Details

Time bar (total: 9.4s)

analyze500.0ms (5.3%)

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

Compiled 18 to 15 computations (16.7% saved)

sample3.4s (35.8%)

Results
1.6s2164×body1024valid
1.2s5084×body256valid
520.0ms999×body512valid
10.0msbody2048valid
Bogosity

preprocess17.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
12022
23122
34422
45222
56122
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))
Compiler

Compiled 18 to 15 computations (16.7% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
12022
23122
34422
45222
56122
Stop Event
saturated
Counts
1 → 5
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 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))

eval2.0ms (0%)

Compiler

Compiled 73 to 54 computations (26% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New145
Fresh011
Picked000
Done000
Total156
Error
0.3b
Counts
6 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
14.7b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
0.5b
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
0.5b
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
14.7b
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
Compiler

Compiled 62 to 50 computations (19.4% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
0.4b
(/.f64 8/3 (sin.f64 x))
14.5b
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
Compiler

Compiled 40 to 28 computations (30% saved)

series22.0ms (0.2%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
3.0ms
x
@inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
2.0ms
x
@0
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
2.0ms
x
@0
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@inf
(/.f64 8/3 (sin.f64 x))
Compiler

Compiled 628 to 521 computations (17% saved)

rewrite61.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
620×prod-diff_binary64
501×log-prod_binary64
283×pow-prod-down_binary64
271×pow2_binary64
190×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
122035
2287835
Stop Event
node limit
Counts
4 → 131
Calls
Call 1
Inputs
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 8/3 (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2)))
(sin.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))))) (#(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 8/3 (/.f64 (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 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (*.f64 2 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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 pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 8/3 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/3 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) 3/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))))) (#(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 (sin.f64 (*.f64 x 1/2)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)))) (#(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 (sqrt.f64 (exp.f64 (-.f64 1 (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 (sin.f64 (*.f64 x 1/2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))))))
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simplify77.0ms (0.8%)

Algorithm
egg-herbie
Rules
498×distribute-rgt-in_binary64
477×unswap-sqr_binary64
321×log-prod_binary64
216×div-sub_binary64
188×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03741929
18571717
233141555
Stop Event
node limit
Counts
163 → 202
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 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 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)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(/.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) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(/.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) -8/3) (*.f64 2 (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)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) (/.f64 8/3 (sin.f64 x))) 2)
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) -8/3) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3)
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) -1)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))) 2))
(+.f64 0 (/.f64 8/3 (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x)))) 1)
(*.f64 8/3 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) 1)
(*.f64 1 (/.f64 8/3 (sin.f64 x)))
(*.f64 (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 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sqrt.f64 (/.f64 8/3 (sin.f64 x))))
(*.f64 -8/3 (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) 8/3)
(pow.f64 (/.f64 8/3 (sin.f64 x)) 1)
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) 2)
(pow.f64 (*.f64 (sin.f64 x) 3/8) -1)
(pow.f64 (/.f64 (*.f64 (sin.f64 x) 3/8) 1) -1)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 x) -2)))
(log.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) -1))
(+.f64 1/2 (neg.f64 (*.f64 1/2 (cos.f64 x))))
(+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))
(+.f64 0 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))))
(-.f64 1/2 (*.f64 1/2 (cos.f64 x)))
(-.f64 1/2 (/.f64 (cos.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 1)
(/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 x))))
(/.f64 (-.f64 1 (cos.f64 x)) 2)
(/.f64 (neg.f64 (-.f64 1 (cos.f64 x))) -2)
(/.f64 (-.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 x)) 3)) (+.f64 1/4 (+.f64 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2) (*.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/2 (cos.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 x) 1) 2))
(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 (sin.f64 (*.f64 x 1/2)) 3) 2/3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4) 1/2)
(pow.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 6)
(pow.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 4)
(pow.f64 (/.f64 2 (-.f64 1 (cos.f64 x))) -1)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6))
(expm1.f64 (log1p.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 2))
(exp.f64 (*.f64 (log.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) 3))
(+.f64 0 (sin.f64 x))
(+.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(*.f64 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 8/3 x)
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x))))
(fma.f64 4/9 x (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x)))
(+.f64 (*.f64 4/9 x) (+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 7/135 (pow.f64 x 3)) (*.f64 8/3 (/.f64 1 x)))))
(fma.f64 4/9 x (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 5) 31/5670 (fma.f64 (pow.f64 x 3) 7/135 (/.f64 8/3 x))))
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 1/4 (*.f64 x x) (*.f64 -1/48 (pow.f64 x 4)))
(fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/4 (*.f64 x x)))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6))))
(+.f64 (*.f64 -1/80640 (pow.f64 x 8)) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (+.f64 (*.f64 1/1440 (pow.f64 x 6)) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 1/1440 (pow.f64 x 6) (*.f64 -1/48 (pow.f64 x 4)))))
(fma.f64 -1/80640 (pow.f64 x 8) (fma.f64 1/4 (*.f64 x x) (fma.f64 -1/48 (pow.f64 x 4) (*.f64 1/1440 (pow.f64 x 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 x 1/2)) 2)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 7) -1/5040 (fma.f64 (pow.f64 x 5) 1/120 x)))
(+.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) (/.f64 8/3 (sin.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 1)
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 8/3 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 -8/3 (-.f64 1 (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 8/3) (*.f64 2 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(/.f64 (*.f64 (-.f64 1 (cos.f64 x)) 1) (*.f64 2 (*.f64 (sin.f64 x) 3/8)))
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(fma.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 2))
(*.f64 2 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 2 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(fma.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 2))
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))
(sin.f64 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))
(sin.f64 x)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.4b
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
0.4b
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
0.4b
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 42 to 30 computations (28.6% saved)

series43.0ms (0.5%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
29.0ms
x
@0
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@inf
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
2.0ms
x
@-inf
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
2.0ms
x
@inf
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@-inf
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 532 to 447 computations (16% saved)

rewrite62.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
544×log-prod_binary64
418×exp-prod_binary64
290×pow-prod-down_binary64
269×pow2_binary64
198×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
120940
2266540
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 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((x pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 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(sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 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simplify89.0ms (0.9%)

Algorithm
egg-herbie
Rules
522×distribute-rgt-in_binary64
502×distribute-lft-in_binary64
445×associate-/r*_binary64
348×log-prod_binary64
205×sqr-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03552567
18612501
228262501
Stop Event
node limit
Counts
158 → 191
Calls
Call 1
Inputs
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 -1/241920 (pow.f64 x 7)) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3)))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 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 0 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x)))
(*.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(*.f64 1 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2) (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) (*.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 8/3 (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x)))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 8/3 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 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)) (sqrt.f64 (sin.f64 x))) (/.f64 8/3 (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(pow.f64 (/.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (sqrt.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(neg.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 x))))
(exp.f64 (-.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(+.f64 0 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.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 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1/2)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(sqrt.f64 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(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)))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(+.f64 0 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 1)
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (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)))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (-.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (*.f64 (log.f64 (sin.f64 x)) 1)))
Outputs
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(fma.f64 1/6 (*.f64 x x) 4/3)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (*.f64 5/288 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (fma.f64 5/288 (pow.f64 x 4) (*.f64 61/34560 (pow.f64 x 6))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 -1/18 (pow.f64 x 3) (*.f64 4/3 x))
(+.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 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/1440 (pow.f64 x 5))))
(+.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 -1/18 (pow.f64 x 3)))))
(fma.f64 4/3 x (fma.f64 -1/241920 (pow.f64 x 7) (fma.f64 -1/18 (pow.f64 x 3) (*.f64 1/1440 (pow.f64 x 5)))))
(*.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 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/180))))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 7) 17/30240 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 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)))
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(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)) 3)) 1/3))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 3))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x)))) 2))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))) 1) 1))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(exp.f64 (-.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(/.f64 8/3 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(*.f64 8/3 (/.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.2b
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
0.2b
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
0.4b
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 40 to 28 computations (30% saved)

series12.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@0
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@inf
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
2.0ms
x
@-inf
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
2.0ms
x
@inf
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 356 to 296 computations (16.9% saved)

rewrite87.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
599×log-prod_binary64
470×exp-prod_binary64
282×pow-prod-down_binary64
279×pow2_binary64
200×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01033
121528
2293128
Stop Event
node limit
Counts
2 → 114
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(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 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 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2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))))))

simplify66.0ms (0.7%)

Algorithm
egg-herbie
Rules
592×fma-def_binary64
429×unswap-sqr_binary64
416×associate-/l/_binary64
392×associate-/r/_binary64
296×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03282551
18132503
225392423
Stop Event
node limit
Counts
138 → 173
Calls
Call 1
Inputs
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 0 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1)
(*.f64 (sin.f64 x) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(*.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) -2) (/.f64 (sin.f64 x) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(+.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(*.f64 1 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (/.f64 8/3 (/.f64 1 (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 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sin.f64 x)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 1 (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))) (/.f64 8/3 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 8/3 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) -2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))) (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -2))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (/.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 8/3 (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1/2) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (/.f64 (sin.f64 x) (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) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) 1) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)))
(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 (sin.f64 (*.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
Outputs
2
(+.f64 2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 2)
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x 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)))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/23040 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2)) (*.f64 -1/23040 (pow.f64 x 6)))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/23040 (pow.f64 x 6) 2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x)))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))) 2)))
(sqrt.f64 (/.f64 64/9 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) 512/27) (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 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) 512/27)))
(cbrt.f64 (*.f64 (/.f64 512/27 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1/3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) 8/3) (pow.f64 (sin.f64 (*.f64 x 1/2)) -2))) -1))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(/.f64 8/3 (/.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) 1/2)))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.2b
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.4b
(*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2)))
14.5b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 54 to 43 computations (20.4% saved)

series16.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@inf
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
2.0ms
x
@-inf
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
2.0ms
x
@inf
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
2.0ms
x
@-inf
(*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
Compiler

Compiled 561 to 476 computations (15.2% saved)

rewrite89.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
583×log-prod_binary64
452×exp-prod_binary64
305×pow2_binary64
296×pow-prod-down_binary64
215×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
125138
2299438
Stop Event
node limit
Counts
3 → 109
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
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simplify66.0ms (0.7%)

Algorithm
egg-herbie
Rules
956×fma-def_binary64
573×times-frac_binary64
450×distribute-rgt-in_binary64
442×distribute-lft-in_binary64
431×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03332568
18262485
228172349
Stop Event
node limit
Counts
145 → 208
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 0 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 1)
(*.f64 8/3 (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x)))
(*.f64 8/3 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (/.f64 1 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (/.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)) (/.f64 1 (sin.f64 x))))
(*.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(*.f64 1 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (*.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) 1) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (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 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 8/3 (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 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.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 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))) (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (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 (pow.f64 (sin.f64 x) -1/2) (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4))) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1)
(pow.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 2)) (cbrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (sqrt.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))
(neg.f64 (/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2))
(log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))
(cbrt.f64 (pow.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(log1p.f64 (expm1.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(exp.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 8/3 (/.f64 (sin.f64 x) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1) 1))
(+.f64 0 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))))
(-.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 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 64/9) 1/2)
(pow.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(sqrt.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) 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)))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(+.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
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 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 4/3 x)
(*.f64 x 4/3)
(+.f64 (*.f64 4/3 x) (*.f64 -1/18 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 4/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (*.f64 4/3 x) (+.f64 (*.f64 1/1440 (pow.f64 x 5)) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 4/3 x (fma.f64 1/1440 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (*.f64 (pow.f64 x 5) 1/1440)))
(fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 4/3 (*.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))))
(fma.f64 (pow.f64 x 7) -1/241920 (fma.f64 (pow.f64 x 3) -1/18 (fma.f64 x 4/3 (*.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)))
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(sqrt.f64 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))) 64/9))
(sqrt.f64 (+.f64 32/9 (*.f64 64/9 (*.f64 (cos.f64 x) -1/2))))
(sqrt.f64 (*.f64 (fma.f64 (cos.f64 x) -1/2 1/2) 64/9))
(log.f64 (pow.f64 (exp.f64 8/3) (sin.f64 (*.f64 x 1/2))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1/3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1) 1))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(+.f64 0 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (fma.f64 (cos.f64 x) -1/2 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)) 1/2)
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6) 1/3)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2)
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))))) 2)) (cbrt.f64 (log.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))))) (sqrt.f64 (log.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))))) (sqrt.f64 (log.f64 (*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2)))))
(sqrt.f64 (*.f64 64/9 (pow.f64 (sin.f64 (*.f64 x 1/2)) 4)))
(log.f64 (pow.f64 (exp.f64 8/3) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(expm1.f64 (log1p.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(log1p.f64 (expm1.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 8/3 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(*.f64 8/3 (+.f64 1/2 (*.f64 -1/2 (cos.f64 x))))
(+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2)))
(*.f64 8/3 (fma.f64 (cos.f64 x) -1/2 1/2))

eval396.0ms (4.2%)

