Details

Time bar (total: 13.7s)

analyze156.0ms (1.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
28.6%25%62.5%0%0%0%12.5%4
30.8%25%56.2%0%0%0%18.7%5
36%28.1%50%0%0%0%21.9%6
38.8%29.7%46.9%0%0%0%23.4%7
40.2%30.5%45.3%0%0%0%24.2%8
40.7%30.8%44.9%0%0%0%24.2%9
41.2%31.2%44.5%0%0%0%24.2%10
41.4%31.3%44.4%0%0%0%24.2%11
41.5%31.4%44.3%0%0%0%24.3%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.9s (14.1%)

Results
1.0s2769×body1024valid
398.0ms3778×body256valid
316.0ms1393×body512valid
149.0ms316×body2048valid
4.0ms40×body256infinite
0.0msbody256unsamplable
Bogosity

preprocess188.0ms (1.4%)

Algorithm
egglog
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify60.0ms (0.4%)

Algorithm
egglog
Counts
1 → 2
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

eval1.0ms (0%)

Compiler

Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
0.0b
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
Compiler

Compiled 26 to 6 computations (76.9% saved)

series15.0ms (0.1%)

Counts
2 → 22
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
1.0ms
x
@-inf
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
1.0ms
x
@inf
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
1.0ms
x
@0
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
0.0ms
x
@inf
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Compiler

Compiled 1570 to 1275 computations (18.8% saved)

rewrite112.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
95×egg-rr
25×egg-rr
Counts
2 → 120
Calls
Call 1
Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Outputs
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simplify830.0ms (6.1%)

Algorithm
egglog
Counts
142 → 144
Calls
Call 1
Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) 0) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
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(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) 2))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) 2) (fma.f64 1/2 (*.f64 x x) x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (-.f64 1/2 1/8) (*.f64 x x)) x)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (-.f64 1/2 1/8) (*.f64 x x)) x)) (*.f64 (*.f64 (-.f64 1/6 (*.f64 (-.f64 1/2 1/8) 1/4)) (pow.f64 x 3)) (sqrt.f64 1/2)))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) 0) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) 0) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (/.f64 -1 (/.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (expm1.f64 (+.f64 x x)) 0) (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 (+.f64 x x))))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (exp.f64 x)) 0) (*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (*.f64 x 3)) -1)) (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (exp.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (+.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (exp.f64 x)) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) 0) (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (expm1.f64 x)) 0) (/.f64 (/.f64 (+.f64 (exp.f64 (*.f64 2 (+.f64 x x))) -1) (pow.f64 (expm1.f64 x) 2)) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (expm1.f64 x))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)) (+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 0) (/.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) 3)) (pow.f64 (expm1.f64 x) 3)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 2) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (expm1.f64 x) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 1 (expm1.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)) (+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (/.f64 1 (expm1.f64 x)) 0) (/.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) 3)) (pow.f64 (expm1.f64 x) 3)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 2) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (expm1.f64 x) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x))))) 0) (/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 3) (pow.f64 (/.f64 1 (expm1.f64 x)) 3)) (+.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (+.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (/.f64 1 (expm1.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 2) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (expm1.f64 x) 2))) 0) (/.f64 (/.f64 (expm1.f64 (*.f64 (+.f64 x x) 3)) (pow.f64 (expm1.f64 x) 3)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) 2) (/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) 1) (pow.f64 (expm1.f64 x) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (neg.f64 (expm1.f64 (+.f64 x x))) 0) (/.f64 1 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (neg.f64 (expm1.f64 (+.f64 x x))) 0) (pow.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))) -1) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0) (/.f64 (cbrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (neg.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(if (!=.f64 1 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) 2)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (/.f64 0 (neg.f64 (expm1.f64 x))) (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(-.f64 0 (neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
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(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) 2) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3)) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2/3))
(*.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3) 1/3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2) 1/2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 2))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))

eval37.0ms (0.3%)

Compiler

Compiled 3223 to 1245 computations (61.4% saved)

prune22.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1395144
Fresh000
Picked011
Done000
Total1396145
Error
0b
Counts
145 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.6b
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
22.5b
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
23.5b
(sqrt.f64 (+.f64 2 x))
18.9b
(sqrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
19.1b
(sqrt.f64 2)
Compiler

Compiled 105 to 74 computations (29.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
0.0b
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
0.6b
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
Compiler

Compiled 47 to 10 computations (78.7% saved)

series27.0ms (0.2%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
1.0ms
x
@0
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
0.0ms
x
@-inf
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
Compiler

Compiled 2870 to 2575 computations (10.3% saved)

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
63×egg-rr
55×egg-rr
Counts
2 → 118
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
Outputs
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simplify696.0ms (5.1%)

