Details

Time bar (total: 5.4s)

analyze107.0ms (2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%68.7%6.3%5
25%65.6%9.5%6
37.5%39%23.5%7
37.5%36.7%25.9%8
43.7%20.7%35.6%9
43.7%19.3%37%10
46.8%10.6%42.5%11
46.8%9.9%43.3%12
Compiler

Compiled 19 to 17 computations (10.5% saved)

sample1.6s (30.5%)

Results
1.5s8256×body256valid
178.0ms1114×body256invalid

preprocess26.0ms (0.5%)

Algorithm
egg-herbie
Rules
32×fma-def_binary64
16×sub-neg_binary64
12×+-commutative_binary64
12×div-sub_binary64
10×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252
13946
25942
37942
49342
511642
614042
717442
817642
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 h) g)) 3))))
Compiler

Compiled 20 to 18 computations (10% saved)

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×fma-def_binary64
sub-neg_binary64
*-commutative_binary64
+-commutative_binary64
div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01526
12623
24021
35121
45821
57021
68221
79821
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (/.f64 2 (/.f64 3 (PI.f64))) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (+.f64 (*.f64 2/3 (PI.f64)) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 2/3 (PI.f64) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (fma.f64 (PI.f64) 2/3 (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

eval1.0ms (0%)

Compiler

Compiled 31 to 23 computations (25.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
1.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
1.0b
(*.f64 2 (cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(/.f64 (*.f64 2 (PI.f64)) 3)
Compiler

Compiled 76 to 41 computations (46.1% saved)

series12.0ms (0.2%)

Counts
4 → 72
Calls

18 calls:

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

rewrite111.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
749×log-prod_binary64
378×fma-def_binary64
283×expm1-udef_binary64
283×log1p-udef_binary64
268×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01463
132644
2478144
Stop Event
node limit
Counts
4 → 192
Calls
Call 1
Inputs
(/.f64 (*.f64 2 (PI.f64)) 3)
(cos.f64 (+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (/.f64 (*.f64 2 (PI.f64)) 3) (/.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 0 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) 2/3))) (cbrt.f64 (exp.f64 (*.f64 (PI.f64) 2/3))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (PI.f64) 2/3)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 2/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 3 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (PI.f64) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 2) (cbrt.f64 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 2)) (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) (sqrt.f64 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) -2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/3 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3/2 (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (PI.f64)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2/3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) (sin.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) -3))) (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) 2/3))) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 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simplify65.0ms (1.2%)

Algorithm
egg-herbie
Rules
18×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141080
1221080
2321080
3381080
4441080
5521080
6601080
7701080
8781080
9921080
Stop Event
saturated
Counts
264 → 198
Calls
Call 1
Inputs
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(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64))))
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(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
Outputs
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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))))
(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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(cos.f64 (fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))
(*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))))
(*.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)))

eval85.0ms (1.6%)

Compiler

Compiled 4343 to 2800 computations (35.5% saved)

prune34.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1944198
Fresh000
Picked101
Done000
Total1954199
Error
0.0b
Counts
199 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
2.2b
(*.f64 2 (cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
1.2b
(*.f64 2 (+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 93 to 75 computations (19.4% saved)

localize24.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))
0.9b
(cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))))
1.0b
(*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))
Compiler

Compiled 59 to 31 computations (47.5% saved)

series14.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
g
@0
(*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))
2.0ms
h
@-inf
(cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))))
1.0ms
g
@inf
(cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))))
1.0ms
g
@0
(cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))))
1.0ms
h
@inf
(cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))))

rewrite87.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
633×log-prod_binary64
352×pow-prod-down_binary64
345×pow2_binary64
291×fma-def_binary64
240×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01247
126341
2354341
Stop Event
node limit
Counts
3 → 137
Calls
Call 1
Inputs
(*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))
(cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))))
(+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64)))
Outputs
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simplify32.0ms (0.6%)

Algorithm
egg-herbie
Rules
10×fma-def_binary64
*-commutative_binary64
associate-*r*_binary64
associate-*l*_binary64
distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012984
122984
237984
346984
Stop Event
saturated
Counts
209 → 141
Calls
Call 1
Inputs
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
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(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
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(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
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(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(cos.f64 (*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))))
(cos.f64 (*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))))
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(cos.f64 (*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))))
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(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
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(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
Outputs
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(*.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))
(fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))
(*.f64 1/3 (+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h))))
(*.f64 1/3 (fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h))))
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(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))
(+.f64 (*.f64 2 (PI.f64)) (acos.f64 (/.f64 g h)))
(fma.f64 2 (PI.f64) (acos.f64 (/.f64 g h)))

