Details

Time bar (total: 10.2s)

analyze108.0ms (1.1%)

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

Compiled 19 to 17 computations (10.5% saved)

sample1.6s (15.3%)

Results
1.4s8256×body256valid
160.0ms1057×body256invalid
Bogosity

preprocess12.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×fma-def
32×+-commutative
28×associate-+l-
24×*-commutative
20×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025102
14290
26282
38182
49582
511482
614282
719282
819482
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 h g))) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Compiler

Compiled 20 to 18 computations (10% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×fma-def
14×*-commutative
14×associate-+l-
14×+-commutative
associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851
12945
24341
35441
46141
57141
68541
710941
Stop Event
saturated
Counts
1 → 5
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

eval2.0ms (0%)

Compiler

Compiled 74 to 48 computations (35.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New325
Fresh101
Picked000
Done000
Total426
Error
1.0b
Counts
6 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 66 to 32 computations (51.5% saved)

series7.0ms (0.1%)

Counts
4 → 72
Calls

18 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
@inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms
g
@-inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0ms
h
@inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite109.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1800×associate-*r/
1260×associate-*l/
374×add-sqr-sqrt
356×pow1
356×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01696
135684
2475884
Stop Event
node limit
Counts
4 → 139
Calls
Call 1
Inputs
(*.f64 2/3 (PI.f64))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/3 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/3) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/3 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/3 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 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simplify133.0ms (1.3%)

Algorithm
egg-herbie
Rules
1662×associate-/l*
770×associate-/r*
566×distribute-lft-neg-in
520×distribute-rgt-neg-in
500×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033811999
184411719
2351011349
Stop Event
node limit
Counts
211 → 201
Calls
Call 1
Inputs
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (/.f64 1 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)) (/.f64 1 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))))
(/.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)) (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))
(/.f64 (neg.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (neg.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (neg.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (neg.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2)))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))) (neg.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))) (neg.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))) (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))) (sqrt.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))) (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))) (cbrt.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) 1) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (*.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)) 1) (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) 1) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) 1) (neg.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (neg.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) 1) (neg.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 1 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) 3)) (/.f64 1 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 8/27 (pow.f64 (PI.f64) 3))) (*.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))) (/.f64 1 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))) (-.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) 3)) (/.f64 1 (+.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))) (+.f64 (*.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 8/27 (pow.f64 (PI.f64) 3))) (-.f64 (*.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)) (*.f64 (*.f64 8/27 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27)))))
(pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 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 (neg.f64 g) h)) 3))
(fma.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.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 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1)
(*.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (sqrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))
(*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 2) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))
(*.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1)
(pow.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)
(pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)
(pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) 1/3)
(neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3))
(sqrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (neg.f64 g) h)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))
(expm1.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (*.f64 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1))
(log1p.f64 (expm1.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(cos.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)))
(fma.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.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 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.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 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(-.f64 (/.f64 (*.f64 (PI.f64) 1/2) 3) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (/.f64 (PI.f64) 6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (*.f64 1/6 (PI.f64)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (sqrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (sqrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 2) (*.f64 (cbrt.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1/3))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) -1/3)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))
(neg.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -3))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(sqrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))
(fabs.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(cbrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 1/27))
(expm1.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(exp.f64 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(exp.f64 (*.f64 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(log1p.f64 (expm1.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Compiler

Compiled 60 to 27 computations (55% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
g
@0
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms
h
@0
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms
g
@inf
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms
h
@inf
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.0ms
g
@-inf
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))

rewrite79.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1132×associate-*r/
958×associate-/r*
888×associate-*l/
858×associate-/l*
358×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01666
133758
2423058
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cos.f64 (fma.f64 (PI.f64) 2/3 (/.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
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (*.f64 (PI.f64) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (PI.f64) 2/3) 1)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 1 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) 6) (-.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 2/3) (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (PI.f64) 6)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (/.f64 (PI.f64) 6)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 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h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) 1) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))

simplify81.0ms (0.8%)

