Details

Time bar (total: 6.5s)

analyze1.4s (21.7%)

Algorithm
1×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)

sample3.5s (53.4%)

Results
1.6s2079×body1024valid
1.0s4649×body128valid
610.0ms1028×body512valid
188.0ms493×body256valid
9.0ms7×body2048valid

preprocess19.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
12022
23122
34422
45222
56122
Stop Event
1×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))))

eval1.0ms (0%)

Compiler

Compiled 31 to 24 computations (22.6% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.6b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
15.0b
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
▶0.7b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
Compiler

Compiled 64 to 52 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 8/3 (sin.f64 x))
✓0.4b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))
✓0.6b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))

series8.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
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 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
@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
1×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
2249937
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(*.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))))
(/.f64 8/3 (sin.f64 x))
Outputs
((#(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 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))))) (#(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 (sin.f64 x) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.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)) 8/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (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 (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 (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 (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 (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 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.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 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 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 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)))))))))
((#(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 (sin.f64 (*.f64 x 1/2)) 8/3) (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 (sin.f64 (*.f64 x 1/2)) 8/3)) (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 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)) 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 (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))))))))
((#(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))))))))

simplify44.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
708×fma-def_binary64
517×unswap-sqr_binary64
474×associate-*l*_binary64
345×associate-*r*_binary64
232×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065405
1156403
2361401
31020401
43047401
54995401
Stop Event
1×node limit
Counts
110 → 108
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 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)))))
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))))
(+.f64 (fma.f64 61/34560 (pow.f64 x 6) (*.f64 5/288 (pow.f64 x 4))) (fma.f64 1/6 (*.f64 x x) 4/3))
(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)))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 61/34560 (pow.f64 x 6) (fma.f64 1/6 (*.f64 x x) 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 (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 (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 (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 (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 (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 (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 (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 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))
(*.f64 2/3 x)
(*.f64 x 2/3)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 x 2/3))
(fma.f64 x 2/3 (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3)))
(fma.f64 x 2/3 (fma.f64 1/18 (pow.f64 x 3) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/180 (pow.f64 x 5) (*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3)))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 17/30240 (pow.f64 x 7)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5)))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (*.f64 x 2/3))))
(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 x 2/3))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x 1/18) 2/3) (*.f64 17/30240 (pow.f64 x 7))))
(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 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (sin.f64 x)))
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(/.f64 8/3 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))))
(fma.f64 x 4/9 (fma.f64 (pow.f64 x 3) 7/135 (fma.f64 (pow.f64 x 5) 31/5670 (/.f64 8/3 x))))
(fma.f64 x (fma.f64 (*.f64 x x) 7/135 4/9) (fma.f64 (pow.f64 x 5) 31/5670 (/.f64 8/3 x)))

eval42.0ms (0.6%)

Compiler

Compiled 1813 to 1378 computations (24% saved)

prune118.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New9216108
Fresh101
Picked101
Done000
Total9416110
Error
0.0b
Counts
110 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
15.0b
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
▶0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
0.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
19.8b
(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)))
19.8b
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
38.8b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
32.6b
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
1.2b
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 3))
42.2b
(pow.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)) 1/3)
15.1b
(*.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))
32.2b
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
15.8b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
15.0b
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
0.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))
15.0b
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
34.7b
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))))
Compiler

Compiled 536 to 450 computations (16% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite54.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
536×log-prod_binary64
187×expm1-udef_binary64
187×log1p-udef_binary64
172×pow3_binary64
164×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
120940
2263940
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) 8/3)
(/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3)))))) (#(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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 /.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) -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)) (*.f64 (sin.f64 (*.f64 x 1/2)) -8/3)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (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 (*.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 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))))
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((#(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 (exp.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))) (cbrt.f64 (exp.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (*.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 (exp.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (*.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 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (*.f64 (sin.f64 x) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (/.f64 1 (sin.f64 x))))))) 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(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 cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3) (pow.f64 (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)))))))))