Algorithm
egglog
Counts
138 → 135
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (sqrt.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 1/4 (/.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (sqrt.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2))))) (pow.f64 x 3)) (sqrt.f64 (sqrt.f64 2)))))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 2 0) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 1 0) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2) 1) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2) 1))
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(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1)
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 4) 2)
(*.f64 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 8) 8)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) -2) -2)
(/.f64 (*.f64 8 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 8)
(/.f64 (*.f64 -2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -2)
(/.f64 (*.f64 8 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 8 2))
(/.f64 (*.f64 -2 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 -2 2))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 8) (*.f64 2 8))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -2) (*.f64 2 -2))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -2)
(/.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 4)) (cbrt.f64 4))
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(if (!=.f64 2 0) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(if (!=.f64 1 0) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
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(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 4) 2)
(*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1/2)
(*.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 2)))
(*.f64 (cbrt.f64 4) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 4)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 2)))
(*.f64 2 (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 8) 8)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -2) -2)
(/.f64 (*.f64 8 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 8)
(/.f64 (*.f64 -2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -2)
(/.f64 (*.f64 8 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 8 2))
(/.f64 (*.f64 -2 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 -2 2))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 8) (*.f64 2 8))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -2) (*.f64 2 -2))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) -2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (*.f64 (cbrt.f64 4) (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 4) 2))
(/.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 4)
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (sqrt.f64 8))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 4)) (*.f64 2 (cbrt.f64 4)))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) 4)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 2)) (sqrt.f64 8))
(/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1) 2)
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/2))
(fabs.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
Outputs
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(fma.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/2) (-.f64 1/4 1/16))) (*.f64 1/16 (sqrt.f64 1/8))) (*.f64 x x) (fma.f64 1/2 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 2)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (pow.f64 x 3)) (sqrt.f64 2))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(fma.f64 1/2 (*.f64 (*.f64 (+.f64 1/6 (*.f64 -1/2 (-.f64 1/4 1/16))) (pow.f64 x 3)) (sqrt.f64 1/2)) (fma.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/2) (-.f64 1/4 1/16))) (*.f64 1/16 (sqrt.f64 1/8))) (*.f64 x x) (fma.f64 1/2 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 2))))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1)))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (sqrt.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 1/4 (/.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))))))
(fma.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (-.f64 1/4 1/16)) (*.f64 1/16 (sqrt.f64 1/8))) (*.f64 x x)) (sqrt.f64 (sqrt.f64 2))) (fma.f64 (/.f64 x (sqrt.f64 (sqrt.f64 8))) 1/4 (sqrt.f64 (sqrt.f64 2))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (sqrt.f64 (sqrt.f64 2)))) (+.f64 (sqrt.f64 (sqrt.f64 2)) (+.f64 (*.f64 1/4 (/.f64 x (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/6 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2)))) (sqrt.f64 2))) (*.f64 1/4 (/.f64 (-.f64 (*.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (sqrt.f64 2))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2))))) (pow.f64 x 3)) (sqrt.f64 (sqrt.f64 2)))))))
(+.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 1/2) (-.f64 1/4 1/16)) (*.f64 1/16 (sqrt.f64 1/8))) (*.f64 x x)) (sqrt.f64 (sqrt.f64 2))) 1/2 (sqrt.f64 (sqrt.f64 2))) (fma.f64 1/2 (/.f64 (*.f64 (fma.f64 1/2 (*.f64 (+.f64 1/6 (*.f64 -1/2 (-.f64 1/4 1/16))) (sqrt.f64 1/2)) (*.f64 -1/4 (-.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1/4 1/16)) (/.f64 (*.f64 1/16 (sqrt.f64 1/8)) 2)))) (pow.f64 x 3)) (sqrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 1/4 x) (sqrt.f64 (sqrt.f64 8)))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) (-.f64 (exp.f64 x) 1))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 0) (/.f64 1 (/.f64 1 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 2 0) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(if (!=.f64 1 0) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2))
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
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(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 2))
(*.f64 (cbrt.f64 4) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 4)))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 2)))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 2 (/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 8) 8)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) -2) -2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 8 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 8)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 -2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 8 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 8 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 -2 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 -2 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 8) (*.f64 2 8))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) -2) (*.f64 2 -2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) -2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (cbrt.f64 4)) (cbrt.f64 4))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 4))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 2)) (cbrt.f64 4))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 4) (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (*.f64 (cbrt.f64 4) 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 4)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) (sqrt.f64 8))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 4)) (*.f64 2 (cbrt.f64 4)))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2) 4)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 2)) (sqrt.f64 8))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 1) 2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (cbrt.f64 4)) (cbrt.f64 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(/.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 3)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 1/2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 1)
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) 3/2))
(fabs.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))
(sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))

localize4.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series46.0ms (0.3%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (+.f64 2 x))
1.0ms
x
@0
(sqrt.f64 (+.f64 2 x))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 2 x))
Compiler

Compiled 1470 to 1175 computations (20.1% saved)

rewrite113.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
53×egg-rr
Counts
1 → 53
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) -1/2)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -2)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))))

simplify148.0ms (1.1%)

Algorithm
egglog
Counts
55 → 68
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) -1/2)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -2)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) -1) -1)
(*.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -1))
(*.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3)))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 2) 2)
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(/.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) 4)
(neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 x))))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) -1))
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
Outputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 (*.f64 1/8 (*.f64 x x)))) (sqrt.f64 2)))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (fma.f64 1/4 (pow.f64 (/.f64 x (sqrt.f64 8)) 3) (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 1/2 x) (*.f64 -1/2 (*.f64 1/8 (*.f64 x x)))) (sqrt.f64 2)))
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (+.f64 2 x) 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) -1/2)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -2)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 2 x)) -1)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 4/3) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 4/3) (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) -1) -1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) -1))
(sqrt.f64 (+.f64 2 x))
(*.f64 (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 4/3))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) (*.f64 2 2/3))) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 4/3))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))) (fabs.f64 (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4)))
(*.f64 (fabs.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))) (fabs.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)))
(*.f64 (fabs.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))
(cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) (pow.f64 (sqrt.f64 (+.f64 2 x)) 2/3))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 2 x)) 2) 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 2 x))) -1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) 4)
(sqrt.f64 (+.f64 2 x))
(neg.f64 (*.f64 -1 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(neg.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) -1))
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/2 (*.f64 x x) x)
9.3b
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
Compiler