Compiler

Compiled 17499 to 12807 computations (26.8% saved)

prune197.0ms (2.1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New92518943
Fresh000
Picked101
Done303
Total92918947
Error
0b
Counts
947 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
33.4b
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
14.8b
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
14.7b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
28.3b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
28.4b
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
28.4b
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
47.8b
(/.f64 (*.f64 2/3 (*.f64 x x)) (sin.f64 x))
0.3b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
33.9b
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
14.7b
(*.f64 (/.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
47.8b
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
28.3b
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
47.2b
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
0.5b
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.5b
(*.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sin.f64 (*.f64 x 1/2)))
33.3b
(*.f64 x 2/3)
28.3b
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.3b
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Compiler

Compiled 460 to 374 computations (18.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 43 to 29 computations (32.6% saved)

series11.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
2.0ms
x
@-inf
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
2.0ms
x
@inf
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
2.0ms
x
@inf
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
2.0ms
x
@0
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
Compiler

Compiled 372 to 312 computations (16.1% saved)

rewrite59.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
553×log-prod_binary64
432×exp-prod_binary64
277×pow-prod-down_binary64
277×pow2_binary64
194×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
121434
2280134
Stop Event
node limit
Counts
2 → 92
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify58.0ms (0.6%)

Algorithm
egg-herbie
Rules
608×associate-/l*_binary64
528×associate-/r*_binary64
442×fma-def_binary64
337×associate-/r/_binary64
337×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02672330
16492257
219712253
Stop Event
node limit
Counts
116 → 160
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2))))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(+.f64 0 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 1)
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8))
(*.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(*.f64 1 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2)) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8)))
(*.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2) (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2))
(*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -3/8)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3/8) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) 3/8))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) -2) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)) (cbrt.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) -1/2) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))
(*.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) 1) (/.f64 (sin.f64 (*.f64 x 1/2)) (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))))
(pow.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2) 2)
(pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(neg.f64 (/.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 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (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 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) -1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1) 1))
(+.f64 0 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1)
(/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (sin.f64 x))))
(/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (neg.f64 (*.f64 3/8 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) 1) (sin.f64 (*.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 (neg.f64 (sin.f64 x)) 3/8) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 3/8 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)
(pow.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (sin.f64 x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(sqrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1) 1))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
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)
(fma.f64 x (*.f64 x -3/32) 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))
(fma.f64 1/512 (pow.f64 x 4) (fma.f64 x (*.f64 x -3/32) 3/4))
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(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (sin.f64 x))) -1)
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) 2)) (cbrt.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (sqrt.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))
(sqrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(expm1.f64 (log1p.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 1/3))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 3))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) 2))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1) 1))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.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)
1.0ms
x
@0
(*.f64 x 2/3)
1.0ms
x
@-inf
(*.f64 x 2/3)
Compiler

Compiled 60 to 48 computations (20% saved)

rewrite35.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
345×pow1_binary64
338×add-sqr-sqrt_binary64
329×*-un-lft-identity_binary64
321×add-log-exp_binary64
321×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
1804
28734
Stop Event
node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 x 2/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 x 2/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2/3)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 2/3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 2/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)))) (#(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 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 2/3)))) (sqrt.f64 (log.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2/3))) 2)) (cbrt.f64 (log.f64 (*.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 2/3))))) (#(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 (*.f64 8/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (*.f64 3 (log.f64 (*.f64 x 2/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 2/3))) 2))))))

simplify37.0ms (0.4%)

Algorithm
egg-herbie
Rules
459×times-frac_binary64
381×distribute-rgt-out_binary64
367×associate-*l/_binary64
333×associate-/l*_binary64
326×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079244
1189235
2573231
33001231
Stop Event
node limit
Counts
37 → 33
Calls
Call 1
Inputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(+.f64 (+.f64 1 (*.f64 x 2/3)) -1)
(+.f64 0 (*.f64 x 2/3))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2/3)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 2/3)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (pow.f64 (*.f64 x 2/3) 2) 1/2)
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x 2/3)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 2/3)))) (sqrt.f64 (log.f64 (*.f64 x 2/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2/3))) 2)) (cbrt.f64 (log.f64 (*.f64 x 2/3))))
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(fabs.f64 (*.f64 x 2/3))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 2/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 2/3))) 2))
Outputs
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(*.f64 2/3 x)
(+.f64 (+.f64 1 (*.f64 x 2/3)) -1)
(*.f64 2/3 x)
(+.f64 0 (*.f64 x 2/3))
(*.f64 2/3 x)
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 2)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) x))))
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 2/3 x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 x 2/3)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 x 2/3)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (*.f64 2/3 x)) 3) -1) (fma.f64 (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (*.f64 2/3 x)) (+.f64 1 (+.f64 1 (*.f64 2/3 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3)) (fma.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 1) (+.f64 (*.f64 2/3 x) 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 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
(*.f64 2/3 x)
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (pow.f64 (*.f64 x 2/3) 2) 1/2)
(*.f64 2/3 x)
(pow.f64 (*.f64 8/27 (pow.f64 x 3)) 1/3)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.f64 2/3 x)
(pow.f64 (E.f64) (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 2/3)))) (sqrt.f64 (log.f64 (*.f64 x 2/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 2/3 x)))) (sqrt.f64 (log.f64 (*.f64 2/3 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 2/3))) 2)) (cbrt.f64 (log.f64 (*.f64 x 2/3))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 2/3 x))) 2)) (cbrt.f64 (log.f64 (*.f64 2/3 x))))
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(*.f64 2/3 x)
(fabs.f64 (*.f64 x 2/3))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.f64 2/3 x)
(cbrt.f64 (*.f64 8/27 (pow.f64 x 3)))
(*.f64 2/3 x)
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 2/3))) 1/3))
(*.f64 2/3 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 2/3))) 3))
(*.f64 2/3 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 2/3))) 2))
(*.f64 2/3 x)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.4b
(/.f64 8/3 (sin.f64 x))
14.4b
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
Compiler

Compiled 28 to 17 computations (39.3% saved)

series8.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
2.0ms
x
@-inf
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
2.0ms
x
@0
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
Compiler

Compiled 192 to 159 computations (17.2% saved)

rewrite45.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
927×pow1_binary64
865×add-log-exp_binary64
865×log1p-expm1-u_binary64
865×expm1-log1p-u_binary64
849×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
119315
2234315
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8/3 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (*.f64 x (*.f64 x 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (*.f64 x (*.f64 x 1/4))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (*.f64 x 1/4)) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 x (*.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (*.f64 x (*.f64 x 1/4)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/4)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))))))

simplify43.0ms (0.5%)

Algorithm
egg-herbie
Rules
907×log-prod_binary64
790×log-div_binary64
567×fma-def_binary64
453×times-frac_binary64
410×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098535
1254532
21006454
35705454
Stop Event
node limit
Counts
35 → 45
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x 1/4))))
(/.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (*.f64 x (*.f64 x 1/4)))))
(/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (*.f64 x (*.f64 x 1/4))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x 1/4)) -8/3) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))) 3)
(pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 x (*.f64 x 1/4))))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (*.f64 x (*.f64 x 1/4)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/4)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(*.f64 x (fma.f64 1/9 (*.f64 x x) 2/3))
(+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5))))
(fma.f64 1/9 (pow.f64 x 3) (fma.f64 7/540 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 x (fma.f64 1/9 (*.f64 x x) 2/3) (*.f64 7/540 (pow.f64 x 5)))
(+.f64 (*.f64 31/22680 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (+.f64 (*.f64 7/540 (pow.f64 x 5)) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 7/540 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 2/3 x (fma.f64 1/9 (pow.f64 x 3) (*.f64 7/540 (pow.f64 x 5)))))
(fma.f64 31/22680 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 3) (fma.f64 7/540 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 7/540 (pow.f64 x 5) (fma.f64 31/22680 (pow.f64 x 7) (*.f64 x (fma.f64 1/9 (*.f64 x x) 2/3))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 (/.f64 2/3 (sin.f64 x)) (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 (/.f64 2/3 (sin.f64 x)) (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 (/.f64 2/3 (sin.f64 x)) (pow.f64 (/.f64 -1 x) -2))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 -1 x) -2) (sin.f64 x)))
(*.f64 (/.f64 2/3 (sin.f64 x)) (pow.f64 (/.f64 -1 x) -2))
(-.f64 (+.f64 1 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))) 1)
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 8/3 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x 1/4))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (*.f64 x (*.f64 x 1/4)) (*.f64 (sin.f64 x) 3/8))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (*.f64 x (*.f64 x 1/4)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (sin.f64 x))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (neg.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4)))) (neg.f64 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) 1) (sin.f64 x))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))
(/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (*.f64 x x) 2/3) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (/.f64 2/3 (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (*.f64 8/3 (*.f64 x (*.f64 x 1/4))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (*.f64 x (*.f64 x 1/4))) (neg.f64 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x 1/4)) -8/3) (neg.f64 (sin.f64 x)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 1)
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 3) 1/3)
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))) 3)
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 2))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 x (*.f64 x 1/4))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x))) 3))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (*.f64 x (*.f64 x 1/4)) 3)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x 1/4)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))
(exp.f64 (log.f64 (*.f64 8/3 (/.f64 (*.f64 x (*.f64 x 1/4)) (sin.f64 x)))))
(*.f64 2/3 (/.f64 (pow.f64 (/.f64 1 x) -2) (sin.f64 x)))
(*.f64 (*.f64 x x) (/.f64 2/3 (sin.f64 x)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.2b
(*.f64 (sin.f64 x) 3/8)
0.2b
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
2.8b
(-.f64 1 (cos.f64 x))
Compiler

Compiled 34 to 21 computations (38.2% saved)

series15.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
2.0ms
x
@-inf
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
2.0ms
x
@0
(-.f64 1 (cos.f64 x))
2.0ms
x
@0
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
2.0ms
x
@0
(*.f64 (sin.f64 x) 3/8)
Compiler

Compiled 497 to 412 computations (17.1% saved)

rewrite74.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
584×log-prod_binary64
292×pow2_binary64
287×pow-prod-down_binary64
274×prod-diff_binary64
204×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01126
123626
2311721
Stop Event
node limit
Counts
3 → 180
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(*.f64 (sin.f64 x) 3/8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (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) 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simplify96.0ms (1%)

