Details

Time bar (total: 6.4s)

analyze1.3s (20%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
37.5%62.5%0%4
43.7%56.2%0%5
46.9%53.1%0%6
48.4%51.5%0%7
49.2%50.8%0%8
49.6%50.4%0%9
49.8%50.2%0%10
49.9%50.1%0%11
49.9%50%0%12
50%50%0%13
50%49.9%0%14
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample3.7s (58.8%)

Results
2.1s2051×body1024valid
902.0ms4689×body128valid
571.0ms1054×body512valid
175.0ms452×body256valid
26.0ms10×body2048valid
Compiler

Compiled 36 to 30 computations (16.7% saved)

preprocess22.0ms (0.3%)

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

Compiled 17 to 14 computations (17.6% saved)

simplify7.0ms (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 → 2
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 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 8/3))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) 8/3)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.4b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
14.7b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 95 to 76 computations (20% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series8.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

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

rewrite51.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
499×log-prod_binary64
261×pow2_binary64
185×pow1/3_binary64
184×expm1-udef_binary64
184×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01042
120937
2250037
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(/.f64 8/3 (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
Outputs
((#(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))) (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 64/9 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (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 exp.f64 (log.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 8/3 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/3 (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 1)))) (#(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 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)) 1/3)))) (#(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 sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.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)) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (/.f64 8/3 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (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 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 8/3 (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 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.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)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 1) (*.f64 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) -8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (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 (*.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))

simplify31.0ms (0.5%)

Algorithm
egg-herbie
Rules
690×fma-def_binary64
517×unswap-sqr_binary64
481×associate-*l*_binary64
355×associate-*r*_binary64
232×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062413
1147407
2344401
3979401
43067401
Stop Event
node limit
Counts
110 → 108
Calls
Call 1
Inputs
(/.f64 8/3 x)
(+.f64 (*.f64 8/3 (/.f64 1 x)) (*.f64 4/9 x))
(+.f64 (*.f64 8/3 (/.f64 1 x)) (+.f64 (*.f64 4/9 x) (*.f64 7/135 (pow.f64 x 3))))
(+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 8/3 (/.f64 1 x)) (+.f64 (*.f64 4/9 x) (*.f64 7/135 (pow.f64 x 3)))))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(*.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 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.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 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)))
Outputs
(/.f64 8/3 x)
(+.f64 (*.f64 8/3 (/.f64 1 x)) (*.f64 4/9 x))
(+.f64 (/.f64 8/3 x) (*.f64 x 4/9))
(fma.f64 x 4/9 (/.f64 8/3 x))
(+.f64 (*.f64 8/3 (/.f64 1 x)) (+.f64 (*.f64 4/9 x) (*.f64 7/135 (pow.f64 x 3))))
(+.f64 (/.f64 8/3 x) (fma.f64 4/9 x (*.f64 7/135 (pow.f64 x 3))))
(+.f64 (/.f64 8/3 x) (fma.f64 7/135 (pow.f64 x 3) (*.f64 x 4/9)))
(fma.f64 x 4/9 (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x)))
(+.f64 (*.f64 31/5670 (pow.f64 x 5)) (+.f64 (*.f64 8/3 (/.f64 1 x)) (+.f64 (*.f64 4/9 x) (*.f64 7/135 (pow.f64 x 3)))))
(fma.f64 31/5670 (pow.f64 x 5) (+.f64 (/.f64 8/3 x) (fma.f64 4/9 x (*.f64 7/135 (pow.f64 x 3)))))
(+.f64 (fma.f64 7/135 (pow.f64 x 3) (*.f64 x 4/9)) (fma.f64 31/5670 (pow.f64 x 5) (/.f64 8/3 x)))
(fma.f64 31/5670 (pow.f64 x 5) (fma.f64 x 4/9 (fma.f64 7/135 (pow.f64 x 3) (/.f64 8/3 x))))
(fma.f64 7/135 (pow.f64 x 3) (fma.f64 31/5670 (pow.f64 x 5) (fma.f64 x 4/9 (/.f64 8/3 x))))
(fma.f64 x 4/9 (fma.f64 7/135 (pow.f64 x 3) (fma.f64 31/5670 (pow.f64 x 5) (/.f64 8/3 x))))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) 4/3)
(fma.f64 x (*.f64 x 1/6) 4/3)
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (*.f64 1/6 (*.f64 x x))))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 4/3))
(fma.f64 x (*.f64 x 1/6) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (*.f64 1/6 (*.f64 x x)))))
(+.f64 (fma.f64 5/288 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 4/3)) (*.f64 61/34560 (pow.f64 x 6)))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (fma.f64 61/34560 (pow.f64 x 6) 4/3)))
(fma.f64 61/34560 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/6) (fma.f64 5/288 (pow.f64 x 4) 4/3)))
(fma.f64 x (*.f64 x 1/6) (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)))
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 (pow.f64 x 3) 1/18))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3)))
(fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3)))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 x 2/3 (*.f64 (pow.f64 x 5) 1/180)))
(fma.f64 x (fma.f64 x (*.f64 x 1/18) 2/3) (*.f64 (pow.f64 x 5) 1/180))
(fma.f64 (pow.f64 x 3) 1/18 (fma.f64 (pow.f64 x 5) 1/180 (*.f64 x 2/3)))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))))
(fma.f64 (pow.f64 x 5) 1/180 (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) 1/18 (*.f64 x 2/3))))
(fma.f64 (pow.f64 x 5) 1/180 (fma.f64 x 2/3 (fma.f64 (pow.f64 x 3) 1/18 (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 17/30240 (pow.f64 x 7) (*.f64 (pow.f64 x 3) 1/18))))
(fma.f64 x 2/3 (fma.f64 (pow.f64 x 5) 1/180 (fma.f64 (pow.f64 x 3) 1/18 (*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))
(*.f64 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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 (sin.f64 x) 8/3))