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b
(*.f64 (PI.f64) 2/3)
Compiler

Compiled 66 to 32 computations (51.5% saved)

series7.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite120.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
651×log-prod_binary64
366×pow2_binary64
307×fma-def_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01339
129835
2413535
Stop Event
node limit
Counts
3 → 118
Calls
Call 1
Inputs
(*.f64 (PI.f64) 2/3)
(cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
Outputs
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simplify85.0ms (1.6%)

Algorithm
egg-herbie
Rules
18×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014816
122816
232816
338816
444816
552816
660816
770816
878816
992816
Stop Event
saturated
Counts
166 → 122
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))))
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(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))))
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Outputs
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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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(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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(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))

localize47.0ms (0.9%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.9b
(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b
(+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b
(cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
Compiler

Compiled 78 to 43 computations (44.9% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite97.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
968×prod-diff_binary64
304×fma-def_binary64
288×expm1-udef_binary64
288×log1p-udef_binary64
179×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01544
134430
2472930
Stop Event
node limit
Counts
2 → 109
Calls
Call 1
Inputs
(cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
(+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
Outputs
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(/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) 2/3) 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3) 1 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) 2/3) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (acos.f64 (/.f64 g h)) 1/3) (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (PI.f64) 2/3)) (cbrt.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -2)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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fma.f64 (neg.f64 (acos.f64 (/.f64 g h))) -1/3 (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 (PI.f64) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2/3)) (sqrt.f64 (*.f64 (PI.f64) 2/3)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (PI.f64) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (pow.f64 (/.f64 1 (PI.f64)) -1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 3/2 (PI.f64))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 3/2 (PI.f64))) -1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (/.f64 3/2 (PI.f64))) -1) (pow.f64 (sqrt.f64 (/.f64 3/2 (PI.f64))) -1) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/3 (neg.f64 (PI.f64)) (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))

simplify81.0ms (1.5%)

Algorithm
egg-herbie
Rules
18×fma-def_binary64
sub-neg_binary64
+-commutative_binary64
*-commutative_binary64
fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014816
122816
232816
338816
444816
552816
660816
770816
878816
992816
Stop Event
saturated
Counts
157 → 113
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)))
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))))
(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))))
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(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))))
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(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))))
(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))))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))
(+.f64 (*.f64 1/3 (acos.f64 (*.f64 -1 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (neg.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
(fma.f64 1/3 (acos.f64 (/.f64 (neg.f64 g) h)) (*.f64 2/3 (PI.f64)))

localize200.0ms (3.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
0.1b
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))))
0.9b
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))
1.0b
(*.f64 (PI.f64) 2/3)
Compiler

Compiled 206 to 123 computations (40.3% saved)

series313.0ms (5.8%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
80.0ms
h
@inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
60.0ms
g
@0
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
57.0ms
g
@inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
34.0ms
h
@-inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
33.0ms
g
@-inf
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))

rewrite136.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
624×log-prod_binary64
353×pow2_binary64
326×pow-prod-down_binary64
248×expm1-udef_binary64
248×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01458
127855
2326455
Stop Event
node limit
Counts
3 → 113
Calls
Call 1
Inputs
(cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))) (*.f64 2/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))) (*.f64 1/2 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))) (*.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 (PI.f64) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (cos.f64 (*.f64 (PI.f64) 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simplify201.0ms (3.7%)

Algorithm
egg-herbie
Rules
852×log-prod_binary64
669×fma-def_binary64
590×distribute-rgt-in_binary64
491×distribute-lft-in_binary64
362×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0151392
1271320
2391320
3521320
4961320
52511320
68371320
721071320
833661320
944431320
1060841320
1166491320
1272311320
Stop Event
node limit
Counts
185 → 119
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
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(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
Outputs
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))) 1/3))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))))
(*.f64 1/3 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))

eval617.0ms (11.4%)

Compiler

Compiled 28480 to 18634 computations (34.6% saved)

prune112.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New7861787
Fresh000
Picked101
Done033
Total7874791
Error
0.0b
Counts
791 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
1.2b
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))
2.2b
(*.f64 2 (cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
Compiler

Compiled 78 to 65 computations (16.7% saved)

localize90.0ms (1.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
0.9b
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
1.0b
(pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
1.0b
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
Compiler