Algorithm
egg-herbie
Rules
254×div-sub_binary64
235×associate-/r*_binary64
218×log-prod_binary64
211×times-frac_binary64
190×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05644688
114443412
254512502
Stop Event
node limit
Counts
208 → 255
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))))
(-.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(*.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
(*.f64 (-.f64 1 (cos.f64 x)) (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(*.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2) (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (neg.f64 (-.f64 1 (cos.f64 x))) (/.f64 1 (*.f64 (sin.f64 x) -3/4)))
(*.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (-.f64 1 (cos.f64 x)))
(*.f64 (*.f64 8/3 (tan.f64 (/.f64 x 2))) 1/2)
(*.f64 1/2 (*.f64 8/3 (tan.f64 (/.f64 x 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/4)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/4)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (sin.f64 x)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sin.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 3/4))
(*.f64 (/.f64 1 (*.f64 (sin.f64 x) 3/8)) (/.f64 (-.f64 1 (cos.f64 x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (*.f64 (sin.f64 x) 3/8)) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) 2) (/.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8)))
(*.f64 (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 (pow.f64 (cbrt.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)) 3/4)))
(*.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 (pow.f64 (*.f64 (sin.f64 x) 3/4) -1/2) (/.f64 (-.f64 1 (cos.f64 x)) (sqrt.f64 (*.f64 (sin.f64 x) 3/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.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))))
(pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 1)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 3)
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(pow.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) -1)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1) -1)
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(sqrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 2))
(log.f64 (exp.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) 3/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(log1p.f64 (expm1.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(fma.f64 1 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(fma.f64 (sqrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(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)))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(+.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 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 3/8 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 (pow.f64 x 3) -1/16 (*.f64 x 3/8))
(+.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 (pow.f64 x 3) -1/16 (*.f64 x 3/8)))
(+.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))))
(fma.f64 1/320 (pow.f64 x 5) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 -1/13440 (pow.f64 x 7) (*.f64 x 3/8))))
(fma.f64 (pow.f64 x 5) 1/320 (fma.f64 (pow.f64 x 3) -1/16 (fma.f64 x 3/8 (*.f64 (pow.f64 x 7) -1/13440))))
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(*.f64 3/8 (sin.f64 x))
(*.f64 (sin.f64 x) 3/8)
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 0 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (-.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 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.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 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (sin.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 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 1 (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) 2) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 1 (cos.f64 x))))
(*.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 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 1 (neg.f64 (cos.f64 x))))
(*.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)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2) 1/2)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1) (-.f64 1 (pow.f64 (cos.f64 x) 3))) -1)
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 2))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) -1))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 1 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8)) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) 2) (cbrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(fma.f64 (sqrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (sqrt.f64 (/.f64 1/2 (*.f64 (sin.f64 x) 3/8))) (neg.f64 (/.f64 (cos.f64 x) (*.f64 (sin.f64 x) 3/4))))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(+.f64 0 (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 x) 3/8)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8))) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 (sin.f64 x) 3/8) 1)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3) 1/3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8)) 3)
(*.f64 (sin.f64 x) 3/8)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8)) 2)
(*.f64 (sin.f64 x) 3/8)
(sqrt.f64 (*.f64 9/64 (pow.f64 (sin.f64 x) 2)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 9/64))
(fabs.f64 (*.f64 (sin.f64 x) 3/8))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) 3/8))
(*.f64 (sin.f64 x) 3/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) 3/8))))
(*.f64 (sin.f64 x) 3/8)
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) 3/8) 3))
(*.f64 (sin.f64 x) 3/8)
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) 3/8)) 1))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) 3/8))) 1/3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) 3/8))) 3))
(*.f64 (sin.f64 x) 3/8)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) 3/8))) 2))
(*.f64 (sin.f64 x) 3/8)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.4b
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
0.4b
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
0.4b
(/.f64 8/3 (sin.f64 x))
Compiler

Compiled 40 to 27 computations (32.5% saved)

series10.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

Compiled 372 to 312 computations (16.1% saved)

rewrite55.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
498×log-prod_binary64
375×exp-prod_binary64
325×prod-exp_binary64
287×pow-prod-down_binary64
261×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
120931
2250231
Stop Event
node limit
Counts
2 → 81
Calls
Call 1
Inputs
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
Outputs
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pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))))) 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(sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))))))

simplify65.0ms (0.7%)

Algorithm
egg-herbie
Rules
522×log-prod_binary64
467×fma-def_binary64
418×log-div_binary64
278×associate-*l/_binary64
235×prod-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02511785
15871736
214971669
360881669
Stop Event
node limit
Counts
105 → 118
Calls
Call 1
Inputs
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 8/3 (/.f64 (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 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1)
(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8))
(/.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (neg.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sin.f64 x))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(/.f64 (*.f64 -8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (neg.f64 (sin.f64 x)))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (sin.f64 x) 3/8))))
(exp.f64 (-.f64 (log.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (+.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (/.f64 8/3 (sin.f64 x)))))
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))
(+.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 1)
(/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 x))) (*.f64 (sin.f64 x) 3/8))
(/.f64 (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (sin.f64 x))
(/.f64 (*.f64 -8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (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 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))
Outputs
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(fma.f64 1/6 (*.f64 x x) 4/3)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (+.f64 4/3 (*.f64 5/288 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 4/3 (+.f64 (*.f64 5/288 (pow.f64 x 4)) (*.f64 61/34560 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) 4/3) (fma.f64 5/288 (pow.f64 x 4) (*.f64 61/34560 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 5/288 (pow.f64 x 4) (fma.f64 61/34560 (pow.f64 x 6) 4/3)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)))
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(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 4))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))) 6)) 1/3))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))) 3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))) 1) 1))
(*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1/2 (*.f64 1/2 (cos.f64 x))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (+.f64 1/2 (*.f64 (cos.f64 x) -1/2)))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1) (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1) (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) (log.f64 (sin.f64 (*.f64 x 1/2)))))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1) (*.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) 1)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(exp.f64 (+.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 x 1/2)))) (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))

eval383.0ms (4.1%)

Compiler

Compiled 18809 to 13272 computations (29.4% saved)

prune189.0ms (2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New92314937
Fresh11213
Picked011
Done314
Total93718955
Error
0b
Counts
955 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
0.1b
(/.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/8) 2)
60.5b
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
28.5b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
0.2b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 2)) (sin.f64 (*.f64 x 1/2)))))
30.1b
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
60.1b
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
37.4b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
47.9b
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
28.3b
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
48.3b
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
0.5b
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
33.3b
(*.f64 x 2/3)
28.3b
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
0.3b
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
28.3b
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
47.7b
(fabs.f64 (*.f64 x 2/3))
18.6b
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
Compiler

Compiled 383 to 319 computations (16.7% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (tan.f64 (/.f64 x 2)) 3/8)
Compiler

Compiled 25 to 20 computations (20% saved)

series9.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (tan.f64 (/.f64 x 2)) 3/8)
2.0ms
x
@inf
(/.f64 (tan.f64 (/.f64 x 2)) 3/8)
2.0ms
x
@-inf
(/.f64 (tan.f64 (/.f64 x 2)) 3/8)
Compiler

Compiled 200 to 167 computations (16.5% saved)

rewrite43.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
732×pow1_binary64
690×add-log-exp_binary64
690×log1p-expm1-u_binary64
690×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11599
218699
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (tan.f64 (/.f64 x 2)) 3/8)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3))))) (#(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))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))))) (#(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))) 8/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/8 (tan.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/8))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 64/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))))))

simplify36.0ms (0.4%)

Algorithm
egg-herbie
Rules
573×log-prod_binary64
506×fma-def_binary64
461×associate-*l*_binary64
422×associate-*r*_binary64
332×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078539
1180470
2537401
33381401
Stop Event
node limit
Counts
35 → 39
Calls
Call 1
Inputs
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 17/15120 (pow.f64 x 7)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -8/3)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2)
(pow.f64 (/.f64 3/8 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/8))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 64/9))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
Outputs
(*.f64 4/3 x)
(+.f64 (*.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))
(+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x)))
(fma.f64 4/3 x (fma.f64 1/90 (pow.f64 x 5) (*.f64 1/9 (pow.f64 x 3))))
(+.f64 (*.f64 17/15120 (pow.f64 x 7)) (+.f64 (*.f64 1/90 (pow.f64 x 5)) (+.f64 (*.f64 4/3 x) (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(fma.f64 17/15120 (pow.f64 x 7) (fma.f64 1/90 (pow.f64 x 5) (fma.f64 1/9 (pow.f64 x 3) (*.f64 4/3 x))))
(fma.f64 1/90 (pow.f64 x 5) (fma.f64 17/15120 (pow.f64 x 7) (fma.f64 4/3 x (*.f64 1/9 (pow.f64 x 3)))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 1)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 8/3))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 8/3))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -8/3)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 1)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 3)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)) 2)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/8 (tan.f64 (*.f64 x 1/2))) -1)
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/8))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 64/9))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3) 3))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 8/3)))
(+.f64 (+.f64 1 (*.f64 8/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 8/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 8/3 (tan.f64 (*.f64 x 1/2)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (*.f64 x 2/3))
0.4b
(*.f64 x 2/3)
3.8b
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
Compiler

Compiled 19 to 15 computations (21.1% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

Compiled 136 to 113 computations (16.9% saved)

rewrite48.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
726×pow1_binary64
684×add-log-exp_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
674×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0717
11569
221099
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(+.f64 1 (*.f64 x 2/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x 2/3 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2/3 1) -1)))) (#(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 1 (*.f64 x 2/3))))) (#(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 (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 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))))) (#(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 (+.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 (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 (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 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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 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 (+.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 (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 (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 /.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 (+.f64 1 (pow.f64 (fma.f64 x 2/3 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 2/3 -1) (fma.f64 x 2/3 -1)) (fma.f64 x 2/3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x 2/3 -1) (fma.f64 x 2/3 -1))) (-.f64 1 (fma.f64 x 2/3 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2/3) 1)))) (#(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 (sqrt.f64 (*.f64 x 2/3)) 2)))) (#(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 (pow.f64 (*.f64 x 2/3) 2))))) (#(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 (*.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 log1p.f64 (expm1.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 fma.f64 1 (fma.f64 x 2/3 1) -1)))) (#(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)))) (#(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 -.f64 (+.f64 (*.f64 x 2/3) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -2/3 x))) (/.f64 (pow.f64 (*.f64 x 2/3) 2) (+.f64 1 (*.f64 -2/3 x))))))) (#(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 (cbrt.f64 (fma.f64 x 2/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) (/.f64 1 (+.f64 1 (*.f64 -2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))) (+.f64 1 (*.f64 (pow.f64 x 3) 8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -2/3 x)) (-.f64 1 (pow.f64 (*.f64 x 2/3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 (pow.f64 (*.f64 x 2/3) 2) (+.f64 1 (*.f64 -2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) (+.f64 1 (*.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27))) (neg.f64 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2))) (neg.f64 (+.f64 1 (*.f64 -2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 2/3) 2) 1) (fma.f64 x 2/3 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) 1) (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) 1) (+.f64 1 (*.f64 -2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 2/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2/3 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2/3 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 2/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 2/3 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 2/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 2/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 x 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)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 1)))))

simplify39.0ms (0.4%)