prune115.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9711108
Fresh101
Picked101
Done000
Total9911110
Error
0.0b
Counts
110 → 11
Alt Table
StatusErrorProgram
0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))))
1.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))
1.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x))))
14.7b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
37.8b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
24.0b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
14.8b
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
22.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 8/3 (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))))
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) -1))
1.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3))
Compiler

Compiled 2177 to 1684 computations (22.6% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

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

rewrite50.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
524×log-prod_binary64
185×expm1-udef_binary64
185×log1p-udef_binary64
170×pow3_binary64
164×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
125347
2263947
Stop Event
node limit
Counts
3 → 86
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.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 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (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 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 8/3 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) 8/3) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8/3 (neg.f64 (sin.f64 (*.f64 x 1/2)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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 (sin.f64 x) (*.f64 8/3 (sin.f64 (*.f64 x 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 64/9 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3))))) (#(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 log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(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 +.f64 0 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 1 (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) 1) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x 1/2))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x 1/2))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.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 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))))

simplify33.0ms (0.5%)

Algorithm
egg-herbie
Rules
782×fma-def_binary64
562×associate-*l*_binary64
517×unswap-sqr_binary64
410×associate-*r*_binary64
404×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057298
1138290
2332286
3973286
43487286
Stop Event
node limit
Counts
106 → 109
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.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 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)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 (*.f64 5/768 (pow.f64 x 4)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2))))
(+.f64 (*.f64 5/768 (pow.f64 x 4)) (+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (*.f64 1/16 (pow.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 x (fma.f64 1/18 (*.f64 x x) 2/3))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 1/180 (pow.f64 x 5) (*.f64 x (fma.f64 1/18 (*.f64 x x) 2/3)))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 2/3 x (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3)))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) 4/3)
(fma.f64 x (*.f64 x 1/6) 4/3)
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (*.f64 1/6 (*.f64 x x))))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 4/3))
(fma.f64 x (*.f64 x 1/6) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) 4/3))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (*.f64 1/6 (*.f64 x x)))))
(+.f64 (fma.f64 1/6 (*.f64 x x) (*.f64 61/34560 (pow.f64 x 6))) (fma.f64 5/288 (pow.f64 x 4) 4/3))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 61/34560 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/6) 4/3)))
(fma.f64 61/34560 (pow.f64 x 6) (fma.f64 5/288 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) 4/3)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 5/288 1/6) (fma.f64 61/34560 (pow.f64 x 6) 4/3))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (*.f64 (*.f64 x x) 1/16))
(fma.f64 (*.f64 x x) 1/16 1/2)
(fma.f64 x (*.f64 x 1/16) 1/2)
(+.f64 (*.f64 5/768 (pow.f64 x 4)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2))))
(fma.f64 5/768 (pow.f64 x 4) (+.f64 1/2 (*.f64 (*.f64 x x) 1/16)))
(fma.f64 (pow.f64 x 4) 5/768 (fma.f64 (*.f64 x x) 1/16 1/2))
(fma.f64 x (*.f64 x 1/16) (fma.f64 (pow.f64 x 4) 5/768 1/2))
(+.f64 (*.f64 5/768 (pow.f64 x 4)) (+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (*.f64 1/16 (pow.f64 x 2)))))
(fma.f64 5/768 (pow.f64 x 4) (+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/16))))
(+.f64 (fma.f64 (pow.f64 x 6) 61/92160 (*.f64 x (*.f64 x 1/16))) (fma.f64 (pow.f64 x 4) 5/768 1/2))
(fma.f64 (pow.f64 x 4) 5/768 (fma.f64 x (*.f64 x 1/16) (fma.f64 (pow.f64 x 6) 61/92160 1/2)))
(fma.f64 x (*.f64 x 1/16) (fma.f64 (pow.f64 x 6) 61/92160 (fma.f64 (pow.f64 x 4) 5/768 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 5/768) 1/16) (fma.f64 (pow.f64 x 6) 61/92160 1/2))