Compiled 128 to 72 computations (43.8% saved)

series40.0ms (0.7%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
g
@0
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
5.0ms
g
@-inf
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
5.0ms
h
@-inf
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
5.0ms
g
@inf
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
5.0ms
h
@inf
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))

rewrite121.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
598×log-prod_binary64
348×pow2_binary64
315×pow-prod-down_binary64
244×expm1-udef_binary64
244×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01465
128865
2329065
Stop Event
node limit
Counts
4 → 100
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))
(pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)
(*.f64 (acos.f64 (/.f64 g h)) 1/3)
(cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))
Outputs
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(/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (PI.f64) 2/3)) (cos.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)) (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) 2/3)) (sin.f64 (*.f64 (acos.f64 (/.f64 g h)) 1/3)))))))))

simplify319.0ms (5.9%)

Algorithm
egg-herbie
Rules
1041×sqr-pow_binary64
796×unswap-sqr_binary64
575×cube-prod_binary64
526×fabs-mul_binary64
429×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151560
1291560
2441560
3641560
41111560
52941560
610941560
725911560
828281560
931701560
1035361560
1140421560
1247271560
1355891560
1461261560
1566161560
1669401560
1771411560
1872431560
Stop Event
node limit
Counts
196 → 107
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
Outputs
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2))
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)
(pow.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))) 2)
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(*.f64 1/3 (acos.f64 (/.f64 g h)))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))
(cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64))))
(cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))

eval106.0ms (2%)

Compiler

Compiled 5278 to 3435 computations (34.9% saved)

prune24.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1571158
Fresh000
Picked101
Done033
Total1584162
Error
0.0b
Counts
162 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
2.2b
(*.f64 2 (cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.2b
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) 2/3 (*.f64 (acos.f64 (/.f64 g h)) 1/3))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
Compiler

Compiled 79 to 66 computations (16.5% saved)

localize66.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiled 161 to 90 computations (44.1% saved)

series2.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite78.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
570×log-prod_binary64
324×pow-prod-down_binary64
315×pow2_binary64
301×fma-def_binary64
219×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
124019
2315819
Stop Event
node limit
Counts
2 → 83
Calls
Call 1
Inputs
(*.f64 2/3 (PI.f64))
(+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/3 (PI.f64) (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) 2/3 (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (PI.f64)) 1 (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (acos.f64 (/.f64 g h)) 1/3 (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) 1 (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/3 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (acos.f64 (/.f64 g h)) 2)) (*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) 1/3) (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) 2/3) (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) 2) (cbrt.f64 (*.f64 1/3 (acos.f64 (/.f64 g h)))) (*.f64 2/3 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2/3 (PI.f64))) 2) (cbrt.f64 (*.f64 2/3 (PI.f64))) (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change 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(cbrt.f64 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/3 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 1/3 (acos.f64 (/.f64 g h))))))))

simplify12.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
83 → 83
Calls
Call 1
Inputs
Outputs

eval100.0ms (1.8%)

Compiler

Compiled 4810 to 3169 computations (34.1% saved)

prune25.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1381139
Fresh000
Picked101
Done033
Total1394143
Error
0.0b
Counts
143 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
2.2b
(*.f64 2 (cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (pow.f64 (/.f64 3/2 (PI.f64)) -1) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.0b
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
1.2b
(*.f64 2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))) 2)) (cbrt.f64 (cos.f64 (+.f64 (*.f64 1/3 (acos.f64 (/.f64 g h))) (*.f64 2/3 (PI.f64)))))))
Compiler

Compiled 80 to 67 computations (16.3% saved)

regimes44.0ms (0.8%)

Accuracy

Total -1.2b remaining (-121.6%)

Threshold costs -1.2b (-121.6%)

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

9 calls:

8.0ms
h
7.0ms
(/.f64 (neg.f64 g) h)
6.0ms
g
5.0ms
(neg.f64 g)
3.0ms
(*.f64 2 (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 268 to 191 computations (28.7% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02344
13544
23944
34244
44344
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
Outputs
(*.f64 2 (cos.f64 (+.f64 (*.f64 (PI.f64) 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))
(*.f64 2 (cos.f64 (*.f64 1/3 (+.f64 (acos.f64 (/.f64 g h)) (*.f64 2 (PI.f64))))))
Compiler

Compiled 31 to 27 computations (12.9% saved)

soundness0.0ms (0%)

end28.0ms (0.5%)

Compiler

Compiled 29 to 24 computations (17.2% saved)

Profiling

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