calls
Call 1
Inputs
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) (-.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4/3 (/.f64 (*.f64 (sin.f64 x) (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.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 (*.f64 (sin.f64 x) 3/4) (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 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.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 (*.f64 (sin.f64 x) 3/4) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 (sin.f64 x) 3/4) 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((x /.f64 (sqrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 4/3 (-.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)))) (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.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 (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.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 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 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3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))))))

simplify113.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1078×associate-*l*
950×times-frac
844×associate-*r*
844×associate-/r*
562×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05238094
114998040
275548040
Stop Event
1×node limit
Counts
210 → 293
Calls
Call 1
Inputs
(/.f64 4/3 x)
(+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))
(+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(+.f64 (*.f64 31/11340 (pow.f64 x 5)) (+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.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 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 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(*.f64 -4/3 (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (sin.f64 x)) -4/3)
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (sin.f64 x) 3/4) -1)
(sqrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) 1))
(+.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) (-.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) 1)
(/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(/.f64 4/3 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(/.f64 4/3 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (sin.f64 x)))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/4) (-.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (pow.f64 (sin.f64 x) 2)))
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 3/4) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 (sin.f64 x) 3/4) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 1))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) 1))
(/.f64 -4/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(/.f64 -4/3 (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))
(/.f64 -4/3 (/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 (sin.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (sqrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 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 (*.f64 (sin.f64 x) 3/4) (+.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 (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))))) (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 4/3 (sqrt.f64 (-.f64 1 (cos.f64 x)))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
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(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (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 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) -1) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
Outputs
(/.f64 4/3 x)
(+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))
(fma.f64 2/9 x (/.f64 4/3 x))
(fma.f64 x 2/9 (/.f64 4/3 x))
(+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x))))
(fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x)))
(fma.f64 7/270 (pow.f64 x 3) (fma.f64 x 2/9 (/.f64 4/3 x)))
(+.f64 (*.f64 31/11340 (pow.f64 x 5)) (+.f64 (*.f64 7/270 (pow.f64 x 3)) (+.f64 (*.f64 2/9 x) (*.f64 4/3 (/.f64 1 x)))))
(fma.f64 31/11340 (pow.f64 x 5) (fma.f64 7/270 (pow.f64 x 3) (fma.f64 2/9 x (/.f64 4/3 x))))
(fma.f64 31/11340 (pow.f64 x 5) (fma.f64 7/270 (pow.f64 x 3) (fma.f64 x 2/9 (/.f64 4/3 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 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) 1)
(/.f64 4/3 (sin.f64 x))
(*.f64 4/3 (/.f64 1 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 4/3 (sin.f64 x)) 1)
(/.f64 4/3 (sin.f64 x))
(*.f64 1 (/.f64 4/3 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 4/3 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2)))
(*.f64 (/.f64 1 (sin.f64 x)) 4/3)
(/.f64 4/3 (sin.f64 x))
(*.f64 -4/3 (/.f64 -1 (sin.f64 x)))
(/.f64 4/3 (sin.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 4/3 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 4/3 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 4/3 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 -1 (sin.f64 x)) -4/3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (/.f64 4/3 (sin.f64 x)) 1)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) 2)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3) 1/3)
(/.f64 4/3 (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) 3/4) -1)
(/.f64 4/3 (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 2))
(fabs.f64 (/.f64 4/3 (sin.f64 x)))
(log.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4/3 (sin.f64 x)))))
(/.f64 4/3 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 4/3 (sin.f64 x)) 3))
(/.f64 4/3 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(exp.f64 (log.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 4/3 (sin.f64 x))))
(/.f64 4/3 (sin.f64 x))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (/.f64 4/3 (sin.f64 x)) (*.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x))) (/.f64 4/3 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4/3 (sin.f64 x)))) (-.f64 1 (*.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (cos.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (sin.f64 x) (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 4/3 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 4/3 (/.f64 (*.f64 (sin.f64 x) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (sin.f64 x) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (sin.f64 x)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 1 (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/4) (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 1 (*.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (-.f64 1 (cos.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x)))))