prune107.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1036109
Fresh4610
Picked101
Done000
Total10812120
Error
0.0b
Counts
120 → 12
Alt Table
StatusErrorProgram
0.6b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))
14.7b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
1.4b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3)
1.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))
0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
1.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))))
24.0b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
14.8b
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
1.2b
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))
20.4b
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
1.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3))
Compiler

Compiled 2449 to 1876 computations (23.4% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite54.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
536×log-prod_binary64
192×expm1-udef_binary64
192×log1p-udef_binary64
173×prod-diff_binary64
158×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
121642
2275642
Stop Event
node limit
Counts
3 → 95
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))
(/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (sqrt.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -8/3 (sin.f64 (*.f64 x 1/2))) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3) (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (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 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))) (#(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 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8/3 (/.f64 1 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 1) (sin.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) (cbrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (sqrt.f64 (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))))))))

simplify41.0ms (0.6%)

Algorithm
egg-herbie
Rules
740×fma-def_binary64
650×associate-*l*_binary64
483×unswap-sqr_binary64
263×cancel-sign-sub-inv_binary64
174×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060498
1150494
2368488
31157486
44229486
Stop Event
node limit
Counts
131 → 121
Calls
Call 1
Inputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.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 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)))
2
(-.f64 2 (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/192 (pow.f64 x 4)) 2) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/192 (pow.f64 x 4)) 2) (+.f64 (*.f64 1/23040 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(/.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)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(*.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)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x)))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 1/18 (pow.f64 x 3))))
(+.f64 (*.f64 1/180 (pow.f64 x 5)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (*.f64 2/3 x))))
(fma.f64 x (fma.f64 x (*.f64 x 1/18) 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 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (/.f64 8/3 (sin.f64 x)))
2
(-.f64 2 (*.f64 1/4 (pow.f64 x 2)))
(+.f64 2 (*.f64 -1/4 (*.f64 x x)))
(+.f64 2 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 2)
(fma.f64 x (*.f64 x -1/4) 2)
(-.f64 (+.f64 (*.f64 1/192 (pow.f64 x 4)) 2) (*.f64 1/4 (pow.f64 x 2)))
(-.f64 (fma.f64 1/192 (pow.f64 x 4) 2) (*.f64 1/4 (*.f64 x x)))
(+.f64 (fma.f64 1/192 (pow.f64 x 4) 2) (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 (fma.f64 1/192 (pow.f64 x 4) 2))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/4) 2))
(-.f64 (+.f64 (*.f64 1/192 (pow.f64 x 4)) 2) (+.f64 (*.f64 1/23040 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 2))))
(-.f64 (fma.f64 1/192 (pow.f64 x 4) 2) (fma.f64 1/23040 (pow.f64 x 6) (*.f64 1/4 (*.f64 x x))))
(-.f64 (fma.f64 1/192 (pow.f64 x 4) 2) (fma.f64 1/4 (*.f64 x x) (*.f64 1/23040 (pow.f64 x 6))))
(+.f64 (fma.f64 1/192 (pow.f64 x 4) 2) (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 6) -1/23040)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 6) -1/23040 (fma.f64 1/192 (pow.f64 x 4) 2)))
(fma.f64 (pow.f64 x 6) -1/23040 (fma.f64 1/192 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/4) 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)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) 1/6))
(fma.f64 (*.f64 x x) 1/6 4/3)
(fma.f64 x (*.f64 x 1/6) 4/3)
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (*.f64 (*.f64 x x) 1/6)))
(fma.f64 (pow.f64 x 4) 5/288 (fma.f64 (*.f64 x x) 1/6 4/3))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 5/288 4/3))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/6))))
(+.f64 (fma.f64 (pow.f64 x 6) 61/34560 (*.f64 x (*.f64 x 1/6))) (fma.f64 (pow.f64 x 4) 5/288 4/3))
(fma.f64 (pow.f64 x 4) 5/288 (fma.f64 (pow.f64 x 6) 61/34560 (fma.f64 (*.f64 x x) 1/6 4/3)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 6) 61/34560 (fma.f64 (pow.f64 x 4) 5/288 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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.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 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))

