2-ancestry mixing, negative discriminant

Details

Time bar (total: 5.3s)

analyze141.0ms (2.7%)

Algorithm
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)

sample1.8s (34.1%)

Results
1.6s8256×body256valid
148.0ms1136×body256invalid
Bogosity

preprocess51.0ms (1%)

Algorithm
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
saturated
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)

simplify17.0ms (0.3%)

Algorithm
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
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)

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Accurracy
98.5%
Counts
6 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.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))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.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 62 to 54 computations (12.9% saved)

localize166.0ms (3.1%)

Local Accuracy

Found 7 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.5%
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.5%
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.5%
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.5%
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.5%
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.4%
(*.f64 2/3 (PI.f64))
Compiler

Compiled 125 to 54 computations (56.8% saved)

series11.0ms (0.2%)

Counts
7 → 144
Calls

36 calls:

TimeVariablePointExpression
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
@0
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.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)))

rewrite136.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1654×log-prod
706×fma-def
656×expm1-udef
654×log1p-udef
396×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019183
1417159
25057159
Stop Event
node limit
Counts
7 → 258
Calls
Call 1
Inputs
(*.f64 2/3 (PI.f64))
(+.f64 (*.f64 2/3 (PI.f64)) (/.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)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
(fma.f64 (PI.f64) 2/3 (/.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 2/3 (*.f64 (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))) (cbrt.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2))) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(fma.f64 (cbrt.f64 (*.f64 4/9 (pow.f64 (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 (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 (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))))
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(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))))
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simplify189.0ms (3.6%)

Algorithm
egg-herbie
Rules
1672×times-frac
1018×distribute-lft-in
830×unswap-sqr
624×cancel-sign-sub-inv
426×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034016950
172016320
2242416264
Stop Event
node limit
Counts
402 → 194
Calls
Call 1
Inputs
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(*.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)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 3)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2)
(pow.f64 (/.f64 3 (acos.f64 (/.f64 g h))) -1)
(neg.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))
(sqrt.f64 (pow.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 2))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 1))
(log1p.f64 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(+.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(+.f64 0 (fma.f64 2/3 (PI.f64) (*.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 (/.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 2/3 (*.f64 (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))))
Outputs
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(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 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3)))
(/.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 (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 1/3 (acos.f64 (/.f64 g h))) (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.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 (*.f64 1/3 (acos.f64 (/.f64 g h))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3)) (*.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 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (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 4/9 (pow.f64 (PI.f64) 2)) (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 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3)))
(/.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))))
(/.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (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 4/9 (pow.f64 (PI.f64) 2)) (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 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) -2/3)))
(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 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)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(+.f64 (*.f64 2/3 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(fma.f64 2/3 (PI.f64) (log.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)))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (*.f64 2/3 (PI.f64)) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(fma.f64 2/3 (PI.f64) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (pow.f64 (exp.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))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(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)))
(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)))

eval111.0ms (2.1%)

Compiler

Compiled 5465 to 3396 computations (37.9% saved)

prune44.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2282230
Fresh000
Picked022
Done000
Total2284232
Accurracy
100.0%
Counts
232 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (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)))))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (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)))))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
Compiler

Compiled 158 to 132 computations (16.5% saved)

localize315.0ms (5.9%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
100.0%
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
98.5%
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
98.4%
(*.f64 2/3 (PI.f64))
98.5%
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
98.5%
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
98.5%
(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 205 to 117 computations (42.9% saved)

series155.0ms (2.9%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
34.0ms
g
@inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
34.0ms
h
@inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
32.0ms
g
@0
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
16.0ms
h
@-inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
15.0ms
g
@-inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))

rewrite131.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
1842×log-prod
792×fma-def
722×expm1-udef
720×log1p-udef
410×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021188
1434182
24979182
Stop Event
node limit
Counts
6 → 224
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cbrt.f64 (exp.f64 (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)))))))
Outputs
(+.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 0)
(+.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2)))
(+.f64 (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64)))) (neg.f64 (*.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 (*.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2)) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(+.f64 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (sin.f64 1)))
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64))))) (cos.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64)))))) (*.f64 (sin.f64 (/.f64 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64))))) (sin.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64)))))))
(+.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2) 1)) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(+.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))))
(+.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2) (pow.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1/6))) (log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1/6)))
(-.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 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
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(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3))
(pow.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1/6) 2)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2)) (cbrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(pow.f64 (exp.f64 1) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(exp.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(+.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 0)
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) 2)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1/6)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))))
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(pow.f64 (sqrt.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2)
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(expm1.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1/3)))

simplify165.0ms (3.1%)