(/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 x) 3/4))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 4/3 (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 3/4) (sqrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/4)) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (+.f64 1 (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) (*.f64 (sin.f64 x) 3/4))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 4) (*.f64 (sin.f64 x) (*.f64 3/4 (+.f64 1 (cos.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (*.f64 (sin.f64 x) 3/4) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/4)) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (*.f64 (sin.f64 x) 3/4) (cbrt.f64 (-.f64 1 (cos.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (sin.f64 x))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (/.f64 (sin.f64 x) 1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (+.f64 1 (cos.f64 x)))))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4)) 1))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (sin.f64 x) 3/4) (/.f64 1 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (*.f64 (sin.f64 x) 3/4) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) 1))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 -4/3 (/.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 -4/3 (/.f64 (*.f64 (+.f64 1 (cos.f64 x)) (neg.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 -4/3 (/.f64 (*.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))) (neg.f64 (sin.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
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(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 4/3)))
(/.f64 (sqrt.f64 4/3) (/.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))))
(/.f64 (*.f64 (sqrt.f64 -4/3) (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x))))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (/.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 -4/3)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (/.f64 4/3 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -4/3))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (cbrt.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (/.f64 x 2)))) 2))
(/.f64 (*.f64 (*.f64 4/3 (pow.f64 (sin.f64 x) 2)) (/.f64 1 (sin.f64 x))) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 4/3 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (/.f64 1 (sin.f64 x))) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 (sin.f64 x) 3/4))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/4)) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))) (cbrt.f64 (*.f64 (sin.f64 x) 3/4)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x))) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 1 (cos.f64 x)))) (sqrt.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (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 4/3 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 1 (cos.f64 x)))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) 1) (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.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 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (pow.f64 (cos.f64 x) 3))) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))) (cbrt.f64 (+.f64 1 (fma.f64 (cos.f64 x) (cos.f64 x) (cos.f64 x)))))
(/.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (/.f64 4/3 (sin.f64 x)) (/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) 1) (neg.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x))))) (cbrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) -1) (sin.f64 x))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -4/3) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) 1) (sqrt.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 4/3 (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (/.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))
(*.f64 (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (/.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (fabs.f64 (cbrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (sqrt.f64 (sin.f64 x)) (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) 1) (cbrt.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 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 (/.f64 4/3 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (/.f64 (/.f64 4/3 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 1 (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 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 (/.f64 (-.f64 1 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))) (/.f64 (/.f64 4/3 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) 1) (neg.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (neg.f64 (sqrt.f64 (sin.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (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 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) -1) (sin.f64 x))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (sqrt.f64 (sin.f64 x)))) (sqrt.f64 (sin.f64 x)))
(/.f64 (-.f64 1 (cos.f64 x)) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 4/3 (sqrt.f64 (sin.f64 x)))))
(*.f64 (/.f64 4/3 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (neg.f64 (*.f64 4/3 (-.f64 1 (cos.f64 x)))) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2))) (cbrt.f64 (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 1)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 2)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (cbrt.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))) 3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(pow.f64 (pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 3) 1/3)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 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 (pow.f64 (exp.f64 (/.f64 4/3 (sin.f64 x))) (-.f64 1 (cos.f64 x))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))) 3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (/.f64 4/3 (sin.f64 x)) 3)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (log.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(log1p.f64 (expm1.f64 (*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
0.3b
(/.f64 (sin.f64 x) 8/3)
1.6b
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1844×associate-*l/
1380×associate-/r*
1216×associate-/l*
624×associate-/r/
288×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01333
128429
2363629
Stop Event
1×node limit
Counts
1 → 60
Calls
Call 1
Inputs
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
Outputs
((#(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 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))))) (#(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 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)))) (#(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 -1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) -3/8))))) (#(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 1 (sin.f64 x)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.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)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 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 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (neg.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -1) (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (sin.f64 x) 3/8)) (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) (neg.f64 (neg.f64 (sin.f64 x)))) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (-.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 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (-.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) -3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))))))

