2-ancestry mixing, negative discriminant

Time bar (total: 11.0s)

analyze81.0ms (0.7%)

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

Compiled 19 to 17 computations (10.5% saved)

sample2.3s (20.5%)

Results
2.0s8256×body256valid
266.0ms1135×body256invalid
Bogosity

preprocess354.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
558×fma-def
142×associate-/r*
96×div-sub
90×associate-*r*
70×associate-*r/
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038196
165172
2121156
3254156
4646156
5963156
61039156
71099156
81139156
Stop Event
1×saturated
Calls
Call 1
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 (neg.f64 g)) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) (neg.f64 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 g (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 (neg.f64 g)) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) (neg.f64 h))) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 g h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.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 h (neg.f64 g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 h (neg.f64 g))) 3))))
Compiler

Compiled 97 to 60 computations (38.1% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 2 (0.0ms)

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

eval2.0ms (0%)

Compiler

Compiled 74 to 48 computations (35.1% saved)

prune3.0ms (0%)

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))))
▶98.5%
(*.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))))
▶98.5%
(*.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)

localize131.0ms (1.2%)

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 (0.1%)

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
(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 (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)))

rewrite142.0ms (1.3%)

Algorithm
1×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
1×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))
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(/.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))))

simplify192.0ms (1.7%)

Algorithm
1×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
1×node limit
Counts
402 → 194
Calls
Call 1
Inputs
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(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) (*.f64 (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))
(+.f64 0 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))) (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h))))))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(+.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 g h)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 g h)) 3))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(*.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1)
(*.f64 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2) (*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) 2) (cbrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 g h))) 1/3))
(*.f64 (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (sqrt.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(*.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3)
(*.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
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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(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 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(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 (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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(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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(/.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 (-.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 (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))) (/.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 (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 (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 1/3 (acos.f64 (/.f64 g h))))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 8/27 (pow.f64 (PI.f64) 3))) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (PI.f64) (acos.f64 (/.f64 g h))) 2/9))))
(/.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 (fma.f64 4/9 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (PI.f64) (acos.f64 (/.f64 g h))) -2/9))))
(/.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 (-.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 (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)))

eval138.0ms (1.3%)

Compiler

Compiled 5465 to 3396 computations (37.9% saved)

prune354.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2282230
Fresh000
Picked022
Done000
Total2284232
Accurracy
99.9%
Counts
232 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.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))))
▶96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶98.0%
(*.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))))
▶96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.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)

localize402.0ms (3.7%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
✓99.9%
(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 (acos.f64 (/.f64 g h)) 1/3)
✓98.5%
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
✓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)

series20.0ms (0.2%)

Counts
6 → 144
Calls

36 calls:

TimeVariablePointExpression
6.0ms
g
@-inf
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
2.0ms
g
@0
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
2.0ms
h
@-inf
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
2.0ms
h
@inf
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
2.0ms
g
@inf
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))

rewrite141.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1766×log-prod
782×fma-def
694×expm1-udef
692×log1p-udef
394×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020172
1418172
24800172
Stop Event
1×node limit
Counts
6 → 235
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64))))
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(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))))))
(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 (cbrt.f64 (pow.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 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.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 (*.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)))
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simplify489.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
968×fma-neg
848×log-prod
718×distribute-lft-in
688×distribute-rgt-in
672×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035418215
174617651
2223916777
3739816737
Stop Event
1×node limit
Counts
379 → 206
Calls
Call 1
Inputs
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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 (pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) (sqrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (/.f64 1 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))))
(*.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (/.f64 1 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))) (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)))))
(/.f64 1 (/.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64))) (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3))) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (-.f64 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (*.f64 (acos.f64 (/.f64 g h)) (*.f64 1/3 (*.f64 2/3 (PI.f64)))))))
(/.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (*.f64 1/27 (pow.f64 (acos.f64 (/.f64 g h)) 3)))) (neg.f64 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2)))))
(/.f64 (neg.f64 (fma.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))) (neg.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 -2/3 (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 g h)) 2))) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
(pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (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))))))
(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)))) (pow.f64 (exp.f64 1/3) (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)))))
(cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))
Outputs
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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)))))
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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)))))
(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)))))
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(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 (fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
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(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(cbrt.f64 (pow.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64))) 3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(expm1.f64 (log1p.f64 (fma.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 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(exp.f64 (log.f64 (fma.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 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(log1p.f64 (expm1.f64 (fma.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 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))

eval431.0ms (3.9%)

Compiler

Compiled 11442 to 7728 computations (32.5% saved)

prune78.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3602362
Fresh000
Picked112
Done022
Total3615366
Accurracy
99.9%
Counts
366 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.7%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
▶98.0%
(*.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 (+.f64 (*.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))))
✓96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶95.7%
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
▶98.0%
(*.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 (+.f64 (*.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))))
✓96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 230 to 190 computations (17.4% saved)

localize920.0ms (8.4%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.f64 (*.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))))
✓98.5%
(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%
(cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.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))
Compiler

Compiled 437 to 260 computations (40.5% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

24 calls:

TimeVariablePointExpression
2.0ms
g
@inf
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
0.0ms
g
@0
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
0.0ms
h
@0
(cos.f64 (fma.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))))

rewrite214.0ms (1.9%)