Algorithm
egg-herbie
Rules
783×times-frac_binary64
771×fma-def_binary64
486×distribute-rgt-in_binary64
418×distribute-lft-in_binary64
339×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0166963
1366891
21316871
Stop Event
node limit
Counts
103 → 99
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)
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (*.f64 2/3 x) 1)
(*.f64 2/3 x)
(+.f64 1 (*.f64 2/3 x))
(+.f64 1 (*.f64 2/3 x))
(+.f64 1 (*.f64 2/3 x))
(*.f64 2/3 x)
(+.f64 1 (*.f64 2/3 x))
(+.f64 1 (*.f64 2/3 x))
(+.f64 1 (*.f64 2/3 x))
(+.f64 1 (fma.f64 x 2/3 -1))
(+.f64 1 (*.f64 (fma.f64 x 2/3 -1) 1))
(+.f64 (*.f64 x 2/3) 0)
(+.f64 (fma.f64 x 2/3 1) -1)
(+.f64 -1 (fma.f64 x 2/3 1))
(+.f64 (fma.f64 x 2/3 -1) 1)
(*.f64 1 (*.f64 x 2/3))
(*.f64 x 2/3)
(*.f64 2/3 x)
(*.f64 (*.f64 x 2/3) 1)
(*.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 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2/3))
(*.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)))
(*.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 (pow.f64 (fma.f64 x 2/3 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x 2/3) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(*.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 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)))
(/.f64 1 (/.f64 (+.f64 (*.f64 x 2/3) 2) (+.f64 (pow.f64 (fma.f64 x 2/3 1) 2) -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 (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 (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 (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) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 2/3 -1) (fma.f64 x 2/3 -1)) (fma.f64 x 2/3 -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x 2/3 -1) (fma.f64 x 2/3 -1))) (-.f64 1 (fma.f64 x 2/3 -1)))
(pow.f64 (*.f64 x 2/3) 1)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 8/27) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x 2/3) 2))
(log.f64 (pow.f64 (exp.f64 2/3) x))
(cbrt.f64 (*.f64 (pow.f64 x 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 x 2/3)))
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(exp.f64 (log.f64 (*.f64 x 2/3)))
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(-.f64 (+.f64 (*.f64 x 2/3) 2) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -2/3 x))) (/.f64 (pow.f64 (*.f64 x 2/3) 2) (+.f64 1 (*.f64 -2/3 x))))
(*.f64 1 (fma.f64 x 2/3 1))
(*.f64 (fma.f64 x 2/3 1) 1)
(*.f64 (cbrt.f64 (fma.f64 x 2/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 1))
(*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)))
(*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1)))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) (/.f64 1 (+.f64 1 (*.f64 -2/3 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))) (+.f64 1 (*.f64 (pow.f64 x 3) 8/27))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 -2/3 x)) (-.f64 1 (pow.f64 (*.f64 x 2/3) 2))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 (pow.f64 (*.f64 x 2/3) 2) (+.f64 1 (*.f64 -2/3 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) (+.f64 1 (*.f64 -2/3 x)))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27))) (neg.f64 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2))) (neg.f64 (+.f64 1 (*.f64 -2/3 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2/3) 2) 1) (fma.f64 x 2/3 -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) 1) (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) 1) (+.f64 1 (*.f64 -2/3 x)))
(pow.f64 (fma.f64 x 2/3 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 2)
(pow.f64 (pow.f64 (fma.f64 x 2/3 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x 2/3 1) 2))
(log.f64 (exp.f64 (fma.f64 x 2/3 1)))
(cbrt.f64 (pow.f64 (fma.f64 x 2/3 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2/3 1)))
(log1p.f64 (expm1.f64 (fma.f64 x 2/3 1)))
(exp.f64 (log1p.f64 (*.f64 x 2/3)))
(fma.f64 1 (*.f64 x 2/3) 1)
(fma.f64 x 2/3 1)
(fma.f64 2/3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 1)
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 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)
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(*.f64 2/3 x)
(+.f64 1 (*.f64 2/3 x))
(fma.f64 2/3 x 1)
(+.f64 1 (*.f64 2/3 x))
(fma.f64 2/3 x 1)
(+.f64 1 (*.f64 2/3 x))
(fma.f64 2/3 x 1)
(*.f64 2/3 x)
(+.f64 1 (*.f64 2/3 x))
(fma.f64 2/3 x 1)
(+.f64 1 (*.f64 2/3 x))
(fma.f64 2/3 x 1)
(+.f64 1 (*.f64 2/3 x))
(fma.f64 2/3 x 1)
(+.f64 1 (fma.f64 x 2/3 -1))
(*.f64 2/3 x)
(+.f64 1 (*.f64 (fma.f64 x 2/3 -1) 1))
(*.f64 2/3 x)
(+.f64 (*.f64 x 2/3) 0)
(*.f64 2/3 x)
(+.f64 (fma.f64 x 2/3 1) -1)
(*.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 1 (*.f64 x 2/3))
(*.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 (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 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(*.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 (+.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 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 x 2/3 2)) (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3))))
(/.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 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 1 (+.f64 (*.f64 x 2/3) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (*.f64 (fma.f64 2/3 x 2) (*.f64 2/3 x)) (fma.f64 2/3 x 2))
(*.f64 (/.f64 (fma.f64 2/3 x 2) (fma.f64 2/3 x 2)) (*.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 (*.f64 2/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 2/3 x)
(*.f64 (*.f64 2/3 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2/3 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)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 x 2/3 2)) (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3))))
(/.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 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.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 2/3 x 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (*.f64 (fma.f64 2/3 x 2) (*.f64 2/3 x)) (fma.f64 2/3 x 2))
(*.f64 (/.f64 (fma.f64 2/3 x 2) (fma.f64 2/3 x 2)) (*.f64 2/3 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)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 x 2/3 2)) (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3))))
(/.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 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 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 x 2/3 2)) (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3))))
(/.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 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 2/3 x 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (*.f64 (fma.f64 2/3 x 2) (*.f64 2/3 x)) (fma.f64 2/3 x 2))
(*.f64 (/.f64 (fma.f64 2/3 x 2) (fma.f64 2/3 x 2)) (*.f64 2/3 x))
(/.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 2/3 x 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (*.f64 (fma.f64 2/3 x 2) (*.f64 2/3 x)) (fma.f64 2/3 x 2))
(*.f64 (/.f64 (fma.f64 2/3 x 2) (fma.f64 2/3 x 2)) (*.f64 2/3 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))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2/3 x 1) 2) (fma.f64 x 2/3 2)) (+.f64 -1 (pow.f64 (fma.f64 2/3 x 1) 3))))
(/.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 1 (*.f64 (fma.f64 2/3 x 1) (fma.f64 2/3 x 2))))
(/.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 2/3 x 1) 2)) (/.f64 1 (fma.f64 x 2/3 2)))
(/.f64 (*.f64 (fma.f64 2/3 x 2) (*.f64 2/3 x)) (fma.f64 2/3 x 2))
(*.f64 (/.f64 (fma.f64 2/3 x 2) (fma.f64 2/3 x 2)) (*.f64 2/3 x))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 2/3 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x 2/3 -1) (fma.f64 x 2/3 -1)) (fma.f64 x 2/3 -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 x -1) 3)) (+.f64 1 (*.f64 (fma.f64 2/3 x -1) (-.f64 (fma.f64 2/3 x -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 2/3 x -1) 3)) (fma.f64 (fma.f64 2/3 x -1) (+.f64 (*.f64 2/3 x) -2) 1))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x 2/3 -1) (fma.f64 x 2/3 -1))) (-.f64 1 (fma.f64 x 2/3 -1)))
(/.f64 (+.f64 1 (*.f64 (fma.f64 2/3 x -1) (fma.f64 x -2/3 1))) (+.f64 1 (fma.f64 x -2/3 1)))
(/.f64 (fma.f64 (fma.f64 2/3 x -1) (fma.f64 x -2/3 1) 1) (+.f64 2 (*.f64 x -2/3)))
(pow.f64 (*.f64 x 2/3) 1)
(*.f64 2/3 x)
(pow.f64 (cbrt.f64 (*.f64 x 2/3)) 3)
(*.f64 2/3 x)
(pow.f64 (sqrt.f64 (*.f64 x 2/3)) 2)
(*.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 (pow.f64 (*.f64 x 2/3) 2))
(*.f64 2/3 x)
(log.f64 (pow.f64 (exp.f64 2/3) x))
(*.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)
(log1p.f64 (expm1.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(exp.f64 (log.f64 (*.f64 x 2/3)))
(*.f64 2/3 x)
(fma.f64 1 (fma.f64 x 2/3 1) -1)
(*.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)
(fma.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)) -1)
(*.f64 2/3 x)
(-.f64 (+.f64 (*.f64 x 2/3) 2) 1)
(fma.f64 2/3 x 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 -2/3 x))) (/.f64 (pow.f64 (*.f64 x 2/3) 2) (+.f64 1 (*.f64 -2/3 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(*.f64 1 (fma.f64 x 2/3 1))
(fma.f64 2/3 x 1)
(*.f64 (fma.f64 x 2/3 1) 1)
(fma.f64 2/3 x 1)
(*.f64 (cbrt.f64 (fma.f64 x 2/3 1)) (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2))
(fma.f64 2/3 x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (cbrt.f64 (fma.f64 x 2/3 1)))
(fma.f64 2/3 x 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 1))
(fma.f64 2/3 x 1)
(*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (sqrt.f64 (fma.f64 x 2/3 1)))
(fma.f64 2/3 x 1)
(*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) (*.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 1))
(fma.f64 2/3 x 1)
(*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1)))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (fma.f64 x 2/3 -1) (*.f64 2/3 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (fma.f64 2/3 x -1) (*.f64 2/3 x) 1))
(/.f64 (fma.f64 (pow.f64 x 3) -8/27 -1) (fma.f64 (*.f64 2/3 x) (fma.f64 x -2/3 1) -1))
(*.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) (/.f64 1 (+.f64 1 (*.f64 -2/3 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))) (+.f64 1 (*.f64 (pow.f64 x 3) 8/27))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (fma.f64 x 2/3 -1) (*.f64 2/3 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (fma.f64 2/3 x -1) (*.f64 2/3 x) 1))
(/.f64 (fma.f64 (pow.f64 x 3) -8/27 -1) (fma.f64 (*.f64 2/3 x) (fma.f64 x -2/3 1) -1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 -2/3 x)) (-.f64 1 (pow.f64 (*.f64 x 2/3) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (fma.f64 x 2/3 -1) (*.f64 2/3 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (fma.f64 2/3 x -1) (*.f64 2/3 x) 1))
(/.f64 (fma.f64 (pow.f64 x 3) -8/27 -1) (fma.f64 (*.f64 2/3 x) (fma.f64 x -2/3 1) -1))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 (pow.f64 (*.f64 x 2/3) 2) (+.f64 1 (*.f64 -2/3 x))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (fma.f64 x 2/3 -1) (*.f64 2/3 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (fma.f64 2/3 x -1) (*.f64 2/3 x) 1))
(/.f64 (fma.f64 (pow.f64 x 3) -8/27 -1) (fma.f64 (*.f64 2/3 x) (fma.f64 x -2/3 1) -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) (+.f64 1 (*.f64 -2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27))) (neg.f64 (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1)))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (fma.f64 x 2/3 -1) (*.f64 2/3 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (fma.f64 2/3 x -1) (*.f64 2/3 x) 1))
(/.f64 (fma.f64 (pow.f64 x 3) -8/27 -1) (fma.f64 (*.f64 2/3 x) (fma.f64 x -2/3 1) -1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2))) (neg.f64 (+.f64 1 (*.f64 -2/3 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(/.f64 (-.f64 (pow.f64 (*.f64 x 2/3) 2) 1) (fma.f64 x 2/3 -1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) 1) (+.f64 1 (*.f64 (*.f64 x 2/3) (fma.f64 x 2/3 -1))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 8/27)) (+.f64 1 (*.f64 (fma.f64 x 2/3 -1) (*.f64 2/3 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 8/27 1) (fma.f64 (fma.f64 2/3 x -1) (*.f64 2/3 x) 1))
(/.f64 (fma.f64 (pow.f64 x 3) -8/27 -1) (fma.f64 (*.f64 2/3 x) (fma.f64 x -2/3 1) -1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 2/3) 2)) 1) (+.f64 1 (*.f64 -2/3 x)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 2/3 x) 2)) (+.f64 1 (*.f64 x -2/3)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) 4/9)) (fma.f64 x -2/3 1))
(/.f64 (fma.f64 (*.f64 x x) 4/9 -1) (fma.f64 2/3 x -1))
(pow.f64 (fma.f64 x 2/3 1) 1)
(fma.f64 2/3 x 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2/3 1)) 3)
(fma.f64 2/3 x 1)
(pow.f64 (sqrt.f64 (fma.f64 x 2/3 1)) 2)
(fma.f64 2/3 x 1)
(pow.f64 (pow.f64 (fma.f64 x 2/3 1) 3) 1/3)
(fma.f64 2/3 x 1)
(sqrt.f64 (pow.f64 (fma.f64 x 2/3 1) 2))
(fma.f64 2/3 x 1)
(log.f64 (exp.f64 (fma.f64 x 2/3 1)))
(fma.f64 2/3 x 1)
(cbrt.f64 (pow.f64 (fma.f64 x 2/3 1) 3))
(fma.f64 2/3 x 1)
(expm1.f64 (log1p.f64 (fma.f64 x 2/3 1)))
(fma.f64 2/3 x 1)
(log1p.f64 (expm1.f64 (fma.f64 x 2/3 1)))
(fma.f64 2/3 x 1)
(exp.f64 (log1p.f64 (*.f64 x 2/3)))
(exp.f64 (log1p.f64 (*.f64 2/3 x)))
(fma.f64 1 (*.f64 x 2/3) 1)
(fma.f64 2/3 x 1)
(fma.f64 x 2/3 1)
(fma.f64 2/3 x 1)
(fma.f64 2/3 x 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 2/3)) 2) (cbrt.f64 (*.f64 x 2/3)) 1)
(fma.f64 2/3 x 1)
(fma.f64 (sqrt.f64 (*.f64 x 2/3)) (sqrt.f64 (*.f64 x 2/3)) 1)
(fma.f64 2/3 x 1)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.1b
(/.f64 (cos.f64 x) 3/4)
0.2b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
3.0b
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
Compiler