Algorithm
egg-herbie
Rules
974×associate-/l*
810×*-commutative
786×associate-/r*
782×associate-+r+
704×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01403948
13193894
211883894
337563882
Stop Event
node limit
Counts
102 → 73
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)
(-.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(*.f64 1 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) 2/3))
(+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (*.f64 (PI.f64) 2/3) 1))
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(+.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(+.f64 (*.f64 1 (*.f64 (*.f64 (PI.f64) 2/3) 1)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 1 (*.f64 (PI.f64) 2/3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)
(-.f64 (/.f64 (PI.f64) 6) (-.f64 (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) 2/3)))
(-.f64 (+.f64 (*.f64 (PI.f64) 2/3) (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)
(-.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (PI.f64) 6)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
(-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (exp.f64 (log1p.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) 1) (/.f64 (PI.f64) 6)) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(*.f64 1 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) 1) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 4/9) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 4/9 (PI.f64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27) (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 4/9) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (fma.f64 (PI.f64) (*.f64 4/9 (PI.f64)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27)) (fma.f64 (PI.f64) (*.f64 (PI.f64) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) -2/3)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 4/9) (*.f64 2/9 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 4/9) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 4/9 (PI.f64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27) (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 4/9) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (fma.f64 (PI.f64) (*.f64 4/9 (PI.f64)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27)) (fma.f64 (PI.f64) (*.f64 (PI.f64) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) -2/3)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 4/9) (*.f64 2/9 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) 1) (-.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 4/9) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 4/9 (PI.f64))) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 4/9)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (*.f64 (PI.f64) 2/3) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) 2/3) (*.f64 (PI.f64) 2/3)) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (+.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27) (pow.f64 (*.f64 2/3 (PI.f64)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) 4/9) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (fma.f64 (PI.f64) (*.f64 4/9 (PI.f64)) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27)) (fma.f64 (PI.f64) (*.f64 (PI.f64) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (+.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) -2/3)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (+.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 4/9) (*.f64 2/9 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (cbrt.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(sqrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(log.f64 (exp.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(cbrt.f64 (pow.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(exp.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(log1p.f64 (expm1.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))

eval142.0ms (1.4%)

Compiler

Compiled 9037 to 5419 computations (40% saved)

prune53.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2995304
Fresh000
Picked011
Done011
Total2997306
Error
0.9b
Counts
306 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
1.5b
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
Compiler

Compiled 415 to 307 computations (26% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
1.0b
(+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 82 to 43 computations (47.6% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
h
@-inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
1.0ms
g
@0
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
1.0ms
g
@inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
1.0ms
h
@inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
1.0ms
g
@-inf
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))

rewrite111.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1536×associate-*l/
1426×associate-/r*
410×add-sqr-sqrt
392×*-un-lft-identity
390×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01899
139875
2518375
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
(+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
Outputs
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simplify125.0ms (1.2%)