Compiled 30 to 15 computations (50% saved)

series21.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
1.0ms
x
@0
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
0.0ms
x
@inf
(fma.f64 1/2 (*.f64 x x) x)
0.0ms
x
@-inf
(fma.f64 1/2 (*.f64 x x) x)
Compiler

Compiled 1880 to 1675 computations (10.9% saved)

rewrite94.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
38×egg-rr
26×egg-rr
Counts
2 → 64
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(fma.f64 1/2 (*.f64 x x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) (*.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) (/.f64 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (*.f64 x (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (*.f64 1/2 (*.f64 x x))) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (-.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x x)) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 1/2 x) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) 2) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 1/2 x) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 1/2 x) x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3))))))

simplify333.0ms (2.4%)

Algorithm
egglog
Counts
80 → 85
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))
(*.f64 1 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) (/.f64 2 2))
(pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2) 1/2)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) x)
(fma.f64 (*.f64 1/2 x) x x)
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))
(fma.f64 x 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1 x (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 x)
(fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (*.f64 x (cbrt.f64 x)) x)
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) x)
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) x)
(fma.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 x x)) x)
(fma.f64 (*.f64 x x) 1/2 x)
(if (!=.f64 (-.f64 x (*.f64 1/2 (*.f64 x x))) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (-.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x x)) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 x (*.f64 1/2 (*.f64 x x)))
(*.f64 1 (fma.f64 (*.f64 1/2 x) x x))
(*.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) 2) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))))
(*.f64 x (+.f64 (*.f64 1/2 x) 1))
(*.f64 x (+.f64 1 (*.f64 1/2 x)))
(*.f64 (+.f64 (*.f64 1/2 x) 1) x)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)))
(/.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) 3)
(pow.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3))
Outputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 x x) (-.f64 1/2 1/8)) x)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 x x) (-.f64 1/2 1/8)) x)) (sqrt.f64 2)) (*.f64 (*.f64 -1/4 (*.f64 (-.f64 1/2 1/8) (pow.f64 x 3))) (sqrt.f64 1/8)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (neg.f64 x) (sqrt.f64 1/2))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 1 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 3)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3) 1/3)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) (*.f64 2 1/2))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) (/.f64 2 2))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 1/2)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2) 1/2)
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))
(sqrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 1/2 x) x x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 x 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1 x (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (*.f64 x (cbrt.f64 x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) 1/2 x)
(*.f64 x (fma.f64 1/2 x 1))
(if (!=.f64 (-.f64 x (*.f64 1/2 (*.f64 x x))) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (-.f64 x (*.f64 1/2 (*.f64 x x)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (*.f64 x (*.f64 1/2 (-.f64 2 x))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (*.f64 x x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x x)) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (*.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) x) 2) (*.f64 x x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (*.f64 (*.f64 1/2 x) x) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (*.f64 x (-.f64 x (*.f64 1/2 (*.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) 2)))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (*.f64 (*.f64 1/2 x) x) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 x (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 x (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 1 (fma.f64 (*.f64 1/2 x) x x))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) 2) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 x (+.f64 (*.f64 1/2 x) 1))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 x (+.f64 1 (*.f64 1/2 x)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (+.f64 (*.f64 1/2 x) 1) x)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)))
(*.f64 x (fma.f64 1/2 x 1))
(/.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) 3)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 1/3)
(*.f64 x (fma.f64 1/2 x 1))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3))
(*.f64 x (fma.f64 1/2 x 1))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
0.2b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
0.4b
(cbrt.f64 (expm1.f64 (+.f64 x x)))
18.6b
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
Compiler

Compiled 73 to 26 computations (64.4% saved)

series70.0ms (0.5%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
2.0ms
x
@-inf
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
2.0ms
x
@0
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
1.0ms
x
@-inf
(cbrt.f64 (expm1.f64 (+.f64 x x)))
1.0ms
x
@inf
(cbrt.f64 (expm1.f64 (+.f64 x x)))
Compiler

Compiled 5270 to 4200 computations (20.3% saved)

rewrite184.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
90×egg-rr
87×egg-rr
33×egg-rr
15×egg-rr
Counts
4 → 225
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 1 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 0) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 1 (cbrt.f64 (expm1.f64 (+.f64 x x))))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 0) (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (cbrt.f64 (expm1.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))) (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2) 2) (cbrt.f64 (cbrt.f64 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(expm1.f64 (+.f64 x x)) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)) (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))))
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simplify354.0ms (2.6%)