Compiled 27 to 16 computations (40.7% saved)

series15.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@0
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
2.0ms
x
@0
(/.f64 (cos.f64 x) 3/4)
2.0ms
x
@-inf
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
2.0ms
x
@inf
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
2.0ms
x
@0
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
Compiler

Compiled 501 to 422 computations (15.8% saved)

rewrite74.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
479×log-prod_binary64
379×exp-prod_binary64
272×pow2_binary64
245×pow-prod-down_binary64
197×prod-diff_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0929
120729
2279125
Stop Event
node limit
Counts
3 → 199
Calls
Call 1
Inputs
(-.f64 4/3 (/.f64 (cos.f64 x) 3/4))
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(/.f64 (cos.f64 x) 3/4)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (cos.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 *.f64 4/3 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/3 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 x)) -4/3)))) (#(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 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)))) (#(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 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/4 (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 3/4 (cos.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))) (sqrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 x) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))) (#(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 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 3/4 (cos.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 3) 1/3))))))

simplify103.0ms (1.1%)

Algorithm
egg-herbie
Rules
400×fma-neg_binary64
388×cancel-sign-sub-inv_binary64
246×log-prod_binary64
223×sqr-pow_binary64
210×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05665611
113804641
245003639
Stop Event
node limit
Counts
235 → 283
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (*.f64 1/540 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -4/3) 1))
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(+.f64 0 (fma.f64 (cos.f64 x) -4/3 4/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9)))
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (neg.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9)))
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.f64 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (+.f64 16/9 (-.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(pow.f64 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) -1)
(pow.f64 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2)) (cbrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))) (sqrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) 1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (neg.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 4/3)
(fma.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (neg.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 4/3)
(fma.f64 (neg.f64 (cos.f64 x)) 4/3 4/3)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 2) (cbrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) (sqrt.f64 (*.f64 (cos.f64 x) -4/3)) 4/3)
(fma.f64 -1 (*.f64 4/3 (cos.f64 x)) 4/3)
(fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (cbrt.f64 (*.f64 4/3 (cos.f64 x))) 4/3)
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 4/3)
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)))) (sqrt.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(+.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(+.f64 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(+.f64 0 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x)))))
(+.f64 (fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 x))) (*.f64 4/3 (cos.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (*.f64 4/3 (cos.f64 x)))))
(+.f64 (fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)) 1))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))) 1 (*.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3)) 1)))
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(pow.f64 (/.f64 (/.f64 3/4 (cos.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))) (sqrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))))
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(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 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (cos.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (cos.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 3) 1/3))
Outputs
(*.f64 2/3 (pow.f64 x 2))
(*.f64 2/3 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 2/3 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 2/3 (*.f64 x x)))
(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))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 6) (*.f64 2/3 (*.f64 x x))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 2/3 (pow.f64 x 2)) (+.f64 (*.f64 -1/30240 (pow.f64 x 8)) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 -1/30240 (pow.f64 x 8) (*.f64 1/540 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 2/3 (*.f64 x x) (fma.f64 1/540 (pow.f64 x 6) (*.f64 -1/30240 (pow.f64 x 8)))))
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(-.f64 4/3 (*.f64 4/3 (cos.f64 x)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(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))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(/.f64 (-.f64 4/3 (*.f64 4/3 (cos.f64 x))) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 -2/3 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) -2/3))
(fma.f64 (*.f64 x x) -2/3 4/3)
(+.f64 4/3 (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2))))
(+.f64 4/3 (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3)))
(+.f64 4/3 (fma.f64 (pow.f64 x 4) 1/18 (*.f64 x (*.f64 x -2/3))))
(+.f64 (fma.f64 (*.f64 x x) -2/3 4/3) (*.f64 (pow.f64 x 4) 1/18))
(+.f64 4/3 (+.f64 (*.f64 -1/540 (pow.f64 x 6)) (+.f64 (*.f64 1/18 (pow.f64 x 4)) (*.f64 -2/3 (pow.f64 x 2)))))
(+.f64 4/3 (fma.f64 -1/540 (pow.f64 x 6) (fma.f64 1/18 (pow.f64 x 4) (*.f64 (*.f64 x x) -2/3))))
(+.f64 4/3 (fma.f64 (pow.f64 x 6) -1/540 (fma.f64 (pow.f64 x 4) 1/18 (*.f64 x (*.f64 x -2/3)))))
(+.f64 (fma.f64 (pow.f64 x 6) -1/540 (*.f64 (pow.f64 x 4) 1/18)) (fma.f64 (*.f64 x x) -2/3 4/3))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(+.f64 4/3 (*.f64 (cos.f64 x) -4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 4/3 (*.f64 (*.f64 (cos.f64 x) -4/3) 1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (*.f64 (cos.f64 x) -4/3) 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 0 (fma.f64 (cos.f64 x) -4/3 4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))))
(*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 1 (fma.f64 (cos.f64 x) -4/3 4/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(*.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(*.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(*.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (-.f64 -16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 (cos.f64 x) -4/3 -4/3))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 1 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))))
(*.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (-.f64 -16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 (cos.f64 x) -4/3 -4/3))
(/.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3)) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 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 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (-.f64 -16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 (cos.f64 x) -4/3 -4/3))
(/.f64 (neg.f64 (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) (neg.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 (neg.f64 (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) (neg.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 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (-.f64 -16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 (cos.f64 x) -4/3 -4/3))
(/.f64 (+.f64 64/27 (pow.f64 (*.f64 (cos.f64 x) -4/3) 3)) (+.f64 16/9 (-.f64 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2) (*.f64 4/3 (*.f64 (cos.f64 x) -4/3)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(/.f64 (-.f64 16/9 (pow.f64 (*.f64 (cos.f64 x) -4/3) 2)) (-.f64 4/3 (*.f64 (cos.f64 x) -4/3)))
(*.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (-.f64 -16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 (cos.f64 x) -4/3 -4/3))
(pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 1)
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2) 1/2)
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) 1/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 2)
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(pow.f64 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))) -1)
(/.f64 1 (/.f64 (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9) (-.f64 64/27 (*.f64 64/27 (pow.f64 (cos.f64 x) 3)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 3) -64/27 64/27) (fma.f64 (*.f64 4/3 (cos.f64 x)) (fma.f64 4/3 (cos.f64 x) 4/3) 16/9))
(pow.f64 (/.f64 (fma.f64 4/3 (cos.f64 x) 4/3) (-.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))) -1)
(*.f64 (-.f64 16/9 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (/.f64 1 (fma.f64 4/3 (cos.f64 x) 4/3)))
(/.f64 (+.f64 16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 4/3 (cos.f64 x) 4/3))
(/.f64 (-.f64 -16/9 (*.f64 (pow.f64 (cos.f64 x) 2) -16/9)) (fma.f64 (cos.f64 x) -4/3 -4/3))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2)) (cbrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))) (sqrt.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2))
(fma.f64 (cos.f64 x) -4/3 4/3)
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3))))
(fma.f64 (cos.f64 x) -4/3 4/3)
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 1/3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 3))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3))) 2))
(fma.f64 (cos.f64 x) -4/3 4/3)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) 1))
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 (cos.f64 x) -4/3 4/3)
(fma.f64 1 (*.f64 (cos.f64 x) -4/3) 4/3)
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(*.f64 (/.f64 1 (sin.f64 x)) (fma.f64 (cos.f64 x) -4/3 4/3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sqrt.f64 (sin.f64 x))))
(/.f64 (*.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (pow.f64 (sin.f64 x) -1/2)) (sqrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) 1) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sin.f64 x)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (cbrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (fma.f64 (cos.f64 x) -4/3 4/3)) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2) 1/2)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3) 1/3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 2)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (/.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3)) 1) -1)
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(neg.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (neg.f64 (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 2))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (exp.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)) 3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) -4/3 4/3) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 1/3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 3))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x)))) 2))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 (cos.f64 x) -4/3 4/3))) -1))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))) 1) 1))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(fma.f64 4/3 (/.f64 1 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(fma.f64 1 (/.f64 4/3 (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 4/3 (sin.f64 x))) 2) (cbrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(fma.f64 (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (sqrt.f64 (/.f64 4/3 (sin.f64 x))) (neg.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) 4/3))))
(/.f64 (fma.f64 (cos.f64 x) -4/3 4/3) (sin.f64 x))
(+.f64 0 (*.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/3) (cos.f64 x)))))
(*.f64 4/3 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x)))) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cos.f64 x) 4/3)
(*.f64 4/3 (cos.f64 x))
(*.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(*.f64 1 (*.f64 4/3 (cos.f64 x)))
(*.f64 4/3 (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9)) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) 4/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 4/3 (cbrt.f64 (cos.f64 x))))
(*.f64 4/3 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cbrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) (sqrt.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) 4/3))
(*.f64 4/3 (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) -4/3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 4/3 (cos.f64 x)) 1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9) 1/2)
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.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 (sqrt.f64 (*.f64 4/3 (cos.f64 x))) 2)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3) 1/3)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 3/4 (cos.f64 x)) -1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(pow.f64 (/.f64 (/.f64 3/4 (cos.f64 x)) 1) -1)
(*.f64 4/3 (cos.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x))))) (sqrt.f64 (log.f64 (*.f64 4/3 (cos.f64 x)))))
(neg.f64 (/.f64 (cos.f64 x) -3/4))
(/.f64 (neg.f64 (cos.f64 x)) -3/4)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) 16/9))
(sqrt.f64 (*.f64 16/9 (pow.f64 (cos.f64 x) 2)))
(fabs.f64 (*.f64 4/3 (cos.f64 x)))
(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 (pow.f64 (*.f64 4/3 (cos.f64 x)) 3))
(*.f64 4/3 (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 4/3 (cos.f64 x))))
(*.f64 4/3 (cos.f64 x))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 4/3 (cos.f64 x)))) 3))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 4/3 (cos.f64 x)))) 2))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 4/3 (cos.f64 x)))) 1/3))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 3/4 (cos.f64 x))) -1))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 1) 1))
(*.f64 4/3 (cos.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 4/3 (cos.f64 x))) 3) 1/3))
(*.f64 4/3 (cos.f64 x))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
0.1b
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
0.3b
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
Compiler