Algorithm
egg-herbie
Rules
1406×associate-/l*
1032×associate-*r/
1018×associate-/r*
724×associate-*l/
610×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031711691
181410735
2333110671
Stop Event
node limit
Counts
191 → 181
Calls
Call 1
Inputs
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 2)) (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 2)) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (/.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 1 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))) (+.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) 3) (pow.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2) 3)) (/.f64 1 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (+.f64 (/.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64))))))) (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 3) (pow.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64))))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (-.f64 (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2)) 1) (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2)) (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))) (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))) (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -2)) (+.f64 (sqrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (sqrt.f64 (*.f64 2/3 (PI.f64))))) (-.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) 1) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64))))))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))))
(pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(exp.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(fma.f64 2/3 (PI.f64) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (sqrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 2) (cbrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (cbrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) 1)
(*.f64 3 (/.f64 1 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 1)
(*.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 (sqrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sqrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (pow.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 (/.f64 1 (acos.f64 (/.f64 (neg.f64 g) h))) 3)
(*.f64 -3 (/.f64 -1 (acos.f64 (/.f64 (neg.f64 g) h))))
(pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 1)
(pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) -1)
(pow.f64 (sqrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2)
(pow.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 3)
(pow.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 3) 1/3)
(sqrt.f64 (/.f64 9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)))
(log.f64 (exp.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(cbrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 3))
(expm1.f64 (log1p.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(exp.f64 (log.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(exp.f64 (*.f64 (log.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 1))
(log1p.f64 (expm1.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.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 (/.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 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
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(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (*.f64 (/.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (+.f64 (/.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 -2/3 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (fma.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (PI.f64) -2/3)) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (-.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (fma.f64 (pow.f64 (PI.f64) 2) 4/9 (*.f64 (/.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (+.f64 (/.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 -2/3 (PI.f64))))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3)) (fma.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) (+.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (PI.f64) -2/3)) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 1)
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 2)
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 3)
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 3) 1/3)
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2/3 (PI.f64) (/.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) 2))
(fabs.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(log.f64 (exp.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))) 1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 2/3 (PI.f64) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (PI.f64) 2/3 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 1 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (sqrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) 2) (cbrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1)) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.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))) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) 1)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 3 (/.f64 1 (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 1)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (sqrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sqrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) (pow.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 (/.f64 1 (acos.f64 (/.f64 (neg.f64 g) h))) 3)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 -3 (/.f64 -1 (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 1)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3) -1)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (sqrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (cbrt.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 3)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(pow.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 3) 1/3)
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(sqrt.f64 (/.f64 9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2)))
(log.f64 (exp.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(cbrt.f64 (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 3))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(expm1.f64 (log1p.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(exp.f64 (log.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(exp.f64 (*.f64 (log.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))) 1))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))
(log1p.f64 (expm1.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 95 to 49 computations (48.4% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 95 to 49 computations (48.4% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
g
@0
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms
g
@inf
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms
g
@-inf
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms
h
@-inf
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
0.0ms
h
@inf
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

rewrite390.0ms (3.8%)

Algorithm
batch-egg-rewrite
Rules
1454×associate-*l/
1110×associate-/r*
1082×associate-/l*
394×add-sqr-sqrt
376×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01835
139331
2498631
Stop Event
node limit
Counts
1 → 34
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 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simplify86.0ms (0.8%)

Algorithm
egg-herbie
Rules
1546×distribute-lft-in
1184×associate-+r+
1106×associate-*r*
1100×associate-/l*
876×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0984280
12404178
29033916
340683916
Stop Event
node limit
Counts
58 → 59
Calls
Call 1
Inputs
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(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 1 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(*.f64 1 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (+.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(+.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
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(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.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)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 98 to 52 computations (46.9% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite98.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1436×associate-*l/
1106×associate-/r*
1082×associate-/l*
396×add-sqr-sqrt
376×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01876
140068
2507468
Stop Event
node limit
Counts
2 → 64
Calls
Call 1
Inputs
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
Outputs
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simplify116.0ms (1.1%)

Algorithm
egg-herbie
Rules
1022×associate-/r/
932×unswap-sqr
722×+-commutative
588×*-commutative
582×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01627350
13857088
215106826
359816826
Stop Event
node limit
Counts
112 → 96
Calls
Call 1
Inputs
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(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
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(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.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)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/3))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
Outputs
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 3)
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) 1)
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(*.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(*.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1)
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(*.f64 1 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(*.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3/2) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3/2))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(*.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (*.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (/.f64 (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cos.f64 (fma.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)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/3))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

localize273.0ms (2.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(sin.f64 (*.f64 2/3 (PI.f64)))
1.0b
(*.f64 2/3 (PI.f64))
1.6b
(cos.f64 (*.f64 2/3 (PI.f64)))
59.4b
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
Compiler

Compiled 591 to 335 computations (43.3% saved)

series50.0ms (0.5%)

Counts
3 → 24
Calls

6 calls:

TimeVariablePointExpression
35.0ms
h
@inf
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
5.0ms
g
@inf
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
4.0ms
g
@0
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
2.0ms
g
@-inf
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
2.0ms
h
@-inf
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))

rewrite148.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
596×associate-+l+
522×add-sqr-sqrt
504×pow1
504×*-un-lft-identity
482×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023165
1504105
26935105
Stop Event
node limit
Counts
3 → 87
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(sin.f64 (*.f64 2/3 (PI.f64)))
Outputs
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simplify238.0ms (2.3%)