simplify35.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
724×fma-def_binary64
517×unswap-sqr_binary64
488×associate-*l*_binary64
364×associate-*r*_binary64
232×distribute-lft-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063486
1152484
2362482
31039482
43135482
Stop Event
1×node limit
Counts
128 → 120
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)))
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)))
Outputs
(*.f64 2/3 x)
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (*.f64 2/3 x))
(fma.f64 1/18 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x 1/18) 2/3))
(+.f64 (*.f64 1/18 (pow.f64 x 3)) (+.f64 (*.f64 2/3 x) (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 1/180 (pow.f64 x 5))))
(fma.f64 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))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.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 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))))
(fma.f64 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.f64 2/3 x (*.f64 1/18 (pow.f64 x 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 (/.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 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 (pow.f64 x 3) -1/18 (*.f64 x 4/3))
(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 (pow.f64 x 5) 1/1440 (*.f64 x 4/3)))
(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 (pow.f64 x 5) 1/1440 (*.f64 x 4/3))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 3) -1/18 (fma.f64 (pow.f64 x 5) 1/1440 (*.f64 (pow.f64 x 7) -1/241920))))
(fma.f64 x 4/3 (fma.f64 (pow.f64 x 5) 1/1440 (fma.f64 (pow.f64 x 7) -1/241920 (*.f64 (pow.f64 x 3) -1/18))))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
(*.f64 8/3 (sin.f64 (*.f64 1/2 x)))
(*.f64 8/3 (sin.f64 (*.f64 x 1/2)))
4/3
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 4/3)
(fma.f64 1/6 (*.f64 x x) 4/3)
(fma.f64 x (*.f64 x 1/6) 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))
(fma.f64 5/288 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) 4/3))
(fma.f64 x (*.f64 x 1/6) (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 (fma.f64 5/288 (pow.f64 x 4) (*.f64 61/34560 (pow.f64 x 6))) (fma.f64 1/6 (*.f64 x x) 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)))
(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)))
(*.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 (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 (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 (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 (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 (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 (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 (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 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))

eval49.0ms (0.8%)

Compiler

Compiled 2134 to 1607 computations (24.7% saved)

prune147.0ms (2.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1119120
Fresh11415
Picked101
Done000
Total12313136
Error
0.0b
Counts
136 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 8/3 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (sin.f64 x)))))
42.2b
(pow.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)) 1/3)
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sin.f64 x)))
22.7b
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))
0.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
19.8b
(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)))
1.7b
(*.f64 (sin.f64 (*.f64 x 1/2)) (log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
▶0.3b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
15.0b
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3)) -1)
31.5b
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))
19.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3)) (sin.f64 x)))
34.7b
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))))))
Compiler

Compiled 530 to 440 computations (17% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite61.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
554×log-prod_binary64
193×expm1-udef_binary64
193×log1p-udef_binary64
182×prod-diff_binary64
159×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
121445
2280145
Stop Event
1×node limit
Counts
3 → 108
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 (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 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))))) (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 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)) 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simplify36.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
778×fma-def_binary64
601×associate-*l*_binary64
517×unswap-sqr_binary64
415×associate-*r*_binary64
404×distribute-rgt-out_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059498
1139488
2332486
31007486
43657486
Stop Event
1×node limit
Counts
144 → 135
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)))
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)))
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))))
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 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.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))))
(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 17/30240 (pow.f64 x 7) (fma.f64 1/180 (pow.f64 x 5) (fma.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 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))
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)
(fma.f64 x (*.f64 x -1/4) 2)
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2))
(fma.f64 x (*.f64 x -1/4) (fma.f64 1/192 (pow.f64 x 4) 2))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 1/192 -1/4) 2)
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/23040 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/23040 (pow.f64 x 6))) (fma.f64 1/192 (pow.f64 x 4) 2))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/23040 (pow.f64 x 6) 2)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 1/192 (pow.f64 x 4) (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)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 (*.f64 x x) -3/32))
(fma.f64 (*.f64 x x) -3/32 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 (*.f64 x x) -3/32)))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 3/4))
(fma.f64 x (*.f64 x -3/32) (fma.f64 (pow.f64 x 4) 1/512 3/4))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/512) -3/32) 3/4)
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 (*.f64 x x) -3/32))))
(fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 3/4)))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 x (*.f64 x -3/32) 3/4)))
(fma.f64 x (*.f64 x -3/32) (fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (pow.f64 x 6) -1/61440 3/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/512) -3/32) (fma.f64 (pow.f64 x 6) -1/61440 3/4))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))

eval57.0ms (0.9%)

