2-ancestry mixing, negative discriminant

Details

Time bar (total: 5.5s)

analyze78.0ms (1.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
26.7%25%68.7%0.1%0%6.2%0%5
27.6%25%65.6%0.1%0%9.4%0%6
49%37.5%39%0.1%0%23.4%0%7
50.5%37.5%36.7%0.1%0%25.8%0%8
67.9%43.7%20.7%0.1%0%35.5%0%9
69.3%43.7%19.3%0.1%0%36.9%0%10
81.5%46.8%10.6%0.1%0%42.4%0%11
82.5%46.8%9.9%0.1%0%43.2%0%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.7s (29.9%)

Results
1.5s8256×body256valid
140.0ms1183×body256invalid
Bogosity

preprocess24.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
64×fma-def
32×sub-neg
24×+-commutative
24×div-sub
20×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
14290
26282
38382
49782
512082
614482
717882
818082
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Compiler

Compiled 20 to 18 computations (10% saved)

simplify15.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
32×fma-def
14×sub-neg
12×*-commutative
10×+-commutative
10×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851
12945
24341
35541
46241
57441
68641
710241
Stop Event
1×saturated
Counts
1 → 5
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

eval1.0ms (0%)

Compiler

Compiled 74 to 48 computations (35.1% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New415
Fresh101
Picked000
Done000
Total516
Accurracy
98.4%
Counts
6 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize84.0ms (1.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
✓98.4%
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
✓98.4%
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
✓98.4%
(*.f64 2/3 (PI.f64))
Compiler

Compiled 67 to 33 computations (50.7% saved)

series8.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
h
@inf
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0ms
h
@inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms
g
@0
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0ms
g
@0
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms
g
@inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite102.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1572×log-prod
702×fma-def
624×expm1-udef
622×log1p-udef
374×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01696
135684
2481984
Stop Event
1×node limit
Counts
4 → 145
Calls
Call 1
Inputs
(*.f64 2/3 (PI.f64))
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Outputs
(+.f64 0 (*.f64 2/3 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (*.f64 2/3 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3)
(pow.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) 2)
(sqrt.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))))
(cbrt.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))
(exp.f64 (log.f64 (*.f64 2/3 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (*.f64 2/3 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(-.f64 (/.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (/.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(*.f64 1 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3))) (/.f64 1 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))) (*.f64 4/9 (pow.f64 (PI.f64) 2)))))
(*.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2)) (/.f64 1 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))) (*.f64 4/9 (pow.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3)))) (neg.f64 (fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))) (*.f64 4/9 (pow.f64 (PI.f64) 2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2))) (neg.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))
(pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 2/3) (PI.f64)) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (*.f64 2/3 (PI.f64)) 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1 (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 2/3 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (*.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 0 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 g h)) 3))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(*.f64 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3)
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simplify109.0ms (2%)

Algorithm
1×egg-herbie
Rules
1206×unswap-sqr
810×cancel-sign-sub-inv
514×associate-/r*
482×distribute-rgt-neg-in
474×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03288703
17128393
225598119
Stop Event
1×node limit
Counts
217 → 186
Calls
Call 1
Inputs
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(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(*.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
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(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
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Outputs
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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(fma.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1 (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 0 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 0 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 0 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 0 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 0 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))

eval77.0ms (1.4%)

Compiler

Compiled 4624 to 2909 computations (37.1% saved)

prune34.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1842186
Fresh000
Picked011
Done000
Total1843187
Accurracy
100.0%
Counts
187 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 2 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
▶99.7%
(*.f64 2 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Compiler

Compiled 100 to 88 computations (12% saved)

localize204.0ms (3.7%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
✓100.0%
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
✓98.4%
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
98.4%
(*.f64 2/3 (PI.f64))
✓98.4%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓98.4%
(+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
✓98.4%
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
98.4%
(*.f64 2/3 (PI.f64))
Compiler