Algorithm
egglog
Counts
257 → 297
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
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(-.f64 (/.f64 0 (neg.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))
(-.f64 0 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 1) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 -1 (cbrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (/.f64 -1 (cbrt.f64 (neg.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (expm1.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) -1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (neg.f64 (cbrt.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2) (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) -1) (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (neg.f64 (cbrt.f64 (expm1.f64 x)))) (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 1 -1) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x)))) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (expm1.f64 x)) (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (+.f64 x x)))) (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 (+.f64 x x)))) (expm1.f64 x)))
(*.f64 1 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))) 2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))) 2) 2))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (*.f64 (/.f64 -1 (expm1.f64 x)) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (expm1.f64 x)) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)))) 2) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (/.f64 -1 (expm1.f64 x))))
(*.f64 -1 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) 2) (/.f64 -1 (expm1.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (/.f64 -1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) 2) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x))))
(*.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (/.f64 (cbrt.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (cbrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (cbrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 1)
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 2))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (neg.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) 1) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) 1) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) 3)
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 1)
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))) 1))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (pow.f64 (expm1.f64 x) 3)))
Outputs
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 2) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))
(pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(pow.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 -2 x))) 1) 1/3)
(cbrt.f64 (expm1.f64 (+.f64 x x)))
(/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3) (pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3) (pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 1/3) (pow.f64 (pow.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) 2) 1/3)) (-.f64 (exp.f64 x) 1))
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(*.f64 (neg.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) (/.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x)))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (expm1.f64 x) 2))) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (cbrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)) (expm1.f64 x))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (expm1.f64 x) 2))))
(cbrt.f64 (*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))
(cbrt.f64 (*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2)))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2))) (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)) (expm1.f64 x))) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 1)
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 2))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (neg.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (neg.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (neg.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) 2)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (cbrt.f64 (*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) 1) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)))) (cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x)))) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x))) 1) (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2)))
(/.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2))) (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)))) (neg.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(cbrt.f64 (/.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (expm1.f64 x)) (pow.f64 (expm1.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) 2) (expm1.f64 x)))
(pow.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (pow.f64 (expm1.f64 x) 3)) 1/3)
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))) 3)
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) 1)
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(neg.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(neg.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (neg.f64 (expm1.f64 x))) 1))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x))

eval327.0ms (2.4%)

Compiler

Compiled 17639 to 8642 computations (51% saved)

prune130.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New7236729
Fresh000
Picked101
Done235
Total7269735
Error
0b
Counts
735 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
24.1b
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
24.1b
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
19.7b
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
62.1b
(*.f64 (sqrt.f64 1/2) x)
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
22.5b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
22.5b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
23.5b
(sqrt.f64 (+.f64 2 x))
19.1b
(sqrt.f64 2)
Compiler

Compiled 139 to 115 computations (17.3% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
Compiler

Compiled 12 to 12 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0
Compiler

Compiled 10 to 10 computations (0% saved)

rewrite212.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
291×egg-rr
Counts
1 → 291
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 8) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 8)) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 2 1/8) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 8 1/8) 0) (/.f64 (pow.f64 2 1/8) (/.f64 1 (pow.f64 8 1/8))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 32))) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 4) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 32)) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -2 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 8 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -2 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 512))))) -2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 4) 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 (+.f64 2/3 1/8))) (cbrt.f64 4)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 8 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 (+.f64 3 1/8))) 8) (sqrt.f64 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(cbrt.f64 (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) 2) (pow.f64 2 (+.f64 -1 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 2 (+.f64 1/6 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 32)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) 1) (pow.f64 2 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 1/2)) (pow.f64 2 (+.f64 1/3 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (cbrt.f64 16)) (fabs.f64 (cbrt.f64 (sqrt.f64 32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (sqrt.f64 (*.f64 2 64))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (sqrt.f64 32)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (neg.f64 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (neg.f64 (sqrt.f64 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (/.f64 2 (pow.f64 8 1/8))) (pow.f64 2 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (pow.f64 2 (-.f64 1 1/8))) (pow.f64 8 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (fabs.f64 (cbrt.f64 32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (cbrt.f64 4)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (fabs.f64 (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (neg.f64 (sqrt.f64 32))) (fabs.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 2)) (fabs.f64 (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 512) (fabs.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64)))) (fabs.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (fabs.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (sqrt.f64 2)) 3) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 -2 (cbrt.f64 (sqrt.f64 2))) 3) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (cbrt.f64 4) (pow.f64 8 1/8)) 3) (pow.f64 8 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 -4) 3) (pow.f64 (neg.f64 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 2 (+.f64 1/12 1/2)) 3) (sqrt.f64 (sqrt.f64 32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 2 (-.f64 2/3 1/8)) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 512))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 2))) 3) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 8 (cbrt.f64 (sqrt.f64 2))) 3) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64))) 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 8 1/8)) (neg.f64 (pow.f64 2 (neg.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 2 (pow.f64 8 1/8))) (neg.f64 (pow.f64 2 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 512)) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (neg.f64 (cbrt.f64 32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sqrt.f64 32))) (neg.f64 (sqrt.f64 (sqrt.f64 8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sqrt.f64 8))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 2 64))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 1/2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 2 (-.f64 1 1/8))) (neg.f64 (pow.f64 8 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 16)) (neg.f64 (cbrt.f64 (sqrt.f64 32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 2 (-.f64 1 1/12))) (neg.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 -4) (neg.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (sqrt.f64 32))) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 2 1/12)) (neg.f64 (pow.f64 2 (-.f64 -1/6 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 (-.f64 1 1/12)) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 1/12) (pow.f64 2 (-.f64 -1/6 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (pow.f64 2 1/8))) (pow.f64 2 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 2 1/12) (/.f64 (pow.f64 2 (-.f64 -1/6 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (pow.f64 2 (-.f64 1 1/12))) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 8)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 (*.f64 2 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log.f64 2) (cbrt.f64 1/2))) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 2) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 2) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log.f64 2) (sqrt.f64 1/2))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (log.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 64 (/.f64 1/6 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 16 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 (+.f64 -1/3 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (+.f64 2/3 -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (+.f64 -1/6 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (+.f64 -1/3 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (+.f64 5/6 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (+.f64 -1 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 64 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 512 (*.f64 1/3 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 (*.f64 2/3 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 (*.f64 1/6 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 (*.f64 1/12 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (*.f64 1/8 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (*.f64 1/6 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 (-.f64 2/3 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (-.f64 5/4 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (-.f64 1/6 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (-.f64 2/3 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 -1 1)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 2) 1/2) 1/2) (*.f64 (log.f64 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 2) 1/2) 2/3) (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 2) 1/2) 2/3) (*.f64 (log.f64 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (log.f64 2) -2) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 2) 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 8) 1/6))))))