simplify58.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1642×associate-/l*
1160×times-frac
890×associate-/r*
854×*-commutative
848×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02172900
15932796
222532788
Stop Event
1×node limit
Counts
72 → 102
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 (+.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 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))) 1)
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.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 1 (*.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 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.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 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.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 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) -3/8))
(*.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 1 (sin.f64 x)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (sin.f64 x))) -8/3)
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (sqrt.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)) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) 8/3))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -1) (neg.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) -1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 1) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 8/3))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) 1) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 8/3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (neg.f64 (sin.f64 x)))) 8/3)
(*.f64 (/.f64 1 (/.f64 (*.f64 (sin.f64 x) 3/8) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2))) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 (/.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x)))) -8/3)
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (-.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 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 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 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3))
(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 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) -3/8)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(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))
(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)))))
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 (+.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 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 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 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.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 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 1 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)) 8/3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 -1/2 (cos.f64 x) 1/2))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (/.f64 1 (sin.f64 x)) -3/8))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 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))))
(*.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 1 (sin.f64 x)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 8/3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) 3/8))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (/.f64 8/3 (sin.f64 x)))))
(/.f64 (*.f64 1 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2))
(*.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))
(*.f64 (/.f64 -1 (sin.f64 x)) (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) -8/3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.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 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.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)) 3/8))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sin.f64 x)) 8/3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (sqrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8))))
(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)))
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
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(/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)) 2) (*.f64 (sin.f64 x) 3/8)) (cbrt.f64 (fma.f64 -1/2 (cos.f64 x) 1/2)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (neg.f64 (neg.f64 (sin.f64 x)))) 8/3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
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(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
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(*.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (/.f64 8/3 (sin.f64 x))) (-.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 1/4 (*.f64 -1/4 (pow.f64 (cos.f64 x) 2)))) (-.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8))) (+.f64 1/4 (fma.f64 1/4 (pow.f64 (cos.f64 x) 2) (*.f64 (cos.f64 x) -1/4))))
(*.f64 (*.f64 (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (+.f64 1/8 (*.f64 1/8 (pow.f64 (cos.f64 x) 3)))) (/.f64 8/3 (sin.f64 x))) (+.f64 1/4 (fma.f64 (cos.f64 x) -1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (/.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 (cos.f64 x) (+.f64 -1/4 (*.f64 (cos.f64 x) 1/4)))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (-.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x)))))) (+.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (*.f64 -1/4 (cos.f64 x))))
(*.f64 (/.f64 (*.f64 (/.f64 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 (cos.f64 x) -1/4)))
(*.f64 (/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8)) (-.f64 1/16 (*.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))) (-.f64 1/4 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x)))))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (-.f64 1/16 (*.f64 1/16 (*.f64 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))))) (+.f64 1/4 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) -1/4) -1/4))))
(*.f64 (/.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 (cos.f64 x) 3) -1/8)) (/.f64 8/3 (sin.f64 x))) (+.f64 1/64 (pow.f64 (-.f64 (*.f64 1/4 (pow.f64 (cos.f64 x) 2)) (*.f64 -1/4 (cos.f64 x))) 3))) (+.f64 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 (/.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 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 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (+.f64 1/64 (pow.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) 3))) (/.f64 8/3 (sin.f64 x))) (fma.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) (+.f64 (*.f64 1/4 (+.f64 (pow.f64 (cos.f64 x) 2) (cos.f64 x))) -1/4) 1/16))
(/.f64 (/.f64 8/3 (sin.f64 x)) (/.f64 (+.f64 1/64 (pow.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 1/4) 1/4)) 3)) (*.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -1/8 1/8) (fma.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 1/4) 1/4)) (+.f64 -1/4 (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) 1/4) 1/4))) 1/16))))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 -8/3))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 x) 3/8)))) (sqrt.f64 -8/3))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) (sqrt.f64 (neg.f64 (sin.f64 x))))) (sqrt.f64 -8/3))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) (/.f64 (sqrt.f64 -8/3) (sqrt.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 -8/3))
(*.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)) (/.f64 (cbrt.f64 -8/3) (cbrt.f64 (neg.f64 (sin.f64 x)))))
(pow.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 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 2)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))) 3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3) 1/3)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 3/8) -1)
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(neg.f64 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (*.f64 (sin.f64 x) -3/8)))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 2))
(fabs.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))
(fabs.f64 (*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x))) 3))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (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))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (sin.f64 x)))
(*.f64 (fma.f64 -1/2 (cos.f64 x) 1/2) (/.f64 8/3 (sin.f64 x)))

eval283.0ms (2.9%)