Compiled 163 to 90 computations (44.8% saved)

series147.0ms (2.7%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
36.0ms
h
@inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
31.0ms
g
@0
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
26.0ms
g
@inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
21.0ms
g
@-inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
18.0ms
h
@-inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))

rewrite152.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
1922×log-prod
840×fma-def
754×expm1-udef
750×log1p-udef
446×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023180
1474174
25420174
Stop Event
1×node limit
Counts
6 → 274
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
Outputs
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 0)
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)))
(+.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 0 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))
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(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
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(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
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(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1/3)))))
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(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(fma.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1 (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3 (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 3 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2) (*.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(fma.f64 (*.f64 3 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))

simplify201.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
816×log-prod
572×associate-+r+
544×associate-+l+
456×associate-*r*
442×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036221316
179920302
2290919380
Stop Event
1×node limit
Counts
418 → 203
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
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(*.f64 1/3 (acos.f64 (/.f64 g h)))
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(fma.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1 (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3 (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 3 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2) (*.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (*.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (*.f64 3 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (*.f64 3 (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2)) (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 0 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(fma.f64 (*.f64 3 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(+.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 0 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))

eval125.0ms (2.2%)

Compiler

Compiled 7041 to 4701 computations (33.2% saved)

prune45.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2781279
Fresh000
Picked112
Done011
Total2793282
Accurracy
100.0%
Counts
282 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1)))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
▶99.7%
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1)))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Compiler

Compiled 106 to 94 computations (11.3% saved)

localize186.0ms (3.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
98.4%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
✓98.4%
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
✓98.4%
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
Compiler

Compiled 136 to 85 computations (37.5% saved)

series184.0ms (3.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
70.0ms
h
@inf
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
52.0ms
g
@0
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
19.0ms
g
@-inf
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
18.0ms
h
@-inf
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
16.0ms
g
@inf
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))

rewrite91.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1584×log-prod
710×pow-exp
646×prod-diff
626×expm1-udef
624×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
134399
2404499
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
Outputs
(+.f64 0 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64)))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(*.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 0 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)) (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (log.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))) (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/9) (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/9))) (log.f64 (-.f64 1 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(*.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(*.f64 1 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 2) (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2))
(log.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 2))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 0 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(+.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(*.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(*.f64 1 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (fma.f64 (*.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
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(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))) (exp.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (exp.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
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(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))

simplify146.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1484×fma-def
894×log-prod
858×distribute-lft-in
852×unswap-sqr
760×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02456695
15226357
216195957
372395953
Stop Event
1×node limit
Counts
161 → 125
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(-.f64 (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (*.f64 (sin.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(*.f64 1 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(+.f64 0 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)) (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (log.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))) (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)) (log.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/9) (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 1)
(-.f64 (log.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/9))) (log.f64 (-.f64 1 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(*.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(*.f64 1 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 2) (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 2))
(log.f64 (fma.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 2))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 0 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(+.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(*.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(*.f64 1 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (fma.f64 (*.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (-.f64 (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))) (exp.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (exp.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
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(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1) 1))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 3))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 1/3))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) 2))
(log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 0 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 (*.f64 2/3 (PI.f64)) 1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (cbrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(*.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(*.f64 1 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(*.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(*.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 3)) (fma.f64 (*.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(/.f64 (+.f64 (pow.f64 (*.f64 2/3 (PI.f64)) 3) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27)) (+.f64 (*.f64 4/9 (*.f64 (PI.f64) (PI.f64))) (-.f64 (pow.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 2) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 4/9 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (-.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))))
(/.f64 (fma.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3) (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3)) (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9))))
(/.f64 (-.f64 (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 2/3 (PI.f64))) (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(/.f64 (-.f64 (*.f64 4/9 (*.f64 (PI.f64) (PI.f64))) (pow.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (pow.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 2)) (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) -1/3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (pow.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 2)) (fma.f64 (acos.f64 (/.f64 g h)) -1/3 (*.f64 2/3 (PI.f64))))
(pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3) 1/3)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (exp.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))) (exp.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (exp.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (*.f64 (exp.f64 (*.f64 2/3 (PI.f64))) (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1/3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

eval122.0ms (2.2%)

Compiler

Compiled 4274 to 3196 computations (25.2% saved)

prune28.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1431144
Fresh000
Picked101
Done022
Total1443147
Accurracy
100.0%
Counts
147 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
▶99.7%
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Compiler

Compiled 108 to 96 computations (11.1% saved)

localize271.0ms (4.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))
✓98.4%
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
✓98.4%
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
98.4%
(*.f64 2/3 (PI.f64))
Compiler