Algorithm
egg-herbie
Rules
1708×distribute-lft-in
1662×associate-/l*
1616×associate-/r*
544×associate-*r*
520×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022013209
151113015
2285413015
Stop Event
node limit
Counts
111 → 114
Calls
Call 1
Inputs
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(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4) (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))) (neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
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(sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2))
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(fma.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
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(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 1 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 1 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
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(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
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(fma.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (pow.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64))))) 1)
(*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(*.f64 1 (cos.f64 (*.f64 2/3 (PI.f64))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64))))) 1)
(*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 1)
(*.f64 1 (sin.f64 (*.f64 2/3 (PI.f64))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
Outputs
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (*.f64 (sin.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))) (sin.f64 (*.f64 2/3 (PI.f64)))))))
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(fma.f64 (pow.f64 (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) 2) (pow.f64 (sin.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (*.f64 (cos.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))) (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.f64 (*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))))))
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(*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
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(*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
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(*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (+.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
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(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 2/3 (PI.f64))))) 1)
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(*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(*.f64 1 (cos.f64 (*.f64 2/3 (PI.f64))))
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(*.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
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(*.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2) (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))))
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(pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 1)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 2)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 2/3 (PI.f64)))) 3)
(cos.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3) 1/3)
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(sqrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 2))
(fabs.f64 (cos.f64 (*.f64 2/3 (PI.f64))))
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(cos.f64 (*.f64 2/3 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 2/3 (PI.f64))))))
(cos.f64 (*.f64 2/3 (PI.f64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 2/3 (PI.f64))) 3))
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(sin.f64 (*.f64 2/3 (PI.f64)))
(*.f64 1 (sin.f64 (*.f64 2/3 (PI.f64))))
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(sin.f64 (*.f64 2/3 (PI.f64)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 2)
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(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))))
(sin.f64 (*.f64 2/3 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) 1))
(sin.f64 (*.f64 2/3 (PI.f64)))
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eval1.1s (11.3%)

Compiler

Compiled 73231 to 44477 computations (39.3% saved)

prune292.0ms (2.9%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New113641140
Fresh000
Picked101
Done066
Total1137101147
Error
0b
Counts
1147 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.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)))))))
0.1b
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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))))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
1.0b
(*.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
Compiler

Compiled 341 to 255 computations (25.2% saved)

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 133 to 75 computations (43.6% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
g
@0
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
0.0ms
h
@inf
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
0.0ms
g
@inf
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
0.0ms
g
@-inf
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
0.0ms
h
@-inf
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))

rewrite89.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1436×associate-*l/
1108×associate-/r*
414×add-sqr-sqrt
394×*-un-lft-identity
390×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02035
143031
2526631
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
Outputs
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simplify92.0ms (0.9%)

Algorithm
egg-herbie
Rules
1656×distribute-lft-in
1208×associate-+r+
1118×associate-/l*
958×associate-*r*
894×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01134766
12744664
29264402
337414402
Stop Event
node limit
Counts
64 → 68
Calls
Call 1
Inputs
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(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.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)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/3))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(fma.f64 2 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (+.f64 (neg.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) 3) (pow.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (*.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) (+.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (*.f64 (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (/.f64 (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) 3) (pow.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) (*.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (sin.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (*.f64 2/3 (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))) 3)) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (*.f64 2/3 (PI.f64))))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) 1/3)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 3)
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.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)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (*.f64 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/3))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (sin.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64))))))
(-.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (*.f64 2/3 (PI.f64)))))
(fma.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (neg.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

localize77.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)
1.0b
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
1.0b
(*.f64 2/3 (PI.f64))
1.0b
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))
Compiler

Compiled 219 to 124 computations (43.4% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
g
@0
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
1.0ms
g
@-inf
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
1.0ms
g
@inf
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
1.0ms
h
@inf
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
1.0ms
h
@-inf
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))

rewrite122.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
548×add-sqr-sqrt
524×*-un-lft-identity
518×pow1
512×add-exp-log
510×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025153
155581
2739481
Stop Event
node limit
Counts
3 → 140
Calls
Call 1
Inputs
(-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))
(log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)
Outputs
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simplify130.0ms (1.3%)