Compiler

Compiled 15573 to 10124 computations (35% saved)

prune160.0ms (1.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New8312833
Fresh347
Picked011
Done066
Total83413847
Error
0b
Counts
847 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
▶47.2b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
✓27.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
▶28.0b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓27.9b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
✓30.8b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
✓0.1b
(/.f64 (neg.f64 (tan.f64 (/.f64 x 2))) -3/4)
✓60.6b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
39.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
✓28.0b
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
▶0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
✓33.9b
(*.f64 x 2/3)
▶0.4b
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
Compiler

Compiled 185 to 155 computations (16.2% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 21 computations (19.2% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite75.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
124034
2275234
Stop Event
1×node limit
Counts
2 → 156
Calls
Call 1
Inputs
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(/.f64 3/4 (tan.f64 (/.f64 x 2)))
Outputs
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simplify87.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
03926616
18995974
227715974
Stop Event
1×node limit
Counts
180 → 260
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(/.f64 3/2 x)
(+.f64 (*.f64 -1/8 x) (*.f64 3/2 (/.f64 1 x)))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 x))))
(+.f64 (*.f64 -1/8 x) (+.f64 (*.f64 -1/480 (pow.f64 x 3)) (+.f64 (*.f64 3/2 (/.f64 1 x)) (*.f64 -1/20160 (pow.f64 x 5)))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/4 (/.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
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(/.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)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 3/4)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 3/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 -3/4)) (cbrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (pow.f64 3/4 -1/2) (pow.f64 3/4 -1/2)) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
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(*.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)))

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)
✓30.5b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
Compiler

Compiled 41 to 26 computations (36.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite63.0ms (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 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x 2/3)) 2) 0)))))

simplify69.0ms (0.7%)

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))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
118917
2215217
Stop Event
1×node limit
Counts
1 → 15
Calls
Call 1
Inputs
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))))

simplify58.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
069663
1159663
2416663
32316663
46178663
Stop Event
1×node limit
Counts
27 → 32
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (*.f64 x 1/18) 2/3) (*.f64 1/180 (pow.f64 x 5)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3)))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/18) 2/3) (*.f64 17/30240 (pow.f64 x 7))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 -4/3 (cos.f64 x))
✓0.2b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓1.7b
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite79.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
123347
2294247
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(+.f64 4/3 (*.f64 -4/3 (cos.f64 x)))
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
(*.f64 -4/3 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (cos.f64 x) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/9 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)) (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/3 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4/3 (cos.f64 x) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))))))

simplify95.0ms (1%)