Compiled 147 to 95 computations (35.4% saved)

series82.0ms (1.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
43.0ms
h
@0
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
10.0ms
g
@0
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
9.0ms
h
@-inf
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
7.0ms
h
@inf
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
6.0ms
g
@inf
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))

rewrite126.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1742×log-prod
806×fma-def
676×expm1-udef
674×log1p-udef
378×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01799
136399
2464599
Stop Event
1×node limit
Counts
3 → 120
Calls
Call 1
Inputs
(log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))
Outputs
(+.f64 0 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)) (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)))) (log.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))) (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) 1)
(*.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 2) (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 2)
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(fma.f64 1 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 1 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2) (fma.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))

simplify151.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1470×fma-def
918×unswap-sqr
908×log-prod
636×distribute-lft-in
598×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02979014
16518680
219518460
374818460
Stop Event
1×node limit
Counts
192 → 153
Calls
Call 1
Inputs
(log.f64 (+.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1))
(log.f64 (+.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1))
(log.f64 (+.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1))
(log.f64 (+.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(log.f64 (+.f64 1 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
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(log.f64 (+.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1))
(log.f64 (+.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(+.f64 0 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)) (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)))) (log.f64 (cbrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))) (log.f64 (sqrt.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) 1)
(*.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(*.f64 1 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 2) (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(*.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 2))
(log.f64 (fma.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(*.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)
(*.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
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(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
Outputs
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(-.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (neg.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64))))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))

eval124.0ms (2.2%)

Compiler

Compiled 5907 to 4268 computations (27.7% saved)

prune63.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh000
Picked011
Done022
Total1723175
Accurracy
100.0%
Counts
175 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.7%
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
✓98.4%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
✓98.1%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Compiler

Compiled 157 to 125 computations (20.4% saved)

regimes37.0ms (0.7%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1)))
(*.f64 2 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
Outputs
(*.f64 2 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
Calls

9 calls:

8.0ms
g
6.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
4.0ms
h
4.0ms
(neg.f64 g)
3.0ms
(/.f64 (neg.f64 g) h)
Results
AccuracySegmentsBranch
99.7%1g
99.7%1h
99.7%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
99.7%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
99.7%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
99.7%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
99.7%1(acos.f64 (/.f64 (neg.f64 g) h))
99.7%1(/.f64 (neg.f64 g) h)
99.7%1(neg.f64 g)
Compiler

Compiled 184 to 143 computations (22.3% saved)

regimes40.0ms (0.7%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))) 1)))
Outputs
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
Calls

9 calls:

13.0ms
h
6.0ms
(/.f64 (neg.f64 g) h)
4.0ms
g
4.0ms
(neg.f64 g)
2.0ms
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Results
AccuracySegmentsBranch
99.7%1g
99.7%1h
99.7%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
99.7%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
99.7%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
99.7%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
99.7%1(acos.f64 (/.f64 (neg.f64 g) h))
99.7%1(/.f64 (neg.f64 g) h)
99.7%1(neg.f64 g)
Compiler

Compiled 167 to 131 computations (21.6% saved)

regimes30.0ms (0.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Calls

9 calls:

6.0ms
(/.f64 (neg.f64 g) h)
6.0ms
h
3.0ms
g
3.0ms
(neg.f64 g)
2.0ms
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Results
AccuracySegmentsBranch
98.4%1g
98.4%1h
98.4%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
98.4%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.4%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.4%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.4%1(acos.f64 (/.f64 (neg.f64 g) h))
98.4%1(/.f64 (neg.f64 g) h)
98.4%1(neg.f64 g)
Compiler

Compiled 126 to 100 computations (20.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Calls

2 calls:

5.0ms
g
2.0ms
h
Results
AccuracySegmentsBranch
98.1%1g
98.1%1h
Compiler

Compiled 21 to 17 computations (19% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
24×*-commutative
16×neg-mul-1
14×+-commutative
12×unsub-neg
8×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042208
162208
269208
377208
489208
5104208
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Outputs
(*.f64 2 (*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))))) 1)))
(*.f64 2 (*.f64 3 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))))) 1)))
(*.f64 2 (*.f64 3 (+.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))))) -1)))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))
Compiler

Compiled 73 to 65 computations (11% saved)

soundness661.0ms (11.9%)

Rules
1922×log-prod
1584×log-prod
1572×log-prod
1572×log-prod
1206×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851
12945
24341
35541
46241
57441
68641
710241
01696
135684
2481984
03288703
17128393
225598119
01696
135684
2481984
023180
1474174
25420174
01799
134399
2404499
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 824 to 596 computations (27.7% saved)

end119.0ms (2.1%)

Compiler

Compiled 170 to 136 computations (20% saved)

Profiling

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