Algorithm
1×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
018120
1383120
24445120
Stop Event
1×node limit
Counts
4 → 189
Calls
Call 1
Inputs
(cos.f64 (fma.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))))
(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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))))))
(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)))))
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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))
(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)))))
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(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)))))
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(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 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(*.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)
(*.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (/.f64 1 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (/.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27))))
(/.f64 1 (/.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 1/3 (*.f64 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))) (neg.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (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 1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3))
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(exp.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))
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(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (PI.f64) 2/3 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 2/3 (PI.f64)) 1 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 1 (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
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(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 1/3 (acos.f64 (/.f64 g h)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 2/3) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(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 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (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 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))

simplify363.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1148×fma-def
970×times-frac
650×unswap-sqr
642×log-prod
566×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025714275
158613571
2167912851
3605612851
Stop Event
1×node limit
Counts
237 → 130
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))))
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(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 (exp.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(*.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)
(*.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(*.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (/.f64 1 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(*.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (/.f64 1 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27))))
(/.f64 1 (/.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))) (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 1/3 (*.f64 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
(/.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 3) 1/27 (*.f64 (pow.f64 (PI.f64) 3) 8/27))) (neg.f64 (fma.f64 (*.f64 2/3 (PI.f64)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9 (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)))) (neg.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 -2/3 (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2) 1/9)) (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h)))))
(pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (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 1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 1/3) (acos.f64 (/.f64 g h))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (pow.f64 (exp.f64 2/3) (PI.f64))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.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)))
(fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (PI.f64) 2/3 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 2/3 (PI.f64)) 1 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 1 (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 2/3) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(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 1/3 (acos.f64 (/.f64 g h)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 2/3) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(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 1/3 (acos.f64 (/.f64 g h)))) (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (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 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 (*.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.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))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))))) (+.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 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))) 3))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (fma.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)))
(exp.f64 (log.f64 (fma.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)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (fma.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)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.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 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (PI.f64) 2/3 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 2/3 (PI.f64)) 1 (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 1 (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.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)))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 2/3) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.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 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (cbrt.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)))
(fma.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) 2/3) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(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 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (sqrt.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)))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 1/3 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 2)) (cbrt.f64 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 1/3 (sqrt.f64 (acos.f64 (/.f64 g h)))) (sqrt.f64 (acos.f64 (/.f64 g h))) (*.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 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (*.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))

eval1.8s (16.3%)

Compiler

Compiled 22540 to 15456 computations (31.4% saved)

prune291.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4791480
Fresh000
Picked202
Done033
Total4814485
Accurracy
99.9%
Counts
485 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.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)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (*.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))))
✓96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
▶98.0%
(*.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)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (*.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))))
✓96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 162 to 136 computations (16% saved)

localize993.0ms (9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))
✓98.5%
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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 231 to 140 computations (39.4% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
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
h
@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))))

rewrite212.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
1542×log-prod
760×fma-def
692×pow-exp
610×expm1-udef
608×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01531
132431
2420831
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 2))
(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)))))

simplify130.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
976×associate-*r*
858×associate-/l*
842×associate-*l*
710×fma-def
592×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01425672
12964926
28564278
343502834
Stop Event
1×node limit
Counts
48 → 68
Calls
Call 1
Inputs
(+.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))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) 2))
(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)))))
Outputs
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(+.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 2/3 (PI.f64))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))))))
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(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)))))
(-.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 (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))))))
(-.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 (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)))))
(-.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 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (cos.f64 (*.f64 2/3 (PI.f64)))))

eval371.0ms (3.4%)

Compiler

Compiled 12118 to 8270 computations (31.8% saved)

prune47.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2430243
Fresh000
Picked011
Done033
Total2434247
Accurracy
99.9%
Counts
247 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.0%
(*.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)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (*.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))))
✓96.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))
✓98.5%
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 268 to 198 computations (26.1% saved)

regimes39.0ms (0.4%)

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)))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 (*.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 (+.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 2/3 (PI.f64)))))))))
(*.f64 2 (+.f64 (*.f64 2 (log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))))
(*.f64 2 (+.f64 (*.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:

6.0ms
g
6.0ms
(neg.f64 g)
6.0ms
h
5.0ms
(/.f64 (neg.f64 g) h)
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
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 268 to 196 computations (26.9% saved)

regimes64.0ms (0.6%)

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:

15.0ms
g
15.0ms
h
8.0ms
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
6.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
5.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
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 126 to 100 computations (20.6% saved)

regimes23.0ms (0.2%)

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:

10.0ms
g
10.0ms
h
Results
AccuracySegmentsBranch
96.5%1g
96.5%1h
Compiler

Compiled 21 to 17 computations (19% saved)

simplify23.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029127
141127
245127
348127
449127
Stop Event
1×done
1×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)

soundness240.0ms (2.2%)

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
1×saturated
1×node limit
1×saturated
Compiler

Compiled 337 to 229 computations (32% saved)

end0.0ms (0%)

preprocess46.0ms (0.4%)

Compiler

Compiled 120 to 92 computations (23.3% saved)

Profiling

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