Algorithm
1×egg-herbie
Rules
700×distribute-lft-neg-out
690×associate-*r*
664×distribute-rgt-neg-out
662×distribute-lft-neg-in
606×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04036719
110676139
251435779
Stop Event
1×node limit
Counts
163 → 231
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(*.f64 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)))))
-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 (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))
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(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (cbrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) (sin.f64 x)) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))) (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2)))) (fma.f64 -4/3 (cos.f64 x) 4/3))
(*.f64 (/.f64 (/.f64 (+.f64 16/9 (*.f64 -16/9 (pow.f64 (cos.f64 x) 2))) (sin.f64 x)) (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))) (+.f64 16/9 (*.f64 (cos.f64 x) (+.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (-.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))) (-.f64 16/9 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9))))
(*.f64 (/.f64 (/.f64 (+.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x)) (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 3))) (+.f64 256/81 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) (-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 16/9 (cos.f64 x)) -16/9)) 16/9))))
(pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -4/3 (cos.f64 x) 4/3)) -1)
(neg.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) 1)
(pow.f64 (*.f64 -4/3 (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 -4/3 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))
Outputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
(*.f64 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))))
-4/3
(-.f64 (*.f64 2/3 (pow.f64 x 2)) 4/3)
(fma.f64 2/3 (*.f64 x x) -4/3)
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 -1/18 (pow.f64 x 4))) 4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4))) -4/3)
(fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(-.f64 (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/540 (pow.f64 x 6)))) 4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 6)))) -4/3)
(+.f64 (fma.f64 2/3 (*.f64 x x) (*.f64 1/540 (pow.f64 x 6))) (fma.f64 -1/18 (pow.f64 x 4) -4/3))
(-.f64 (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 (+.f64 4/3 (*.f64 4/3 (cos.f64 x)))) (/.f64 16/9 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.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 16/9 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.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 16/9 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.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 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 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (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 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 16/9)) 3)))
(*.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 16/9 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
(-.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 16/9 (/.f64 (+.f64 4/3 (*.f64 4/3 (cos.f64 x))) (pow.f64 (cos.f64 x) 2))))
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(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (cos.f64 x) 4/3)) 2) 1))
(/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sin.f64 x))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (/.f64 1 (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) 1) (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 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) 1) (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 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) 1) (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 (/.f64 (fma.f64 -4/3 (cos.f64 x) 4/3) (cbrt.f64 (sin.f64 x))) 1) (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 (*.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 (*.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 16/9 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) -16/9))) (/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (*.f64 (-.f64 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (sin.f64 x))))
(*.f64 (fma.f64 (cos.f64 x) (fma.f64 (cos.f64 x) 16/9 -16/9) 16/9) (/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) -16/9 16/9) (*.f64 (+.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 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 64/27 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27)) (*.f64 (+.f64 4096/729 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 16/9 (cos.f64 x) 16/9)) 3)) (sin.f64 x))))
(/.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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x)))) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 -4/3 (cos.f64 x)) 1)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 -4/3 (cos.f64 x))) 2)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 -4/3 (cos.f64 x))) 3)
(*.f64 -4/3 (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 -4/3) (cos.f64 x)))
(*.f64 -4/3 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4/3 (cos.f64 x)))))
(*.f64 -4/3 (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) -64/27))
(expm1.f64 (log1p.f64 (*.f64 -4/3 (cos.f64 x))))
(*.f64 -4/3 (cos.f64 x))
(exp.f64 (log.f64 (*.f64 -4/3 (cos.f64 x))))
(*.f64 -4/3 (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 -4/3 (cos.f64 x))))
(*.f64 -4/3 (cos.f64 x))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cos.f64 (*.f64 x 1/2))
✓0.2b
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
✓0.4b
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
976×*-commutative
822×associate-*r/
784×associate-/r*
618×swap-sqr
614×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
122639
2269839
Stop Event
1×node limit
Counts
3 → 184
Calls
Call 1
Inputs
(*.f64 4/3 (/.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)))
(cos.f64 (*.f64 x 1/2))
Outputs
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simplify95.0ms (1%)