Algorithm
egg-herbie
Rules
1242×associate-/r*
758×*-commutative
736×associate-+l+
686×associate-+r+
652×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033111622
181311394
2331111290
Stop Event
node limit
Counts
212 → 194
Calls
Call 1
Inputs
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(pow.f64 (cbrt.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(exp.f64 (log.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(fma.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 (PI.f64) -2/3))
(fma.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (PI.f64) -2/3))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (PI.f64) -2/3))
(+.f64 (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(+.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) (sin.f64 (/.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) (*.f64 (cos.f64 (/.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) (cos.f64 (/.f64 (*.f64 4/9 (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))) 1)
(*.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 1)
(*.f64 1 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))
(*.f64 (sqrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) (sqrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(*.f64 (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 2)) (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 1)
(pow.f64 (sqrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 2))
(log.f64 (exp.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 3))
(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(exp.f64 (log.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) 1)
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 1/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) 1)
(*.f64 1 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))
(*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (*.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9)
(*.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3)
(*.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 3 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 3))
(/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))
(/.f64 1 (*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)
(/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3))
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) 9)
(/.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (acos.f64 (/.f64 (neg.f64 g) h))) 3)
(/.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) -3)
(/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -3)
(/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) -9)
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) -9)
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1) (*.f64 -3 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(sqrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))))
(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
Outputs
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (PI.f64) -2/3))
(-.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) 1/3 (*.f64 (PI.f64) -2/3))
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(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 2))
(sqrt.f64 (pow.f64 (cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))) 2))
(fabs.f64 (cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(fabs.f64 (cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(log.f64 (exp.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cbrt.f64 (pow.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))) 3))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(expm1.f64 (log1p.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64)))))) 1))
(cos.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 2) (*.f64 (pow.f64 (PI.f64) 2) -4/9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
(cos.f64 (/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -4/9) (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(cos.f64 (/.f64 (fma.f64 (pow.f64 (PI.f64) 2) -4/9 (*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))) (fma.f64 (PI.f64) -2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))) 1)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 1/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) 1)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 1 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) 2) (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (*.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4)) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) 2) (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 4)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2) (cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (acos.f64 (/.f64 (neg.f64 g) h))) 1/3)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(*.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (pow.f64 (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2)) (cbrt.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 3 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) 3))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 1 (*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 9)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (*.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -3))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) 9)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (acos.f64 (/.f64 (neg.f64 g) h))) 3)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) -3)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) -3)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h)))) -9)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) (acos.f64 (/.f64 (neg.f64 g) h))) -9)
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (neg.f64 g) h))) 1) (*.f64 -3 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h)))))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(sqrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 4))
(sqrt.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2))))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 6))
(cbrt.f64 (pow.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(exp.f64 (*.f64 2 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2)))
(*.f64 1/9 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 2))
(*.f64 1/9 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2))

localize223.0ms (2.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.6b
(cos.f64 (*.f64 2/3 (PI.f64)))
59.6b
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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)))))
60.3b
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Compiler

Compiled 498 to 283 computations (43.2% saved)

series340.0ms (3.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
101.0ms
h
@inf
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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)))))
95.0ms
g
@0
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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)))))
40.0ms
g
@inf
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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)))))
37.0ms
g
@-inf
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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)))))
34.0ms
h
@-inf
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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)))))

rewrite138.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1538×associate-*l/
496×add-sqr-sqrt
478×*-un-lft-identity
474×pow1
462×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022169
1476133
26303133
Stop Event
node limit
Counts
3 → 159
Calls
Call 1
Inputs
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
Outputs
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simplify201.0ms (2%)