prune120.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh2911
Picked011
Done000
Total12112133
Error
0.0b
Counts
133 → 12
Alt Table
StatusErrorProgram
0.5b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
1.4b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3)
1.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))
32.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))
14.7b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
24.0b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
14.8b
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
1.2b
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))
20.4b
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
1.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))) 3))
Compiler

Compiled 2568 to 1969 computations (23.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
0.4b
(/.f64 8/3 (sin.f64 x))
0.7b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
0.8b
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)

series13.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
2.0ms
x
@0
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)
2.0ms
x
@inf
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
1.0ms
x
@0
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
1.0ms
x
@inf
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)

rewrite61.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
509×log-prod_binary64
196×expm1-udef_binary64
196×log1p-udef_binary64
162×log-pow_binary64
155×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
125945
2280845
Stop Event
node limit
Counts
3 → 112
Calls
Call 1
Inputs
(pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8/3 (sin.f64 x)) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) 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simplify30.0ms (0.5%)

Algorithm
egg-herbie
Rules
775×fma-def_binary64
684×associate-*l*_binary64
538×associate-*r*_binary64
268×associate-/l*_binary64
255×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062600
1150592
2391578
31324538
Stop Event
node limit
Counts
148 → 111
Calls
Call 1
Inputs
64/27
(+.f64 64/27 (*.f64 8/9 (pow.f64 x 2)))
(+.f64 (*.f64 11/54 (pow.f64 x 4)) (+.f64 64/27 (*.f64 8/9 (pow.f64 x 2))))
(+.f64 (*.f64 11/54 (pow.f64 x 4)) (+.f64 64/27 (+.f64 (*.f64 241/6480 (pow.f64 x 6)) (*.f64 8/9 (pow.f64 x 2)))))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 1/2 (cbrt.f64 512/27))
(+.f64 (*.f64 1/16 (*.f64 (cbrt.f64 512/27) (pow.f64 x 2))) (*.f64 1/2 (cbrt.f64 512/27)))
(+.f64 (*.f64 1/16 (*.f64 (cbrt.f64 512/27) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (cbrt.f64 512/27)) (*.f64 5/768 (*.f64 (cbrt.f64 512/27) (pow.f64 x 4)))))
(+.f64 (*.f64 61/92160 (*.f64 (cbrt.f64 512/27) (pow.f64 x 6))) (+.f64 (*.f64 1/16 (*.f64 (cbrt.f64 512/27) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (cbrt.f64 512/27)) (*.f64 5/768 (*.f64 (cbrt.f64 512/27) (pow.f64 x 4))))))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(*.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)))
Outputs
64/27
(+.f64 64/27 (*.f64 8/9 (pow.f64 x 2)))