Algorithm
1×egg-herbie
Rules
1172×distribute-rgt-in
1162×distribute-lft-in
1104×times-frac
1074×associate-/l*
796×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04646328
111176164
257266164
Stop Event
1×node limit
Counts
220 → 255
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)))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/384 (pow.f64 x 4))))
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(*.f64 (/.f64 -1 (cos.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) 1) (/.f64 (cbrt.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) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 1 (/.f64 (cos.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 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -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)
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) 1))
(neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 -1 (cos.f64 (*.f64 x 1/2)))))
(neg.f64 (*.f64 1 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))))
(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))))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2)))) 1)
(*.f64 (cos.f64 (*.f64 x 1/2)) 1)
(*.f64 1 (cos.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/6))
(pow.f64 (cos.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/3)
(neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x 1/2))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 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 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 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 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 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 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (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 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)))
(+.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))))
(/.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)))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(fma.f64 -1/8 (*.f64 x x) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (*.f64 1/384 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (*.f64 1/384 (pow.f64 x 4)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/384 (pow.f64 x 4) 1))
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/46080 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (fma.f64 -1/46080 (pow.f64 x 6) (*.f64 1/384 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (*.f64 x x) 1) (fma.f64 1/384 (pow.f64 x 4) (*.f64 -1/46080 (pow.f64 x 6))))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(cos.f64 (*.f64 1/2 x))
(cos.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 1 (tan.f64 (*.f64 x 1/2))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cos.f64 (*.f64 x 1/2)) 4/3))
(*.f64 4/3 (/.f64 (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 (tan.f64 (*.f64 x 1/2))) 1)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 1 (/.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (cos.f64 (*.f64 x 1/2)) 1))
(*.f64 4/3 (/.f64 (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 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))) 4/3))
(*.f64 4/3 (/.f64 (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 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cos.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2)))))))
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(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(/.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) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.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 (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))
(tan.f64 (*.f64 x 1/2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3/2))
(tan.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/6))
(tan.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1/2) (pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1/2))
(tan.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))
(pow.f64 (/.f64 1 (tan.f64 (*.f64 x 1/2))) -1)
(tan.f64 (*.f64 x 1/2))
(neg.f64 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))))
(tan.f64 (*.f64 x 1/2))
(neg.f64 (/.f64 (neg.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)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2)))) 1))
(tan.f64 (*.f64 x 1/2))
(neg.f64 (*.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)))
(neg.f64 (*.f64 1 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))))
(tan.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (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))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2)))) 1)
(cos.f64 (*.f64 x 1/2))
(*.f64 (cos.f64 (*.f64 x 1/2)) 1)
(cos.f64 (*.f64 x 1/2))
(*.f64 1 (cos.f64 (*.f64 x 1/2)))
(cos.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))
(cos.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (neg.f64 (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (neg.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))))
(cos.f64 (*.f64 x 1/2))
(*.f64 -1 (neg.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))) (cbrt.f64 (neg.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (sqrt.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) (sqrt.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))))))
(cos.f64 (*.f64 x 1/2))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3/2) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3/2))
(cos.f64 (*.f64 x 1/2))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/6) (pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/6))
(cos.f64 (*.f64 x 1/2))
(pow.f64 (cos.f64 (*.f64 x 1/2)) 1)
(cos.f64 (*.f64 x 1/2))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 x 1/2))) 2)
(cos.f64 (*.f64 x 1/2))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x 1/2))) 3)
(cos.f64 (*.f64 x 1/2))
(pow.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3) 1/3)
(cos.f64 (*.f64 x 1/2))
(neg.f64 (neg.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 2))
(fabs.f64 (cos.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 x 1/2)))))
(cos.f64 (*.f64 x 1/2))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 x 1/2)) 3))
(cos.f64 (*.f64 x 1/2))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(exp.f64 (log.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 x 1/2))))
(cos.f64 (*.f64 x 1/2))

eval366.0ms (3.8%)

Compiler

Compiled 16873 to 13378 computations (20.7% saved)

prune184.0ms (1.9%)

Pruning

30 alts after pruning (22 fresh and 8 done)

PrunedKeptTotal
New91321934
Fresh011
Picked011
Done4711
Total91730947
Error
0b
Counts
947 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
33.9b
(pow.f64 (/.f64 3/2 x) -1)
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))
56.6b
(/.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))
47.2b
(/.f64 (-.f64 (/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) 0) (-.f64 (*.f64 x 2/3) 0))
47.7b
(/.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 3/2 x) (/.f64 3/2 x))) 0) (-.f64 (*.f64 x 2/3) 0))
62.6b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) 0))
✓27.9b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) 3/4))
✓28.0b
(/.f64 (+.f64 4/3 (*.f64 -4/3 (cos.f64 x))) (sin.f64 x))
✓27.9b
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
0.3b
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
33.9b
(/.f64 8/27 (/.f64 4/9 x))
✓60.6b
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
39.9b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
47.2b
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
33.9b
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
47.2b
(*.f64 (/.f64 3/2 x) (*.f64 x (*.f64 x 4/9)))
✓28.0b
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
47.2b
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
47.2b
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
47.2b
(*.f64 (*.f64 x x) (*.f64 4/9 (/.f64 3/2 x)))
34.1b
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
✓0.4b
(*.f64 (tan.f64 (/.f64 x 2)) 4/3)
34.0b
(*.f64 x (*.f64 (*.f64 x 4/9) (/.f64 3/2 x)))
✓33.9b
(*.f64 x 2/3)
47.2b
(*.f64 3/2 (/.f64 (*.f64 x (*.f64 x 4/9)) x))
✓0.4b
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
0.4b
(*.f64 4/3 (neg.f64 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))))
47.2b
(*.f64 4/9 (/.f64 (*.f64 x x) (*.f64 x 2/3)))
50.1b
(fabs.f64 (*.f64 x 2/3))
Compiler