Compiled 33 to 27 computations (18.2% saved)

series1.1s (11.9%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
752.0ms
x
@0
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
332.0ms
x
@0
(sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
9.0ms
x
@inf
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
9.0ms
x
@-inf
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
7.0ms
x
@-inf
(sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
Compiler

Compiled 83560 to 68743 computations (17.7% saved)

rewrite54.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
813×pow1_binary64
766×add-log-exp_binary64
766×log1p-expm1-u_binary64
766×expm1-log1p-u_binary64
752×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
120329
2213329
Stop Event
node limit
Counts
3 → 90
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(/.f64 (tan.f64 (/.f64 x 2)) 3/4)
(sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(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 1 (*.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)) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (sqrt.f64 (*.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 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 x 1/2)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 3/4)))) (#(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 /.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))) (#(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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.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 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(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 1 (*.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)) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (sqrt.f64 (*.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 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2) 1/2)))) (#(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 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 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)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))))) (#(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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 4/3 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.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) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))))))

simplify60.0ms (0.6%)

Algorithm
egg-herbie
Rules
831×fma-def_binary64
484×log-prod_binary64
388×fma-neg_binary64
317×exp-prod_binary64
255×cube-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01652010
13411685
211571457
345111457
Stop Event
node limit
Counts
118 → 105
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 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))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 1 (*.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)) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (sqrt.f64 (*.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 (neg.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)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) 1))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (/.f64 3/4 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 3/4 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/4 (cos.f64 (*.f64 x 1/2))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -3/4)
(/.f64 -1 (neg.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) 3/4)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 3/4))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 3/4))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 1 (*.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)) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (sqrt.f64 (*.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 (neg.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)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4)) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 1)
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(*.f64 1 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 4/3))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 4/3 1/2))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (/.f64 1 (sqrt.f64 3/4)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (/.f64 (sqrt.f64 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 -3/4))
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 3/4)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 3)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
Outputs
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))) 2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 x 2/3 (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 x 2/3 (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 x 2/3 (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3))) 2)
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(sqrt.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(sqrt.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (*.f64 1/2 x)) 4/3)))
(-.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (cbrt.f64 (pow.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 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (*.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
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(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 1 (sqrt.f64 3/4)))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 3/4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 2))) (sqrt.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))))
(/.f64 1 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2)))))
(/.f64 1 (sqrt.f64 (/.f64 3/4 (tan.f64 (*.f64 1/2 x)))))
(/.f64 1 (/.f64 (sqrt.f64 3/4) (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 1 (sqrt.f64 3/4)))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 3/4))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 3/4))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 1 (sqrt.f64 3/4)))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 3/4))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 -3/4))
(/.f64 (sqrt.f64 (neg.f64 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 -3/4))
(/.f64 (neg.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (neg.f64 (sqrt.f64 3/4)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (/.f64 1 (sqrt.f64 3/4)))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (sqrt.f64 3/4))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(fabs.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 0)
(sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))

eval232.0ms (2.5%)

Compiler

Compiled 11602 to 7999 computations (31.1% saved)

prune120.0ms (1.3%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New6296635
Fresh5611
Picked011
Done246
Total63617653
Error
0b
Counts
653 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
60.5b
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
28.5b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
0.4b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
0.3b
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
60.1b
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
37.4b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
61.3b
(-.f64 1 1)
27.5b
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
47.9b
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
48.3b
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
0.3b
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
33.3b
(*.f64 x 2/3)
28.3b
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
28.3b
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
47.7b
(fabs.f64 (*.f64 x 2/3))
Compiler

Compiled 297 to 249 computations (16.2% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
2.0ms
x
@inf
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
2.0ms
x
@0
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Compiler

Compiled 200 to 167 computations (16.5% saved)

rewrite40.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
682×pow1_binary64
639×add-log-exp_binary64
639×log1p-expm1-u_binary64
639×expm1-log1p-u_binary64
629×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11519
217239
Stop Event
node limit
Counts
1 → 23
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (*.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 (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 (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 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)))) (#(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 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)))) (#(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 (/.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)) -3/4))))) (#(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 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 log1p.f64 (expm1.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)))))))

simplify36.0ms (0.4%)

Algorithm
egg-herbie
Rules
573×log-prod_binary64
510×fma-def_binary64
468×associate-*l*_binary64
418×associate-*r*_binary64
332×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080539
1187470
2550401
33435401
Stop Event
node limit
Counts
35 → 40
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 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(*.f64 (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 (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 (neg.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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(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)))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.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 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 17/30240 (pow.f64 x 7)))))
(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))))
(*.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 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.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 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.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 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 4/3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.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 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 (neg.f64 (tan.f64 (*.f64 x 1/2))) -4/3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.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 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))) -1)
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(neg.f64 (/.f64 (tan.f64 (*.f64 x 1/2)) -3/4))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) 16/9))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 (+.f64 1 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

localize2.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
0.4b
(*.f64 8/3 (/.f64 1 x))
0.4b
(*.f64 4/9 x)
14.4b
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
Compiler

Compiled 49 to 36 computations (26.5% saved)

series12.0ms (0.1%)

Counts
4 → 27
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
1.0ms
x
@inf
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
1.0ms
x
@inf
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
1.0ms
x
@-inf
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
1.0ms
x
@-inf
(*.f64 4/9 x)
Compiler

Compiled 368 to 302 computations (17.9% saved)

rewrite70.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
640×log-prod_binary64
444×pow-prod-down_binary64
330×pow2_binary64
316×fma-def_binary64
232×pow-unpow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
128033
2344733
Stop Event
node limit
Counts
4 → 129
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
(*.f64 4/9 x)
(*.f64 8/3 (/.f64 1 x))
(+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/9) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/9) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/9) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4/9 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 64/729 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 4/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/9) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 64/729 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 4/9 x)) 1))))))
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simplify55.0ms (0.6%)