(+.f64 64/27 (*.f64 8/9 (*.f64 x x)))
(fma.f64 8/9 (*.f64 x x) 64/27)
(+.f64 (*.f64 11/54 (pow.f64 x 4)) (+.f64 64/27 (*.f64 8/9 (pow.f64 x 2))))
(fma.f64 11/54 (pow.f64 x 4) (+.f64 64/27 (*.f64 8/9 (*.f64 x x))))
(fma.f64 11/54 (pow.f64 x 4) (fma.f64 8/9 (*.f64 x x) 64/27))
(fma.f64 8/9 (*.f64 x x) (fma.f64 11/54 (pow.f64 x 4) 64/27))
(+.f64 (*.f64 11/54 (pow.f64 x 4)) (+.f64 64/27 (+.f64 (*.f64 241/6480 (pow.f64 x 6)) (*.f64 8/9 (pow.f64 x 2)))))
(fma.f64 11/54 (pow.f64 x 4) (+.f64 64/27 (fma.f64 241/6480 (pow.f64 x 6) (*.f64 8/9 (*.f64 x x)))))
(+.f64 (fma.f64 241/6480 (pow.f64 x 6) (*.f64 8/9 (*.f64 x x))) (fma.f64 11/54 (pow.f64 x 4) 64/27))
(fma.f64 11/54 (pow.f64 x 4) (fma.f64 8/9 (*.f64 x x) (fma.f64 241/6480 (pow.f64 x 6) 64/27)))
(fma.f64 8/9 (*.f64 x x) (fma.f64 11/54 (pow.f64 x 4) (fma.f64 241/6480 (pow.f64 x 6) 64/27)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 512/27 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (/.f64 512/27 (pow.f64 (sin.f64 x) 3)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 3))
(*.f64 512/27 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 3))
(*.f64 1/2 (cbrt.f64 512/27))
(+.f64 (*.f64 1/16 (*.f64 (cbrt.f64 512/27) (pow.f64 x 2))) (*.f64 1/2 (cbrt.f64 512/27)))
(fma.f64 1/16 (*.f64 (*.f64 x x) (cbrt.f64 512/27)) (*.f64 1/2 (cbrt.f64 512/27)))
(fma.f64 1/2 (cbrt.f64 512/27) (*.f64 (*.f64 1/16 (*.f64 x x)) (cbrt.f64 512/27)))
(*.f64 (cbrt.f64 512/27) (+.f64 (*.f64 x (*.f64 x 1/16)) 1/2))
(*.f64 (cbrt.f64 512/27) (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 (*.f64 1/16 (*.f64 (cbrt.f64 512/27) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (cbrt.f64 512/27)) (*.f64 5/768 (*.f64 (cbrt.f64 512/27) (pow.f64 x 4)))))
(fma.f64 1/16 (*.f64 (*.f64 x x) (cbrt.f64 512/27)) (fma.f64 1/2 (cbrt.f64 512/27) (*.f64 5/768 (*.f64 (pow.f64 x 4) (cbrt.f64 512/27)))))
(fma.f64 1/16 (*.f64 (*.f64 x x) (cbrt.f64 512/27)) (fma.f64 1/2 (cbrt.f64 512/27) (*.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 512/27) 5/768))))
(fma.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 512/27) 5/768) (*.f64 (cbrt.f64 512/27) (+.f64 (*.f64 x (*.f64 x 1/16)) 1/2)))
(*.f64 (cbrt.f64 512/27) (+.f64 (*.f64 x (*.f64 x 1/16)) (fma.f64 (pow.f64 x 4) 5/768 1/2)))
(+.f64 (*.f64 61/92160 (*.f64 (cbrt.f64 512/27) (pow.f64 x 6))) (+.f64 (*.f64 1/16 (*.f64 (cbrt.f64 512/27) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (cbrt.f64 512/27)) (*.f64 5/768 (*.f64 (cbrt.f64 512/27) (pow.f64 x 4))))))
(fma.f64 61/92160 (*.f64 (pow.f64 x 6) (cbrt.f64 512/27)) (fma.f64 1/16 (*.f64 (*.f64 x x) (cbrt.f64 512/27)) (fma.f64 1/2 (cbrt.f64 512/27) (*.f64 5/768 (*.f64 (pow.f64 x 4) (cbrt.f64 512/27))))))
(fma.f64 61/92160 (*.f64 (pow.f64 x 6) (cbrt.f64 512/27)) (fma.f64 1/16 (*.f64 (*.f64 x x) (cbrt.f64 512/27)) (fma.f64 1/2 (cbrt.f64 512/27) (*.f64 (pow.f64 x 4) (*.f64 (cbrt.f64 512/27) 5/768)))))
(+.f64 (*.f64 (cbrt.f64 512/27) (+.f64 (*.f64 (pow.f64 x 4) 5/768) 1/2)) (*.f64 (cbrt.f64 512/27) (+.f64 (*.f64 x (*.f64 x 1/16)) (*.f64 (pow.f64 x 6) 61/92160))))