Compiled 339 to 264 computations (22.1% saved)

regimes63.0ms (0.6%)

Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.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 3/2 x) (*.f64 x (*.f64 x 4/9)))
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) 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 (*.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))
(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 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(*.f64 4/3 (neg.f64 (/.f64 1 (/.f64 -1 (tan.f64 (*.f64 x 1/2))))))
(pow.f64 (/.f64 3/4 (tan.f64 (/.f64 x 2))) -1)
(*.f64 (/.f64 4/3 (sin.f64 x)) (-.f64 1 (cos.f64 x)))
(*.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) 3/4)) (sin.f64 x))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (/.f64 (sin.f64 x) 8/3))
(/.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 (/.f64 1 (sin.f64 x)) -3/8) (-.f64 -1/2 (*.f64 -1/2 (cos.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3) 3))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (/.f64 x 2)) 4/3))) 1)
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(/.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)) 3/8)
(/.f64 1 (/.f64 (sin.f64 x) (/.f64 (-.f64 (cos.f64 0) (cos.f64 x)) 3/4)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) 8/3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.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) 8/3) (sin.f64 (*.f64 x 1/2))))
(/.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 (/.f64 8/3 (/.f64 1 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 8/3)) 2) (/.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

2 calls:

24.0ms
x
23.0ms
(/.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 641 to 462 computations (27.9% saved)

regimes19.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.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 3/2 x) (*.f64 x (*.f64 x 4/9)))
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) 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 (*.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))
(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:

12.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 247 to 174 computations (29.6% saved)

regimes19.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.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 3/2 x) (*.f64 x (*.f64 x 4/9)))
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) 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 (*.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))
(pow.f64 (/.f64 3/2 x) -1)
Outputs
(pow.f64 (/.f64 3/2 x) -1)
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
33.9b1x
Compiler

Compiled 235 to 164 computations (30.2% saved)

regimes16.0ms (0.2%)

Accuracy

Total -29.5b remaining (-87%)

Threshold costs -29.5b (-87%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 (/.f64 (*.f64 x x) x) 2/3)
(-.f64 (+.f64 (*.f64 x 2/3) 1) 1)
(*.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 3/2 x) (*.f64 x (*.f64 x 4/9)))
(*.f64 (/.f64 x x) (/.f64 (*.f64 x 4/9) 2/3))
(*.f64 (*.f64 x 2/3) (*.f64 (*.f64 x 2/3) (/.f64 3/2 x)))
(*.f64 (*.f64 (*.f64 x x) -4/9) (/.f64 1 (*.f64 x -2/3)))
(*.f64 (/.f64 1 x) (/.f64 (*.f64 x (*.f64 x 4/9)) 2/3))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (/.f64 (*.f64 x 2/3) (/.f64 3/2 x)) 0) (-.f64 (*.f64 x 2/3) 0))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 4/9) 0) (-.f64 (-.f64 (+.f64 (*.f64 x 2/3) 1) 1) 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 (*.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))
Outputs
(/.f64 8/27 (/.f64 4/9 x))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
33.9b1x
Compiler

Compiled 230 to 160 computations (30.4% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02467
12767
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)
(pow.f64 (/.f64 3/2 x) -1)
(/.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)
(pow.f64 (/.f64 3/2 x) -1)
(/.f64 8/27 (/.f64 4/9 x))
(*.f64 x 2/3)
Compiler

Compiled 30 to 25 computations (16.7% saved)

soundness100.0ms (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)

end30.0ms (0.3%)

Compiler

Compiled 26 to 21 computations (19.2% saved)

Profiling

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