Algorithm
egg-herbie
Rules
1262×associate-/l*
968×associate-+r+
956×associate-+l+
860×+-commutative
632×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041520713
1109320253
2465519885
Stop Event
node limit
Counts
231 → 312
Calls
Call 1
Inputs
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(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3) 3)) 1) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (-.f64 (*.f64 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)) (*.f64 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9))) 1) (neg.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3))) 1) (neg.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3))) (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9))) (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (sqrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))) (cbrt.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (/.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) (/.f64 1 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) 3) (pow.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9) 3)) (/.f64 1 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (/.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))))) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 2) 1/9))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3))) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 3) (pow.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9) (*.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (+.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (*.f64 (pow.f64 (PI.f64) 3) 8/27)) (+.f64 (*.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)) (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3)))))
(pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(pow.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(log.f64 (exp.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (log.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (sqrt.f64 (*.f64 2/3 (PI.f64))) (sqrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
Outputs
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
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(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
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(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
(cos.f64 (fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64))))
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3)))
(cos.f64 (fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3)))
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(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 512/19683) (/.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 3) 19683)) (fma.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (pow.f64 (PI.f64) 2) 4/9))) (fma.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27) (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (/.f64 (pow.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 27)) (*.f64 (pow.f64 (PI.f64) 6) 64/729)))
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 8/27) 3) (/.f64 (pow.f64 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 3) 19683)) (*.f64 (fma.f64 (/.f64 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 27) (fma.f64 (pow.f64 (PI.f64) 3) 8/27 (/.f64 (pow.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) 27)) (*.f64 (pow.f64 (PI.f64) 6) 64/729)) (fma.f64 (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3) (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) (*.f64 (pow.f64 (PI.f64) 2) 4/9))))
(pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 1)
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(pow.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3) 1/3)
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)) 2))
(fabs.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(fabs.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3)))
(log.f64 (exp.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(exp.f64 (log.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 1))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
(fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) -3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (acos.f64 (neg.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 (neg.f64 g) h)) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))
(fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3 (*.f64 2/3 (PI.f64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (/.f64 (neg.f64 g) h)) -1/3))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 4/9)) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 (acos.f64 (neg.f64 (/.f64 g h))) -1/3))

localize168.0ms (1.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(*.f64 2/3 (PI.f64))
1.0b
(-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.6b
(cos.f64 (*.f64 2/3 (PI.f64)))
60.3b
(cos.f64 (-.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Compiler

Compiled 444 to 248 computations (44.1% saved)

eval1.8s (17.2%)

Compiler

Compiled 96778 to 57810 computations (40.3% saved)

prune446.0ms (4.4%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New113211133
Fresh000
Picked011
Done189
Total1133101143
Error
0b
Counts
1143 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.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)))))))
0.1b
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
1.0b
(*.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
Compiler

Compiled 282 to 220 computations (22% saved)

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
1.0b
(cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
1.0b
(*.f64 2/3 (PI.f64))
Compiler

Compiled 154 to 84 computations (45.5% saved)

series11.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite93.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1432×associate-*l/
1102×associate-/r*
424×add-sqr-sqrt
404×*-un-lft-identity
402×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01986
141578
2534278
Stop Event
node limit
Counts
2 → 47
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) 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simplify97.0ms (1%)

Algorithm
egg-herbie
Rules
1056×distribute-lft-in
1052×distribute-rgt-in
948×associate-/l*
854×associate-/r*
834×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01385221
13145221
28895197
331345197
Stop Event
node limit
Counts
95 → 72
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(*.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 1)
(*.f64 (cos.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 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2) (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)))
(*.f64 1 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))
(*.f64 (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (sqrt.f64 (cos.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(*.f64 (*.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (sqrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (*.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 2)))
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 2)
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.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 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) 2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
Outputs
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))) 2))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) (fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(/.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))))
(/.f64 (*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (*.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))))))
(*.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (fma.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (*.f64 (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (fma.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
(/.f64 (*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (cos.f64 (-.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)) (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1) 2)
(fma.f64 1/2 (cos.f64 (*.f64 2 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) 1/2)
(fma.f64 1/2 (cos.f64 (fma.f64 (PI.f64) 4/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3/2))) 1/2)
(fma.f64 1/2 (cos.f64 (fma.f64 (PI.f64) 4/3 (*.f64 2/3 (acos.f64 (/.f64 (neg.f64 g) h))))) 1/2)
(sqrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 4))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2) 3))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)))
(pow.f64 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)

eval168.0ms (1.7%)