simplify403.0ms (2.9%)

Algorithm
egglog
Counts
291 → 401
Calls
Call 1
Inputs
(if (!=.f64 (sqrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 8) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 8)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (pow.f64 2 1/8) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (pow.f64 8 1/8) 0) (/.f64 (pow.f64 2 1/8) (/.f64 1 (pow.f64 8 1/8))) (sqrt.f64 2))
(if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 32))) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 4) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 (sqrt.f64 32)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 -2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 8 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 -2 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (neg.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 512))))) -2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 4) 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 (+.f64 2/3 1/8))) (cbrt.f64 4)) (sqrt.f64 2))
(if (!=.f64 8 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 (+.f64 3 1/8))) 8) (sqrt.f64 2))
(if (!=.f64 2 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 (sqrt.f64 (sqrt.f64 512)))) 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 2) 0) (*.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 (sqrt.f64 (sqrt.f64 32)))) (sqrt.f64 2)) (sqrt.f64 2))
(if (!=.f64 0 0) (/.f64 0 0) (sqrt.f64 2))
(if (!=.f64 1/2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 1/2) 0) (sqrt.f64 2) (sqrt.f64 2))
(+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))
(+.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 1/8))) (*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 1/8))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 2 64)) 4) (*.f64 (sqrt.f64 (/.f64 2 64)) 4))
(+.f64 (*.f64 (sqrt.f64 8) 1/4) (*.f64 (sqrt.f64 8) 1/4))
(+.f64 (sqrt.f64 2) 0)
(+.f64 0 (sqrt.f64 2))
(+.f64 (*.f64 4 (sqrt.f64 (/.f64 2 64))) (*.f64 4 (sqrt.f64 (/.f64 2 64))))
(+.f64 (*.f64 1/4 (sqrt.f64 8)) (*.f64 1/4 (sqrt.f64 8)))
(+.f64 (sqrt.f64 2) (*.f64 0 (sqrt.f64 8)))
(+.f64 (*.f64 0 (sqrt.f64 8)) (sqrt.f64 2))
(-.f64 (sqrt.f64 (/.f64 9 2)) (sqrt.f64 1/2))
(-.f64 (sqrt.f64 2) 0)
(-.f64 0 (neg.f64 (sqrt.f64 2)))
(-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 3 (neg.f64 (sqrt.f64 2))))
(-.f64 (sqrt.f64 1/2) (neg.f64 (sqrt.f64 1/2)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) -1) (*.f64 (sqrt.f64 (sqrt.f64 2)) -1))
(*.f64 (fabs.f64 (pow.f64 2 (+.f64 1/12 1/2))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))))
(*.f64 (fabs.f64 (pow.f64 2 (neg.f64 3/4))) (sqrt.f64 (sqrt.f64 32)))
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 2 64))) 8)
(*.f64 8 (pow.f64 (*.f64 1/2 (cbrt.f64 (sqrt.f64 2))) 3))
(*.f64 (pow.f64 (pow.f64 1/2 5/6) 3) 8)
(*.f64 (pow.f64 2 1/12) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 32)) (/.f64 1 -4))
(*.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 (neg.f64 1/8)))
(*.f64 (sqrt.f64 512) (/.f64 1 16))
(*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8)) (/.f64 1 (cbrt.f64 32)))
(*.f64 (sqrt.f64 32) 1/4)
(*.f64 (pow.f64 2 (-.f64 1 1/8)) (/.f64 1 (pow.f64 8 1/8)))
(*.f64 (cbrt.f64 16) (pow.f64 1/2 5/6))
(*.f64 (neg.f64 (sqrt.f64 8)) -1/2)
(*.f64 (pow.f64 2 (-.f64 1 1/12)) (pow.f64 2 (-.f64 -1/6 1/4)))
(*.f64 4 (sqrt.f64 1/8))
(*.f64 1 (sqrt.f64 2))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 2 1/12))) (fabs.f64 (cbrt.f64 (pow.f64 2 (+.f64 1/6 5/4)))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 32))) (fabs.f64 (cbrt.f64 1/2)))
(*.f64 (fabs.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 2))))
(*.f64 (fabs.f64 (cbrt.f64 4)) (fabs.f64 (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 2 1/8)) (fabs.f64 (*.f64 (pow.f64 2 1/12) (pow.f64 8 1/8))))
(*.f64 (cbrt.f64 (pow.f64 2 1/8)) (fabs.f64 (cbrt.f64 (pow.f64 2 (+.f64 5/4 1/8)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 2))) (fabs.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (sqrt.f64 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 32)))) (fabs.f64 (cbrt.f64 (cbrt.f64 4))))