Algorithm
egg-herbie
Rules
971×times-frac_binary64
363×unswap-sqr_binary64
311×cancel-sign-sub-inv_binary64
222×fma-neg_binary64
202×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02952007
16631900
223441858
Stop Event
node limit
Counts
156 → 177
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(*.f64 1/9 (pow.f64 (/.f64 1 x) -3))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (*.f64 2/3 x) (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (*.f64 2/3 x) (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(+.f64 (*.f64 2/3 x) (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(*.f64 4/9 x)
(*.f64 4/9 x)
(+.f64 0 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))))
(+.f64 (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))))
(+.f64 (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4/9 x)) (*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 x)))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 x)) (*.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4/9 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))))) 1)
(/.f64 (*.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3))) (*.f64 1/4 (*.f64 x x))) (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2))) (*.f64 1/4 (*.f64 x x))) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)))
(/.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3)))) (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)))
(/.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2)))) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)))
(pow.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x))))) 3)
(pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 4))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 6))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x))))) 1))
(fma.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))))
(fma.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
(fma.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4/9 x) (*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 x)))
(fma.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 x) (*.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4/9 x)))
(+.f64 0 (*.f64 4/9 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/9) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/9) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/9) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/9) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 4/9 x))) 1)
(pow.f64 (*.f64 4/9 x) 1)
(pow.f64 (pow.f64 (*.f64 4/9 x) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 4/9 x)) 3)
(pow.f64 (*.f64 2/3 (sqrt.f64 x)) 2)
(pow.f64 (*.f64 64/729 (pow.f64 x 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 4/9 x) 2))
(log.f64 (pow.f64 (exp.f64 4/9) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/9 x))))
(cbrt.f64 (*.f64 64/729 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 4/9 x)))
(log1p.f64 (expm1.f64 (*.f64 4/9 x)))
(exp.f64 (log.f64 (*.f64 4/9 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 4/9 x)) 1))
(+.f64 0 (/.f64 8/3 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/3 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/3 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 8/3 x))) 1)
(/.f64 8/3 x)
(/.f64 1 (/.f64 x 8/3))
(/.f64 -8/3 (neg.f64 x))
(/.f64 (/.f64 8/3 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 8/3 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 8/3 x) 1)
(pow.f64 (*.f64 64/9 (pow.f64 x -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 8/3 x)) 3)
(pow.f64 (sqrt.f64 (/.f64 8/3 x)) 2)
(pow.f64 (*.f64 512/27 (pow.f64 x -3)) 1/3)
(pow.f64 (/.f64 x 8/3) -1)
(sqrt.f64 (*.f64 64/9 (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 8/3 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))))
(cbrt.f64 (*.f64 512/27 (pow.f64 x -3)))
(expm1.f64 (log1p.f64 (/.f64 8/3 x)))
(log1p.f64 (expm1.f64 (/.f64 8/3 x)))
(exp.f64 (log.f64 (/.f64 8/3 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 8/3 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 4/9 x) 2) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x))) (/.f64 (*.f64 64/9 (pow.f64 x -2)) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x))))
(*.f64 1 (fma.f64 4/9 x (/.f64 8/3 x)))
(*.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))) (cbrt.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 2)) (cbrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(*.f64 (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(*.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2))))
(*.f64 (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 4/9 x) (/.f64 8/3 x))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)) (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2)))))
(/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3))) (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)))
(/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3))) (fma.f64 64/9 (pow.f64 x -2) (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 (*.f64 4/9 x) (/.f64 8/3 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2))) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)))
(/.f64 (neg.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3)))) (neg.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 4/9 x) (/.f64 8/3 x))))
(/.f64 (fma.f64 64/9 (pow.f64 x -2) (neg.f64 (pow.f64 (*.f64 4/9 x) 2))) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)))
(pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 1)
(pow.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3)))) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)) (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 2))
(log.f64 (exp.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4/9 x (/.f64 8/3 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4/9 x))) (exp.f64 (/.f64 8/3 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 4/9) x) (+.f64 1 (expm1.f64 (/.f64 8/3 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4/9 x))) (+.f64 1 (expm1.f64 (/.f64 8/3 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))) (pow.f64 (exp.f64 4/9) x)))
(log.f64 (*.f64 (exp.f64 (/.f64 8/3 x)) (+.f64 1 (expm1.f64 (*.f64 4/9 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))) (+.f64 1 (expm1.f64 (*.f64 4/9 x)))))
(cbrt.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(log1p.f64 (expm1.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(exp.f64 (log.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 4/9 x (/.f64 8/3 x))) 1))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (*.f64 4/9 x) 1 (/.f64 8/3 x))
(fma.f64 8/3 (/.f64 1 x) (*.f64 4/9 x))
(fma.f64 1 (*.f64 4/9 x) (/.f64 8/3 x))
(fma.f64 1 (/.f64 8/3 x) (*.f64 4/9 x))
(fma.f64 (/.f64 1 x) 8/3 (*.f64 4/9 x))
(fma.f64 (/.f64 8/3 x) 1 (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (/.f64 8/3 x)) (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (cbrt.f64 (/.f64 8/3 x)) (*.f64 4/9 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 4/9) (/.f64 8/3 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) 8/3) (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (*.f64 4/9 x)) (pow.f64 (cbrt.f64 (*.f64 4/9 x)) 2) (/.f64 8/3 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4/9 x)) 2) (cbrt.f64 (*.f64 4/9 x)) (/.f64 8/3 x))
(fma.f64 (sqrt.f64 (/.f64 8/3 x)) (sqrt.f64 (/.f64 8/3 x)) (*.f64 4/9 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 4/9) (/.f64 8/3 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 8/3) (*.f64 4/9 x))
(fma.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 2/3 (sqrt.f64 x)) (/.f64 8/3 x))
(fma.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 8/3 x))
(fma.f64 (*.f64 4/9 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 8/3 x))
(fma.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (*.f64 4/9 x))
(fma.f64 (*.f64 8/3 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 4/9 x))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 x 3)))
(fma.f64 1/9 (pow.f64 x 3) (*.f64 2/3 x))
(*.f64 1/9 (pow.f64 (/.f64 1 x) -3))
(*.f64 1/9 (pow.f64 (pow.f64 x -1) -3))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/9 (pow.f64 (pow.f64 x -1) -3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/9 (pow.f64 (pow.f64 x -1) -3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 2/3 x (*.f64 1/9 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/9 (pow.f64 (pow.f64 x -1) -3) (*.f64 2/3 x))
(*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3))
(+.f64 (*.f64 2/3 x) (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 2/3 x (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 -1/9 (pow.f64 (/.f64 -1 x) -3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 2/3 x (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 -1/9 (pow.f64 (/.f64 -1 x) -3) (*.f64 2/3 x))
(+.f64 (*.f64 2/3 x) (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 2/3 x (*.f64 -1/9 (pow.f64 (/.f64 -1 x) -3)))
(fma.f64 -1/9 (pow.f64 (/.f64 -1 x) -3) (*.f64 2/3 x))
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(/.f64 8/3 x)
(*.f64 4/9 x)
(*.f64 x 4/9)
(*.f64 4/9 x)
(*.f64 x 4/9)
(+.f64 0 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))))
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(+.f64 (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))))
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(+.f64 (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4/9 x)) (*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 x)))
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(+.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (/.f64 8/3 x)) (*.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4/9 x)))
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 x 4/9 (/.f64 8/3 x)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 x 4/9 (/.f64 8/3 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 x 4/9 (/.f64 8/3 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 4/9 x (/.f64 8/3 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/4) x) (fma.f64 x 4/9 (/.f64 8/3 x))))))
(*.f64 (fma.f64 x 4/9 (/.f64 8/3 x)) (*.f64 x (*.f64 1/4 (log.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))))) 1)
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(/.f64 (*.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3))) (*.f64 1/4 (*.f64 x x))) (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)))
(/.f64 (*.f64 1/4 (*.f64 (*.f64 x x) (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)))) (fma.f64 (/.f64 8/3 x) (+.f64 (/.f64 8/3 x) (*.f64 -4/9 x)) (pow.f64 (*.f64 x 4/9) 2)))
(*.f64 (/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (+.f64 (/.f64 8/3 x) (*.f64 x -4/9)) (pow.f64 (*.f64 x 4/9) 2))) (*.f64 x (*.f64 x 1/4)))
(*.f64 (/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (fma.f64 x -4/9 (/.f64 8/3 x)) (pow.f64 (*.f64 x 4/9) 2))) (*.f64 x (*.f64 x 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2))) (*.f64 1/4 (*.f64 x x))) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))) (/.f64 (-.f64 (*.f64 x 4/9) (/.f64 8/3 x)) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 -8/3 x))) (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))))
(*.f64 (/.f64 (fma.f64 64/9 (pow.f64 x -2) (*.f64 (*.f64 x x) -16/81)) (fma.f64 x -4/9 (/.f64 8/3 x))) (*.f64 x (*.f64 x 1/4)))
(/.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3)))) (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)))
(/.f64 (*.f64 1/4 (*.f64 (*.f64 x x) (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)))) (fma.f64 (/.f64 8/3 x) (+.f64 (/.f64 8/3 x) (*.f64 -4/9 x)) (pow.f64 (*.f64 x 4/9) 2)))
(*.f64 (/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (+.f64 (/.f64 8/3 x) (*.f64 x -4/9)) (pow.f64 (*.f64 x 4/9) 2))) (*.f64 x (*.f64 x 1/4)))
(*.f64 (/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (fma.f64 x -4/9 (/.f64 8/3 x)) (pow.f64 (*.f64 x 4/9) 2))) (*.f64 x (*.f64 x 1/4)))
(/.f64 (*.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2)))) (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))) (/.f64 (-.f64 (*.f64 x 4/9) (/.f64 8/3 x)) (*.f64 1/4 (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (*.f64 x 1/4)) (fma.f64 x 4/9 (/.f64 -8/3 x))) (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))))
(*.f64 (/.f64 (fma.f64 64/9 (pow.f64 x -2) (*.f64 (*.f64 x x) -16/81)) (fma.f64 x -4/9 (/.f64 8/3 x))) (*.f64 x (*.f64 x 1/4)))
(pow.f64 (*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 4/9 x (/.f64 8/3 x)))) 1)
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(pow.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 4) 1/2)
(*.f64 x (*.f64 (*.f64 x 1/4) (fma.f64 x 4/9 (/.f64 8/3 x))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x 1/9) (/.f64 2/3 x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(pow.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x)))) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/2 (sqrt.f64 (fma.f64 x 4/9 (/.f64 8/3 x))))) 6))
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(fma.f64 x 4/9 (/.f64 8/3 x))
(pow.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 3) 1/3)
(fma.f64 x 4/9 (/.f64 8/3 x))
(pow.f64 (cbrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))) 3)
(fma.f64 x 4/9 (/.f64 8/3 x))
(pow.f64 (sqrt.f64 (fma.f64 4/9 x (/.f64 8/3 x))) 2)
(fma.f64 x 4/9 (/.f64 8/3 x))
(pow.f64 (/.f64 (fma.f64 (/.f64 8/3 x) (-.f64 (/.f64 8/3 x) (*.f64 4/9 x)) (pow.f64 (*.f64 4/9 x) 2)) (fma.f64 512/27 (pow.f64 x -3) (*.f64 64/729 (pow.f64 x 3)))) -1)
(*.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (/.f64 1 (fma.f64 (/.f64 8/3 x) (+.f64 (/.f64 8/3 x) (*.f64 -4/9 x)) (pow.f64 (*.f64 x 4/9) 2))))
(/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (+.f64 (/.f64 8/3 x) (*.f64 x -4/9)) (pow.f64 (*.f64 x 4/9) 2)))
(/.f64 (fma.f64 512/27 (pow.f64 x -3) (*.f64 (pow.f64 x 3) 64/729)) (fma.f64 (/.f64 8/3 x) (fma.f64 x -4/9 (/.f64 8/3 x)) (pow.f64 (*.f64 x 4/9) 2)))
(pow.f64 (/.f64 (-.f64 (*.f64 4/9 x) (/.f64 8/3 x)) (-.f64 (pow.f64 (*.f64 4/9 x) 2) (*.f64 64/9 (pow.f64 x -2)))) -1)
(/.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))) (-.f64 (*.f64 x 4/9) (/.f64 8/3 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 x 4/9) 2) (*.f64 64/9 (pow.f64 x -2))) (fma.f64 x 4/9 (/.f64 -8/3 x)))
(/.f64 (fma.f64 64/9 (pow.f64 x -2) (*.f64 (*.f64 x x) -16/81)) (fma.f64 x -4/9 (/.f64 8/3 x)))
(sqrt.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 2))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (exp.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4/9 x (/.f64 8/3 x)))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4/9 x))) (exp.f64 (/.f64 8/3 x))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 4/9) x) (+.f64 1 (expm1.f64 (/.f64 8/3 x)))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4/9 x))) (+.f64 1 (expm1.f64 (/.f64 8/3 x)))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))) (pow.f64 (exp.f64 4/9) x)))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (*.f64 (exp.f64 (/.f64 8/3 x)) (+.f64 1 (expm1.f64 (*.f64 4/9 x)))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 8/3 x))) (+.f64 1 (expm1.f64 (*.f64 4/9 x)))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(cbrt.f64 (pow.f64 (fma.f64 4/9 x (/.f64 8/3 x)) 3))
(fma.f64 x 4/9 (/.f64 8/3 x))
(expm1.f64 (log1p.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(log1p.f64 (expm1.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(exp.f64 (log.f64 (fma.f64 4/9 x (/.f64 8/3 x))))
(fma.f64 x 4/9 (/.f64 8/3 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 4/9 x (/.f64 8/3 x))) 1))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 4/9 x (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (*.f64 4/9 x) 1 (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 8/3 (/.f64 1 x) (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 1 (*.f64 4/9 x) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 1 (/.f64 8/3 x) (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (/.f64 1 x) 8/3 (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (/.f64 8/3 x) 1 (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (cbrt.f64 (/.f64 8/3 x)) (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (/.f64 8/3 x)) (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (*.f64 x 4/9))
(fma.f64 (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (cbrt.f64 (/.f64 8/3 x)) (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (/.f64 8/3 x)) (cbrt.f64 (*.f64 64/9 (pow.f64 x -2))) (*.f64 x 4/9))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 4/9) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (cbrt.f64 (/.f64 1 x)) 8/3) (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 8/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x 4/9))
(fma.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (*.f64 x 4/9))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 8/3 (cbrt.f64 (pow.f64 x -1))) (*.f64 x 4/9))
(fma.f64 (cbrt.f64 (*.f64 4/9 x)) (pow.f64 (cbrt.f64 (*.f64 4/9 x)) 2) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4/9 x)) 2) (cbrt.f64 (*.f64 4/9 x)) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (sqrt.f64 (/.f64 8/3 x)) (sqrt.f64 (/.f64 8/3 x)) (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 4/9) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 8/3) (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (*.f64 2/3 (sqrt.f64 x)) (*.f64 2/3 (sqrt.f64 x)) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (*.f64 4/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (*.f64 4/9 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 8/3 x))
(fma.f64 x 4/9 (/.f64 8/3 x))
(fma.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (*.f64 4/9 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 8/3 (cbrt.f64 (/.f64 1 x))) (*.f64 x 4/9))
(fma.f64 (*.f64 8/3 (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 x)) (*.f64 x 4/9))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 8/3 (cbrt.f64 (pow.f64 x -1))) (*.f64 x 4/9))
(fma.f64 (*.f64 8/3 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 4/9 x))
(fma.f64 x 4/9 (/.f64 8/3 x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
2.0ms
x
@0
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
2.0ms
x
@-inf
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
Compiler

Compiled 200 to 167 computations (16.5% saved)

rewrite38.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
629×pow1_binary64
582×add-log-exp_binary64
582×log1p-expm1-u_binary64
582×expm1-log1p-u_binary64
572×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11439
215709
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)))) (#(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 /.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (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 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)))) (#(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 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)))) (#(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 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 log1p.f64 (expm1.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)))))))

simplify39.0ms (0.4%)

Algorithm
egg-herbie
Rules
539×log-prod_binary64
357×fma-def_binary64
331×distribute-rgt-in_binary64
320×distribute-lft-in_binary64
318×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063393
1153360
2413327
32014327
45241327
Stop Event
node limit
Counts
25 → 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 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 1)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(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))))
(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)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(exp.f64 (log.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))
(*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(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 2/3 x (fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 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 (+.f64 1 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 1)
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 x 1/2))) (cos.f64 (*.f64 x 1/2)))
(/.f64 4/3 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 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 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.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 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 3)
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(pow.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)) 2)
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3) 3))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2))) 0)
(*.f64 4/3 (tan.f64 (*.f64 x 1/2)))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
0.3b
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
4.1b
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
Compiler