Compiler

Compiled 11555 to 7046 computations (39% saved)

prune53.0ms (0.5%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New2142216
Fresh000
Picked101
Done189
Total21610226
Error
0b
Counts
226 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
1.6b
(*.f64 2 (*.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 1)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
0.1b
(*.f64 2 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))))
1.0b
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
1.0b
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
1.0b
(*.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
Compiler

Compiled 233 to 195 computations (16.3% saved)

regimes58.0ms (0.6%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.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 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(*.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
(*.f64 2 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) 2) (*.f64 4/9 (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3) (*.f64 2/3 (PI.f64))))))))
(*.f64 2 (*.f64 (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2))) 1)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.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 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 2/3 (PI.f64)))) (sin.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 2 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))) (*.f64 (*.f64 (cos.f64 (*.f64 2/3 (PI.f64))) (cos.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) (*.f64 (sin.f64 (*.f64 2/3 (PI.f64))) (sin.f64 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))))
Outputs
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
Calls

9 calls:

9.0ms
h
9.0ms
(neg.f64 g)
7.0ms
g
6.0ms
(/.f64 (neg.f64 g) h)
4.0ms
(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
Results
ErrorSegmentsBranch
0.1b1g
0.1b1h
0.1b1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
0.1b1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.1b1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
0.1b1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.1b1(acos.f64 (/.f64 (neg.f64 g) h))
0.1b1(/.f64 (neg.f64 g) h)
0.1b1(neg.f64 g)
Compiler

Compiled 638 to 411 computations (35.6% saved)

regimes39.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.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 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(*.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
(*.f64 2 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
Outputs
(*.f64 2 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
Calls

9 calls:

6.0ms
g
6.0ms
(neg.f64 g)
5.0ms
h
5.0ms
(/.f64 (neg.f64 g) h)
3.0ms
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
Results
ErrorSegmentsBranch
0.1b1g
0.1b1h
0.1b1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
0.1b1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
0.1b1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
0.1b1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.1b1(acos.f64 (/.f64 (neg.f64 g) h))
0.1b1(/.f64 (neg.f64 g) h)
0.1b1(neg.f64 g)
Compiler

Compiled 245 to 174 computations (29% saved)

regimes37.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.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 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (pow.f64 (/.f64 3 (acos.f64 (/.f64 (neg.f64 g) h))) -1))))
(*.f64 2 (log.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))
(*.f64 2 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 3)))))
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
(/.f64 (neg.f64 g) h)
6.0ms
h
5.0ms
g
5.0ms
(neg.f64 g)
2.0ms
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Results
ErrorSegmentsBranch
1.0b1g
1.0b1h
1.0b1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b1(acos.f64 (/.f64 (neg.f64 g) h))
1.0b1(/.f64 (neg.f64 g) h)
1.0b1(neg.f64 g)
Compiler

Compiled 210 to 151 computations (28.1% saved)

regimes28.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

9 calls:

6.0ms
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
4.0ms
(neg.f64 g)
3.0ms
h
3.0ms
g
3.0ms
(/.f64 (neg.f64 g) h)
Results
ErrorSegmentsBranch
1.0b1g
1.0b1h
1.0b1(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b1(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b1(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b1(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b1(acos.f64 (/.f64 (neg.f64 g) h))
1.0b1(/.f64 (neg.f64 g) h)
1.0b1(neg.f64 g)
Compiler

Compiled 113 to 90 computations (20.4% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035304
152304
256304
359304
460304
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))))
(*.f64 2 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))) 1/2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))))
(*.f64 2 (*.f64 (cbrt.f64 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))) (cbrt.f64 (+.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3)))))))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (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 2/3 (PI.f64)) (/.f64 (acos.f64 (neg.f64 (/.f64 g h))) 3))))
Compiler

Compiled 101 to 81 computations (19.8% saved)

soundness16.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×fma-def
14×*-commutative
14×associate-+l-
14×+-commutative
associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851
12945
24341
35441
46141
57141
68541
710941
Stop Event
saturated
Compiler

Compiled 64 to 44 computations (31.3% saved)

end53.0ms (0.5%)

Compiler

Compiled 95 to 63 computations (33.7% saved)

Profiling

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