Compiler

Compiled 2548 to 1943 computations (23.7% saved)

prune198.0ms (3.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12510135
Fresh10212
Picked101
Done000
Total13612148
Error
0b
Counts
148 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))
0.7b
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
0.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
0.4b
(/.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
▶0.3b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)))
15.0b
(pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
0.5b
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
0.5b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (+.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)))))))))
0.8b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))
0.5b
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sin.f64 x)))
29.6b
(*.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)))
Compiler

Compiled 502 to 406 computations (19.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite71.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
604×log-prod_binary64
218×expm1-udef_binary64
218×log1p-udef_binary64
183×log-pow_binary64
182×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01267
125458
2318958
Stop Event
1×node limit
Counts
4 → 142
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)))
(pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)
(*.f64 3/8 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 x 1/2))) (/.f64 8/3 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3/8 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))))) (#(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 (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 9/64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3/8) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))))))
((#(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 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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 (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 (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 (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 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -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 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))))))))

simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
489×associate-/l*_binary64
351×*-commutative_binary64
298×distribute-lft-out_binary64
276×unswap-sqr_binary64
272×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071638
1167626
2403620
31251620
41989620
53199620
64240620
Stop Event
1×node limit
Counts
190 → 177
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)))
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)))
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))))
1/2
(+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
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))))
(fma.f64 1/180 (pow.f64 x 5) (fma.f64 1/18 (pow.f64 x 3) (*.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))))
(fma.f64 1/18 (pow.f64 x 3) (fma.f64 2/3 x (fma.f64 1/180 (pow.f64 x 5) (*.f64 17/30240 (pow.f64 x 7)))))
(fma.f64 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 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)))
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)
(fma.f64 x (*.f64 x -1/4) 2)
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (*.f64 -1/4 (*.f64 x x))))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/4 (*.f64 x x) 2))
(fma.f64 x (*.f64 x -1/4) (fma.f64 1/192 (pow.f64 x 4) 2))
(+.f64 (*.f64 1/192 (pow.f64 x 4)) (+.f64 2 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/23040 (pow.f64 x 6)))))
(fma.f64 1/192 (pow.f64 x 4) (+.f64 2 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/23040 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/23040 (pow.f64 x 6))) (fma.f64 1/192 (pow.f64 x 4) 2))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 -1/23040 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) 2)))
(fma.f64 1/192 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/4) (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)))
3/4
(+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))
(+.f64 3/4 (*.f64 (*.f64 x x) -3/32))
(fma.f64 (*.f64 x x) -3/32 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 (*.f64 x x) -3/32)))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 3/4))
(fma.f64 x (*.f64 x -3/32) (fma.f64 (pow.f64 x 4) 1/512 3/4))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 x (*.f64 x -3/32) 3/4))
(+.f64 (*.f64 -1/61440 (pow.f64 x 6)) (+.f64 (*.f64 1/512 (pow.f64 x 4)) (+.f64 3/4 (*.f64 -3/32 (pow.f64 x 2)))))
(fma.f64 -1/61440 (pow.f64 x 6) (fma.f64 1/512 (pow.f64 x 4) (+.f64 3/4 (*.f64 (*.f64 x x) -3/32))))
(fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (*.f64 x x) -3/32 3/4)))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 (*.f64 x x) -3/32 3/4)))
(fma.f64 (pow.f64 x 4) 1/512 (fma.f64 (pow.f64 x 6) -1/61440 (fma.f64 x (*.f64 x -3/32) 3/4)))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
(*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))))
(*.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3/8)
(/.f64 (*.f64 (sin.f64 x) 3/8) (sin.f64 (*.f64 x 1/2)))
(/.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 x 1/2)) 3/8))
(*.f64 (sin.f64 x) (/.f64 3/8 (sin.f64 (*.f64 x 1/2))))
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 1/2 (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 5/768 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/16)))
(+.f64 (*.f64 (pow.f64 x 4) 5/768) (fma.f64 (*.f64 x x) 1/16 1/2))
(fma.f64 (pow.f64 x 4) 5/768 (fma.f64 x (*.f64 x 1/16) 1/2))
(+.f64 1/2 (+.f64 (*.f64 61/92160 (pow.f64 x 6)) (+.f64 (*.f64 5/768 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 1/2 (fma.f64 61/92160 (pow.f64 x 6) (fma.f64 5/768 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/16))))
(+.f64 (fma.f64 (pow.f64 x 6) 61/92160 (*.f64 (pow.f64 x 4) 5/768)) (fma.f64 (*.f64 x x) 1/16 1/2))
(fma.f64 (pow.f64 x 6) 61/92160 (fma.f64 (pow.f64 x 4) 5/768 (fma.f64 x (*.f64 x 1/16) 1/2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))