Compiled 36 to 30 computations (16.7% saved)

series16.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
2.0ms
x
@-inf
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
2.0ms
x
@0
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
2.0ms
x
@inf
(-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
2.0ms
x
@inf
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
Compiler

Compiled 581 to 490 computations (15.7% saved)

rewrite57.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
988×pow1_binary64
922×add-log-exp_binary64
921×log1p-expm1-u_binary64
921×expm1-log1p-u_binary64
110×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122028
2277628
Stop Event
node limit
Counts
3 → 111
Calls
Call 1
Inputs
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
Outputs
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simplify57.0ms (0.6%)

Algorithm
egg-herbie
Rules
539×fma-def_binary64
453×fma-neg_binary64
428×times-frac_binary64
297×cancel-sign-sub-inv_binary64
281×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01972728
14442645
213912559
Stop Event
node limit
Counts
147 → 133
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 2/3 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))))
-1
(-.f64 (*.f64 2/3 x) 1)
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) 1)
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) 1)
(-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(-.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))) (/.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(*.f64 1 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(*.f64 4/3 (tan.f64 (*.f64 1/2 x)))
(*.f64 (tan.f64 (*.f64 1/2 x)) 4/3)
(*.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
(*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))) (*.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2) (*.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 4/3))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) (*.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 (sqrt.f64 (tan.f64 (*.f64 1/2 x))) 4/3))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2)) (/.f64 1 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(*.f64 (*.f64 4/3 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 1/2 x))) 2)) (cbrt.f64 (tan.f64 (*.f64 1/2 x))))
(*.f64 (*.f64 4/3 (sqrt.f64 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 (tan.f64 (*.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))) (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3)) (+.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2)) (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 3) 1) (+.f64 (*.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)) (+.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)) 1) (+.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) 1) (-.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 2)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))))
(cbrt.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(fma.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 2) (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 1)
(+.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(+.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1)
(+.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) -1)
(-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 0)
(-.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))) (/.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))) (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3)) (+.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2)) (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2))) (neg.f64 (-.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 3) 1) (+.f64 (*.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)) (+.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)) 1) (+.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 1))
(/.f64 (-.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2) 1) (-.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) 4/3) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 4/3 (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(pow.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 3)
(pow.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 2)
(pow.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) 1/3)
(sqrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)))
(log.f64 (pow.f64 (exp.f64 4/3) (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))))
(cbrt.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(fma.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 2) (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 1)
(+.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1)
(+.f64 -1 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))))
(*.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))
(*.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) (pow.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 2) (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(*.f64 (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(*.f64 (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1) (/.f64 1 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))))
(*.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1) (/.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1) (-.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)) (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1)))
(/.f64 1 (/.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1)))
(/.f64 (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1) (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)))
(/.f64 (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1) (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (-.f64 1 (*.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1))))
(/.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))
(/.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1) (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1))
(/.f64 (neg.f64 (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1)) (neg.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))))
(/.f64 (neg.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1)) (neg.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)))
(pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 2)
(pow.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2))
(log.f64 (exp.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(cbrt.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3))
(expm1.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(exp.f64 (log.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(fma.f64 1 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1)
(fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)
(fma.f64 (tan.f64 (*.f64 1/2 x)) 4/3 -1)
(fma.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) -1)
(fma.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) -1)
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 4/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2))))
-1
(-.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x -1)
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)) 1)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (fma.f64 2/3 x -1))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x -1))
(fma.f64 2/3 x (fma.f64 1/18 (pow.f64 x 3) -1))
(-.f64 (+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))) 1)
(+.f64 (fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))) -1)
(fma.f64 1/18 (pow.f64 x 3) (+.f64 (fma.f64 1/180 (pow.f64 x 5) (*.f64 2/3 x)) -1))
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(/.f64 (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1) (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (-.f64 1 (*.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1))))
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(/.f64 (fma.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) -1) (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)))
(/.f64 (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) -64/27 1) (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -16/9 (fma.f64 (tan.f64 (*.f64 x 1/2)) -4/3 -1)))
(/.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))
(*.f64 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1) (/.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)))
(/.f64 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1))
(/.f64 (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -16/9 1) (fma.f64 (tan.f64 (*.f64 x 1/2)) -4/3 -1))
(/.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1) (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1))
(*.f64 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1) (/.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)))
(/.f64 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1))
(/.f64 (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -16/9 1) (fma.f64 (tan.f64 (*.f64 x 1/2)) -4/3 -1))
(/.f64 (neg.f64 (+.f64 (*.f64 64/27 (pow.f64 (tan.f64 (*.f64 1/2 x)) 3)) -1)) (neg.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1))))
(*.f64 (fma.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) -1) (/.f64 1 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1))))
(/.f64 (fma.f64 64/27 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) -1) (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)))
(/.f64 (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) -64/27 1) (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -16/9 (fma.f64 (tan.f64 (*.f64 x 1/2)) -4/3 -1)))
(/.f64 (neg.f64 (+.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2)) -1)) (neg.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1)))
(*.f64 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1) (/.f64 1 (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1)))
(/.f64 (fma.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -1) (fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) 1))
(/.f64 (fma.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2) -16/9 1) (fma.f64 (tan.f64 (*.f64 x 1/2)) -4/3 -1))
(pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(pow.f64 (cbrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 3)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(pow.f64 (sqrt.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)) 2)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(pow.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3) 1/3)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 2))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(log.f64 (exp.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1))))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(cbrt.f64 (pow.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1) 3))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(expm1.f64 (log.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(log1p.f64 (expm1.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(exp.f64 (log.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)))
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(fma.f64 1 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) -1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) -1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(fma.f64 (tan.f64 (*.f64 1/2 x)) 4/3 -1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)
(fma.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 1/2 x)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) -1)
(fma.f64 (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) -1)
(fma.f64 (cbrt.f64 (*.f64 4/3 (tan.f64 (*.f64 x 1/2)))) (cbrt.f64 (*.f64 16/9 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))) -1)
(fma.f64 (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) (sqrt.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x)))) -1)
(fma.f64 4/3 (tan.f64 (*.f64 x 1/2)) -1)

eval142.0ms (1.5%)

Compiler

Compiled 6330 to 5059 computations (20.1% saved)

prune61.0ms (0.6%)

Pruning

21 alts after pruning (11 fresh and 10 done)

PrunedKeptTotal
New3775382
Fresh167
Picked011
Done099
Total37821399
Error
0b
Counts
399 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
33.3b
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
60.5b
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
28.5b
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
0.4b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
0.1b
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
0.3b
(/.f64 1 (/.f64 3/4 (tan.f64 (*.f64 x 1/2))))
27.4b
(-.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 1)
60.1b
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
61.3b
(-.f64 1 1)
48.3b
(+.f64 (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
27.5b
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
47.9b
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
48.3b
(*.f64 (+.f64 (*.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))) (*.f64 x (*.f64 x 1/4)))
48.3b
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
48.3b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
61.6b
(*.f64 (*.f64 x 4/9) (*.f64 x (*.f64 x 1/4)))
0.3b
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
33.3b
(*.f64 x 2/3)
28.3b
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
28.3b
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
47.7b
(fabs.f64 (*.f64 x 2/3))
Compiler

Compiled 224 to 179 computations (20.1% saved)

regimes70.0ms (0.7%)

Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(-.f64 1 1)
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 (*.f64 x 4/9) (*.f64 x (*.f64 x 1/4)))
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
(*.f64 (+.f64 (*.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))) (*.f64 x (*.f64 x 1/4)))
(+.f64 (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
(fabs.f64 (*.f64 x 2/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
(/.f64 (tan.f64 (*.f64 x 1/2)) 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 (tan.f64 (/.f64 x 2)) 3/8) 2)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 x (*.f64 x 1/4)))
(+.f64 1 (-.f64 (*.f64 4/3 (tan.f64 (*.f64 1/2 x))) 1))
(*.f64 4/3 (/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 4/3 (tan.f64 (*.f64 1/2 x)) 1) 1)
(/.f64 (-.f64 4/3 (/.f64 (cos.f64 x) 3/4)) (sin.f64 x))
(neg.f64 (/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) -3/4)))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 (-.f64 1 (cos.f64 x)) 3/4))
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 4/3) (cos.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (-.f64 1 (cos.f64 x))) 2)
(/.f64 (+.f64 4/3 (*.f64 8/3 (*.f64 (cos.f64 x) -1/2))) (sin.f64 x))
(/.f64 (-.f64 1 (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) 3/8) 2))
(*.f64 (/.f64 1 (sin.f64 x)) (*.f64 8/3 (-.f64 1/2 (*.f64 1/2 (cos.f64 x)))))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4) 3))
(pow.f64 (sqrt.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4)) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (/.f64 x 2)) 3/4))) 1)
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (*.f64 8/3 (/.f64 1 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sin.f64 (*.f64 x 1/2)))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 8/3) (sin.f64 (*.f64 x 1/2))) 2) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(*.f64 (/.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 2))) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (cos.f64 (*.f64 x 1/2)) 2)) (sin.f64 (*.f64 x 1/2)))))
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
Calls

3 calls:

20.0ms
x
18.0ms
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
17.0ms
(/.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))
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 565 to 423 computations (25.1% saved)

regimes13.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(-.f64 1 1)
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 (*.f64 x 4/9) (*.f64 x (*.f64 x 1/4)))
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
(*.f64 (+.f64 (*.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))) (*.f64 x (*.f64 x 1/4)))
(+.f64 (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
(fabs.f64 (*.f64 x 2/3))
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 (tan.f64 (*.f64 x 1/2)) 4/3)
(/.f64 (sin.f64 (*.f64 x 1/2)) 3/4)
Outputs
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
Calls

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -29.2b remaining (-87.7%)

Threshold costs -29.2b (-87.7%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x 2/3)
(-.f64 1 1)
(-.f64 (+.f64 1 (*.f64 x 2/3)) 1)
(*.f64 (*.f64 x 4/9) (*.f64 x (*.f64 x 1/4)))
(*.f64 (/.f64 8/3 x) (*.f64 x (*.f64 x 1/4)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x 1/9) (/.f64 2/3 x)))
(*.f64 (+.f64 (*.f64 4/9 x) (*.f64 8/3 (/.f64 1 x))) (*.f64 x (*.f64 x 1/4)))
(*.f64 (+.f64 (*.f64 4/9 x) (/.f64 1 (/.f64 x 8/3))) (*.f64 x (*.f64 x 1/4)))
(+.f64 (*.f64 (/.f64 8/3 x) (*.f64 1/4 (*.f64 x x))) (*.f64 (*.f64 4/9 x) (*.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 x 2/3)) (+.f64 1 (*.f64 x 2/3))) 1) (+.f64 (+.f64 1 (*.f64 x 2/3)) 1))
(fabs.f64 (*.f64 x 2/3))
Outputs
(*.f64 x 2/3)
Calls

1 calls:

7.0ms
x
Results
ErrorSegmentsBranch
33.3b1x
Compiler

Compiled 119 to 86 computations (27.7% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11722
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 x 2/3)
Outputs
(/.f64 (tan.f64 (*.f64 x 1/2)) 3/4)
(*.f64 4/3 (tan.f64 (/.f64 x 2)))
(*.f64 x 2/3)
Compiler

Compiled 18 to 15 computations (16.7% saved)

soundness10.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
associate-*r*_binary64
associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
12022
23122
34422
45222
56122
Stop Event
saturated
Compiler

Compiled 66 to 54 computations (18.2% saved)

end23.0ms (0.2%)

Compiler

Compiled 16 to 13 computations (18.8% saved)

Profiling

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