(*.f64 (sqrt.f64 (pow.f64 2 1/8)) (fabs.f64 (sqrt.f64 (pow.f64 2 (+.f64 3/4 1/8)))))
(*.f64 (fabs.f64 (sqrt.f64 (pow.f64 2 (+.f64 3/4 1/8)))) (sqrt.f64 (pow.f64 2 1/8)))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 1/2))) (fabs.f64 (cbrt.f64 4)))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 1/2))) (fabs.f64 (pow.f64 2 (-.f64 3/2 5/6))))
(*.f64 (fabs.f64 (cbrt.f64 1/2)) (fabs.f64 (cbrt.f64 (sqrt.f64 32))))
(*.f64 (fabs.f64 (neg.f64 (sqrt.f64 1/2))) 2)
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 16))))
(*.f64 (fabs.f64 (cbrt.f64 1/4)) (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64)))))
(*.f64 (sqrt.f64 1/8) 4)
(*.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 16)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 8)))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 32))) (pow.f64 2 1/12))
(*.f64 (pow.f64 2 (+.f64 1/12 1/2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 1/4) (cbrt.f64 (sqrt.f64 (*.f64 2 64))))
(*.f64 (pow.f64 2 (neg.f64 3/4)) (sqrt.f64 (sqrt.f64 32)))
(*.f64 (pow.f64 2 1/8) (pow.f64 8 1/8))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 8 1/8) (pow.f64 2 1/8))
(*.f64 (sqrt.f64 (pow.f64 2 (+.f64 3/4 1/8))) (sqrt.f64 (pow.f64 2 1/8)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 4) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 2 1/8)) (*.f64 (pow.f64 2 1/12) (pow.f64 8 1/8)))
(*.f64 (sqrt.f64 (pow.f64 2 1/8)) (sqrt.f64 (pow.f64 2 (+.f64 3/4 1/8))))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 4))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 2 1/8)) (cbrt.f64 (pow.f64 2 (+.f64 5/4 1/8))))
(*.f64 (cbrt.f64 (pow.f64 2 1/12)) (cbrt.f64 (pow.f64 2 (+.f64 1/6 5/4))))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (pow.f64 2 (-.f64 3/2 5/6)))
(*.f64 (cbrt.f64 (sqrt.f64 32)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 32)))
(*.f64 2 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 8) 1/2)
(*.f64 1/2 (sqrt.f64 8))
(*.f64 (sqrt.f64 1/2) 2)
(*.f64 (sqrt.f64 (/.f64 2 64)) 8)
(*.f64 (neg.f64 (sqrt.f64 1/2)) -2)
(*.f64 (*.f64 (pow.f64 2 1/12) (pow.f64 8 1/8)) (cbrt.f64 (pow.f64 2 1/8)))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 2 (+.f64 1/12 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 (sqrt.f64 32))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (pow.f64 2 (-.f64 3/2 5/6)) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 32)) (pow.f64 2 (neg.f64 3/4)))
(*.f64 8 (sqrt.f64 (/.f64 2 64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64))) (cbrt.f64 1/4))
(*.f64 (cbrt.f64 (pow.f64 2 (+.f64 5/4 1/8))) (cbrt.f64 (pow.f64 2 1/8)))
(*.f64 -2 (neg.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (pow.f64 2 (+.f64 1/6 5/4))) (cbrt.f64 (pow.f64 2 1/12)))
(*.f64 (neg.f64 (sqrt.f64 2)) -1)
(*.f64 (sqrt.f64 (*.f64 2 64)) 1/8)
(*.f64 (/.f64 2 (/.f64 2 (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (/.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 2) (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (/.f64 (cbrt.f64 4) (/.f64 (cbrt.f64 4) (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (/.f64 (sqrt.f64 1/2) 16) 32)
(*.f64 (/.f64 (sqrt.f64 2) 512) 512)
(*.f64 (/.f64 (sqrt.f64 8) (sqrt.f64 (sqrt.f64 32))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 2 (neg.f64 3/4))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 32)))) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (sqrt.f64 32)) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (pow.f64 8 1/8) (pow.f64 2 (neg.f64 1/8)))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64))) (cbrt.f64 4))
(/.f64 (cbrt.f64 (sqrt.f64 32)) (cbrt.f64 2))
(/.f64 (cbrt.f64 4) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 1/8))
(/.f64 (pow.f64 2 (-.f64 1 1/8)) (pow.f64 8 1/8))
(/.f64 (cbrt.f64 16) (cbrt.f64 (sqrt.f64 32)))
(/.f64 (sqrt.f64 512) 16)
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8)) (cbrt.f64 32))
(/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1/2))
(/.f64 2 (sqrt.f64 2))
(/.f64 (sqrt.f64 8) 2)
(/.f64 (neg.f64 (sqrt.f64 8)) -2)
(/.f64 (sqrt.f64 (*.f64 2 64)) 8)
(/.f64 4 (sqrt.f64 8))
(/.f64 (neg.f64 (sqrt.f64 32)) -4)