(*.f64 (cbrt.f64 512/27) (+.f64 (fma.f64 (pow.f64 x 4) 5/768 1/2) (fma.f64 x (*.f64 x 1/16) (*.f64 (pow.f64 x 6) 61/92160))))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (cbrt.f64 512/27)))
(*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (cbrt.f64 512/27))
(*.f64 (cbrt.f64 512/27) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 512/27) (sin.f64 x)))
4/3
(+.f64 4/3 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 4/3 (*.f64 (*.f64 x x) 1/6))
(fma.f64 (*.f64 x x) 1/6 4/3)
(fma.f64 x (*.f64 x 1/6) 4/3)
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (*.f64 1/6 (pow.f64 x 2))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (*.f64 (*.f64 x x) 1/6)))
(fma.f64 (pow.f64 x 4) 5/288 (fma.f64 (*.f64 x x) 1/6 4/3))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) 5/288 4/3))
(+.f64 (*.f64 5/288 (pow.f64 x 4)) (+.f64 4/3 (+.f64 (*.f64 61/34560 (pow.f64 x 6)) (*.f64 1/6 (pow.f64 x 2)))))
(fma.f64 5/288 (pow.f64 x 4) (+.f64 4/3 (fma.f64 61/34560 (pow.f64 x 6) (*.f64 (*.f64 x x) 1/6))))
(+.f64 (fma.f64 (*.f64 x x) 1/6 (*.f64 (pow.f64 x 6) 61/34560)) (fma.f64 (pow.f64 x 4) 5/288 4/3))
(fma.f64 (pow.f64 x 4) 5/288 (fma.f64 (pow.f64 x 6) 61/34560 (fma.f64 x (*.f64 x 1/6) 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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (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 x) (sin.f64 (*.f64 x 1/2))))
(*.f64 (/.f64 8/3 (sin.f64 x)) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))

prune140.0ms (2.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1431144
Fresh1910
Picked101
Done011
Total14511156
Error
0.0b
Counts
156 → 11
Alt Table
StatusErrorProgram
0.5b
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) (/.f64 1 (sin.f64 (*.f64 x 1/2))))
1.4b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))) 3)
1.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (/.f64 8/3 (sin.f64 x))) 3)))
0.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cbrt.f64 512/27)) (sin.f64 x)))
32.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 x 1/2)))) (/.f64 (sin.f64 x) (sqrt.f64 (sin.f64 (*.f64 x 1/2)))))))
14.7b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
24.0b
(expm1.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))
14.8b
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
1.2b
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) (*.f64 8/3 (sin.f64 (*.f64 x 1/2))))))
20.4b
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 3) (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
Compiler

Compiled 3272 to 2542 computations (22.3% saved)

regimes222.0ms (3.5%)

Accuracy

Total 0.4b remaining (89.8%)

Threshold costs 0.4b (89.8%)

Counts
158 → 1
Compiler

Compiled 2454 to 1844 computations (24.9% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
11322
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3))
Outputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 8/3))

end179.0ms (2.8%)

Stop Event
fuel
Compiler

Compiled 213 to 176 computations (17.4% saved)

Profiling

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