Algorithm
egg-herbie
Rules
704×log-prod
502×associate-+r+
494×cancel-sign-sub-inv
470×associate-/l*
456×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038516412
183215890
2283115592
Stop Event
node limit
Counts
368 → 220
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))))
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(expm1.f64 (log1p.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(exp.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 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))))
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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))))
(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))))
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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))))
(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))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
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(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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(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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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
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(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
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(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
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(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1/3)))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))

eval228.0ms (4.3%)

Compiler

Compiled 12603 to 8540 computations (32.2% saved)

prune54.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3941395
Fresh000
Picked112
Done022
Total3954399
Accurracy
100.0%
Counts
399 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
Compiler

Compiled 156 to 130 computations (16.7% saved)

localize228.0ms (4.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
100.0%
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
98.5%
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
98.5%
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))
98.4%
(*.f64 2/3 (PI.f64))
Compiler

Compiled 178 to 105 computations (41% saved)

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
h
@-inf
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))
1.0ms
g
@0
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))
1.0ms
g
@inf
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))
1.0ms
g
@-inf
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))
1.0ms
h
@inf
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))

rewrite81.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
1400×log-prod
706×pow-prod-up
630×pow-exp
568×expm1-udef
566×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
134462
2417462
Stop Event
node limit
Counts
2 → 62
Calls
Call 1
Inputs
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
Outputs
(+.f64 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(+.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))))) (fma.f64 (neg.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)))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(-.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 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 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.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 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.f64 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(+.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))))) (fma.f64 (neg.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)))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(-.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 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 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.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 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))

simplify109.0ms (2.1%)

Algorithm
egg-herbie
Rules
2098×fma-def
734×log-prod
568×associate-*r*
514×associate-*l*
458×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055154
11974698
24944102
328434102
467474102
Stop Event
node limit
Counts
110 → 43
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))))
(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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(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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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(-.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 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 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.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 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
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(+.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))))) (fma.f64 (neg.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)))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1)
(-.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 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 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (sin.f64 (*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(*.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2) (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.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 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(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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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
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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 (fma.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)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(cos.f64 (fma.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)))))
(pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1)
(cos.f64 (fma.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)))))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 3)
(cos.f64 (fma.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)))))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3) 1/3)
(cos.f64 (fma.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)))))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 2)
(cos.f64 (fma.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)))))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2))
(cos.f64 (fma.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)))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(cos.f64 (fma.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)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(cos.f64 (fma.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)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3))
(cos.f64 (fma.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)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(cos.f64 (fma.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)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(cos.f64 (fma.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)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1))
(cos.f64 (fma.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)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))) 1) 1))
(cos.f64 (fma.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)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 3))
(cos.f64 (fma.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)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 1/3))
(cos.f64 (fma.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)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) 2))
(cos.f64 (fma.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)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(cos.f64 (fma.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)))))
(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 (acos.f64 (/.f64 g h)) 1/3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(+.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 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(-.f64 (+.f64 (*.f64 0 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))) (*.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 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))

eval132.0ms (2.5%)

Compiler

Compiled 4419 to 3054 computations (30.9% saved)

prune22.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1141115
Fresh000
Picked101
Done033
Total1154119
Accurracy
100.0%
Counts
119 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
Compiler

Compiled 158 to 132 computations (16.5% saved)

localize250.0ms (4.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(*.f64 1/3 (acos.f64 (/.f64 g h)))
98.5%
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
98.5%
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
98.4%
(*.f64 2/3 (PI.f64))
Compiler