(/.f64 (sqrt.f64 32) 4)
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 1/2) 1/2)
(/.f64 (sqrt.f64 2) 1)
(/.f64 1 (sqrt.f64 1/2))
(/.f64 16 (sqrt.f64 (*.f64 2 64)))
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (pow.f64 8 1/8))) (pow.f64 2 1/8))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 16))) (cbrt.f64 (cbrt.f64 16)))
(/.f64 (*.f64 (sqrt.f64 2) 512) 512)
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 16 2/3)) (pow.f64 16 2/3))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 32)) (cbrt.f64 32))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 -4)) (cbrt.f64 -4))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 8)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 8 1/8)) (sqrt.f64 2)) (pow.f64 2 1/8))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 16)) (sqrt.f64 2)) (cbrt.f64 (cbrt.f64 16)))
(/.f64 (*.f64 512 (sqrt.f64 2)) 512)
(/.f64 (*.f64 (pow.f64 16 2/3) (sqrt.f64 2)) (pow.f64 16 2/3))
(/.f64 (*.f64 (cbrt.f64 32) (sqrt.f64 2)) (cbrt.f64 32))
(/.f64 (*.f64 (cbrt.f64 -4) (sqrt.f64 2)) (cbrt.f64 -4))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 2)) (sqrt.f64 (pow.f64 2 (neg.f64 3/4))))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (sqrt.f64 2))) (pow.f64 2 (+.f64 -1/6 1/8)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 (pow.f64 2 1/8))) (sqrt.f64 (pow.f64 2 1/8)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 2)) (pow.f64 2 (+.f64 -1/3 1/8)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 1/12)) (cbrt.f64 (pow.f64 2 1/8)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) 2) (pow.f64 2 (+.f64 -1 1/8)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 2 (+.f64 1/6 1/8)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 32)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) 1) (pow.f64 2 1/8))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 1/2)) (pow.f64 2 (+.f64 1/3 1/8)))
(/.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/4))
(/.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 2))
(/.f64 (fabs.f64 (cbrt.f64 16)) (fabs.f64 (cbrt.f64 (sqrt.f64 32))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 2 64))) 8)
(/.f64 (fabs.f64 (sqrt.f64 32)) 4)
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 2))) 1)
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 8))) 2)
(/.f64 (fabs.f64 (/.f64 2 (pow.f64 8 1/8))) (pow.f64 2 1/8))
(/.f64 (fabs.f64 (pow.f64 2 (-.f64 1 1/8))) (pow.f64 8 1/8))
(/.f64 (fabs.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (fabs.f64 (cbrt.f64 32)))
(/.f64 (fabs.f64 (cbrt.f64 4)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 2) (fabs.f64 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 32))) (fabs.f64 -4))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (fabs.f64 (cbrt.f64 1/2)))
(/.f64 (sqrt.f64 512) (fabs.f64 16))
(/.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64)))) (fabs.f64 (cbrt.f64 4)))
(/.f64 2 (fabs.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 2)) 3) -2)
(/.f64 (pow.f64 (*.f64 -2 (cbrt.f64 (sqrt.f64 2))) 3) -8)
(/.f64 (pow.f64 (/.f64 (cbrt.f64 4) (pow.f64 8 1/8)) 3) (pow.f64 8 1/8))
(/.f64 (pow.f64 (cbrt.f64 -4) 3) (pow.f64 (neg.f64 (sqrt.f64 2)) 3))
(/.f64 (pow.f64 (pow.f64 2 (+.f64 1/12 1/2)) 3) (sqrt.f64 (sqrt.f64 32)))
(/.f64 (pow.f64 (pow.f64 2 (-.f64 2/3 1/8)) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 512))))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 2))) 3) (cbrt.f64 4))
(/.f64 (pow.f64 (*.f64 8 (cbrt.f64 (sqrt.f64 2))) 3) 512)
(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64))) 3) 8)
(/.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))
(/.f64 (neg.f64 (pow.f64 8 1/8)) (neg.f64 (pow.f64 2 (neg.f64 1/8))))
(/.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (/.f64 2 (pow.f64 8 1/8))) (neg.f64 (pow.f64 2 1/8)))
(/.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (sqrt.f64 512)) -16)
(/.f64 (neg.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (neg.f64 (cbrt.f64 32)))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 32))) (neg.f64 (sqrt.f64 (sqrt.f64 8))))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 8))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -1/2))