eval85.0ms (1.3%)

Compiler

Compiled 3573 to 2721 computations (23.8% saved)

prune334.0ms (5.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1743177
Fresh2911
Picked101
Done000
Total17712189
Error
0b
Counts
189 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sin.f64 x)))
0.4b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))))
0.8b
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
0.5b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))) -1)))
0.4b
(/.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
0.7b
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
15.0b
(pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
0.5b
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
0.5b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (+.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)))))))))
0.5b
(*.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)))
0.3b
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1) -1)))
29.6b
(*.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)))
Compiler

Compiled 243 to 198 computations (18.5% saved)

regimes61.0ms (0.9%)

Accuracy

Total -56.3b remaining (-18011.6%)

Threshold costs -56.3b (-18011.6%)

Counts
40 → 1
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) 3))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) 2))) -1)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (pow.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))) -1) -1)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 3)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))) 2))) (/.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (sin.f64 (*.f64 x 1/2))))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (pow.f64 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x)) -1)))
(pow.f64 (/.f64 (*.f64 3/8 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) -1)
(*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (+.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 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (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 (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 (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 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3))) (sin.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (log1p.f64 (expm1.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 8/3 (/.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 x))) 3)))
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
(pow.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3)) -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) 3)) (sin.f64 x)))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) 8/3) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) 8/3) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 (/.f64 1 (sin.f64 x)) 8/3)))
(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)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)))) 1)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2)) (/.f64 8/3 (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x)))) 3))
(pow.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)) 1/3)
(*.f64 (sin.f64 (*.f64 x 1/2)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (sqrt.f64 (/.f64 8/3 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 8/3 (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 x 1/2)) 2))) 3)
(*.f64 8/3 (/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 8/3 (sin.f64 x))) 3)))
(/.f64 (pow.f64 (sin.f64 (*.f64 x 1/2)) 2) (*.f64 (sin.f64 x) 3/8))
(*.f64 (sin.f64 (*.f64 x 1/2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 8/3 (sin.f64 x))) (sin.f64 (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.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))))
(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
Results
TimeErrorSegmentsBranch
21.0ms0.3b1x
18.0ms0.3b1(/.f64 (*.f64 (*.f64 (/.f64 8 3) (sin.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 x 1/2))) (sin.f64 x))
Compiler

Compiled 737 to 561 computations (23.9% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
11222
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))
Outputs
(/.f64 (sin.f64 (*.f64 x 1/2)) (*.f64 3/8 (/.f64 (sin.f64 x) (sin.f64 (*.f64 x 1/2)))))

end19.0ms (0.3%)

Stop Event
1×fuel
Compiler

Compiled 30 to 24 computations (20% saved)

Profiling

Loading profile data...