Compiled 189 to 112 computations (40.7% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

18 calls:

TimeVariablePointExpression
0.0ms
h
@inf
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
0.0ms
g
@0
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
0.0ms
g
@inf
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
0.0ms
g
@-inf
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
0.0ms
h
@-inf
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))

rewrite100.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1624×log-prod
766×fma-def
642×expm1-udef
640×log1p-udef
524×log-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01879
138379
2444579
Stop Event
node limit
Counts
3 → 104
Calls
Call 1
Inputs
(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))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
Outputs
(+.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))))))
(+.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 (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 0 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) (sin.f64 1)))
(+.f64 (*.f64 (cos.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))))) (cos.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 (sin.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))))) (sin.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(*.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.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))
(*.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))))))
(*.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (*.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 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (*.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)))))) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1 (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))))))
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(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))

simplify113.0ms (2.1%)

Algorithm
egg-herbie
Rules
1000×associate-*r*
856×associate-*l*
820×associate-/l*
760×fma-def
634×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01686938
13416742
29716612
346256484
Stop Event
node limit
Counts
128 → 83
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))))
(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 (*.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))))))
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(+.f64 0 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
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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 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(*.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.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))
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(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (*.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)))))) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3))
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(exp.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1 (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 (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)))))
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(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1)
(*.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(*.f64 1 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.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))
(*.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))))))
(*.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))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (*.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 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (*.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)))))) (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(fma.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1 (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 (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)))))
(+.f64 0 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) 1)
(pow.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
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))))
(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))))
(+.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))))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(+.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (neg.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 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
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(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))))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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))))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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))))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.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)))))
(fma.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (neg.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))
(+.f64 0 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 1)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 3)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(pow.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))
(log.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 1))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(log1p.f64 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(*.f64 1/3 (acos.f64 (/.f64 g h)))

eval101.0ms (1.9%)

Compiler

Compiled 5597 to 3781 computations (32.4% saved)

prune23.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1181119
Fresh000
Picked101
Done033
Total1194123
Accurracy
100.0%
Counts
123 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.2%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
98.5%
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
96.7%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))))
Compiler

Compiled 262 to 192 computations (26.7% saved)

regimes94.0ms (1.8%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
(*.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 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))))
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (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)))))))))
Outputs
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Calls

9 calls:

7.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms
(/.f64 (neg.f64 g) h)
6.0ms
g
5.0ms
(neg.f64 g)
5.0ms
h
Results
AccuracySegmentsBranch
98.5%1g
98.5%1h
98.5%1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
98.5%1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
98.5%1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
98.5%1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
98.5%1(acos.f64 (/.f64 (neg.f64 g) h))
98.5%1(/.f64 (neg.f64 g) h)
98.5%1(neg.f64 g)
Compiler

Compiled 263 to 191 computations (27.4% saved)

regimes36.0ms (0.7%)

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

13.0ms
h
3.0ms
g
3.0ms
(neg.f64 g)
3.0ms
(/.f64 (neg.f64 g) h)
3.0ms
(acos.f64 (/.f64 (neg.f64 g) h))
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)

regimes7.0ms (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 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
Calls

2 calls:

4.0ms
g
2.0ms
h
Results
AccuracySegmentsBranch
96.7%1g
96.7%1h
Compiler

Compiled 21 to 17 computations (19% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Rules
14×*-commutative
+-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029127
141127
245127
348127
449127
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.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 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
Outputs
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (neg.f64 (/.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 (+.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) (*.f64 (PI.f64) 2/3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
Compiler

Compiled 46 to 40 computations (13% saved)

soundness220.0ms (4.2%)

Rules
1654×log-prod
706×fma-def
656×expm1-udef
654×log1p-udef
396×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851
12945
24341
35541
46241
57441
68641
710241
019183
1417159
25057159
01851
12945
24341
35541
46241
57441
68641
710241
Stop Event
saturated
node limit
saturated
Compiler

Compiled 337 to 229 computations (32% saved)

end48.0ms (0.9%)

Compiler

Compiled 120 to 92 computations (23.3% saved)

Profiling

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