(/.f64 (*.f64 -2 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -4))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 64))) -8)
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 -2))
(/.f64 (neg.f64 (sqrt.f64 1/2)) -1/2)
(/.f64 (neg.f64 (pow.f64 2 (-.f64 1 1/8))) (neg.f64 (pow.f64 8 1/8)))
(/.f64 (neg.f64 (cbrt.f64 16)) (neg.f64 (cbrt.f64 (sqrt.f64 32))))
(/.f64 (neg.f64 (pow.f64 2 (-.f64 1 1/12))) (neg.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 32)))))
(/.f64 -4 (neg.f64 (sqrt.f64 8)))
(/.f64 (cbrt.f64 -4) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 32))) (cbrt.f64 -2))
(/.f64 (neg.f64 (pow.f64 2 1/12)) (neg.f64 (pow.f64 2 (-.f64 -1/6 1/4))))
(/.f64 (pow.f64 2 (-.f64 1 1/12)) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 (pow.f64 2 1/12) (pow.f64 2 (-.f64 -1/6 1/4)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (pow.f64 2 1/8))) (pow.f64 2 1/12))
(/.f64 (pow.f64 2 1/12) (/.f64 (pow.f64 2 (-.f64 -1/6 1/4)) 1))
(/.f64 (fabs.f64 (pow.f64 2 (-.f64 1 1/12))) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 (sqrt.f64 8) 1/3)
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(pow.f64 4 1/4)
(pow.f64 8 1/6)
(pow.f64 (pow.f64 2 1/8) 4)
(pow.f64 (sqrt.f64 (sqrt.f64 8)) 2/3)
(pow.f64 8 (*.f64 2 1/12))
(pow.f64 (exp.f64 1/2) (log.f64 2))
(pow.f64 (exp.f64 (*.f64 (log.f64 2) (cbrt.f64 1/2))) (cbrt.f64 1/4))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 2) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 2) 1/2)) 2))
(pow.f64 (exp.f64 (*.f64 (log.f64 2) (sqrt.f64 1/2))) (sqrt.f64 1/2))
(pow.f64 (exp.f64 1) (*.f64 (log.f64 2) 1/2))
(pow.f64 (sqrt.f64 1/2) -1)
(pow.f64 (cbrt.f64 2) 3/2)
(pow.f64 64 (/.f64 1/6 2))
(pow.f64 16 1/8)
(pow.f64 8 (+.f64 -1/3 1/2))
(pow.f64 2 (+.f64 2/3 -1/6))
(pow.f64 2 (+.f64 -1/6 2/3))
(pow.f64 2 (+.f64 -1/3 5/6))
(pow.f64 2 (+.f64 5/6 -1/3))
(pow.f64 2 (+.f64 -1 3/2))
(pow.f64 64 1/12)
(pow.f64 512 (*.f64 1/3 1/6))
(pow.f64 8 (*.f64 2/3 1/4))
(pow.f64 8 (*.f64 1/6 1))
(pow.f64 8 (*.f64 1/12 2))
(pow.f64 2 (*.f64 1/8 4))
(pow.f64 2 (*.f64 1/6 3))
(pow.f64 1/2 -1/2)
(pow.f64 8 (-.f64 2/3 1/2))
(pow.f64 2 (-.f64 5/4 3/4))
(pow.f64 2 (-.f64 1/6 -1/3))
(pow.f64 2 (-.f64 2/3 1/6))
(hypot.f64 -1 -1)
(hypot.f64 1 -1)
(hypot.f64 -1 1)
(hypot.f64 1 1)
(neg.f64 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(cbrt.f64 (sqrt.f64 8))
(fabs.f64 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 2) 1/2) 1/2) (*.f64 (log.f64 2) 1/4)))
(exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 2) 1/2) 2/3) (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))
(exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 2) 1/2) 2/3) (*.f64 (log.f64 2) 1/4)))
(exp.f64 (-.f64 (/.f64 (log.f64 2) -2) (log.f64 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 2) 1/4) 2))
(exp.f64 (*.f64 (log.f64 4) 1/4))
(exp.f64 (*.f64 (log.f64 8) 1/6))
Outputs
(if (!=.f64 (sqrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 8) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 8)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))
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(cbrt.f64 (/.f64 (sqrt.f64 32) 2))
(/.f64 (cbrt.f64 4) (cbrt.f64 (sqrt.f64 2)))
(cbrt.f64 (/.f64 4 (sqrt.f64 2)))
(/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 1/8))
(/.f64 2 (pow.f64 (*.f64 2 8) 1/8))
(/.f64 (pow.f64 2 (-.f64 1 1/8)) (pow.f64 8 1/8))
(*.f64 (pow.f64 2 7/8) (pow.f64 8 -1/8))
(/.f64 (cbrt.f64 16) (cbrt.f64 (sqrt.f64 32)))
(cbrt.f64 (/.f64 16 (sqrt.f64 32)))
(/.f64 (sqrt.f64 512) 16)
(*.f64 (sqrt.f64 512) 1/16)
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8)) (cbrt.f64 32))
(/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2)))
(cbrt.f64 (/.f64 2 (sqrt.f64 1/2)))
(/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 1/2))
(cbrt.f64 (/.f64 (sqrt.f64 2) 1/2))
(/.f64 2 (sqrt.f64 2))
(/.f64 (sqrt.f64 8) 2)
(/.f64 (neg.f64 (sqrt.f64 8)) -2)
(neg.f64 (/.f64 (sqrt.f64 8) -2))
(/.f64 (sqrt.f64 (*.f64 2 64)) 8)
(/.f64 (sqrt.f64 128) 8)
(/.f64 4 (sqrt.f64 8))
(/.f64 (neg.f64 (sqrt.f64 32)) -4)
(neg.f64 (*.f64 (sqrt.f64 32) -1/4))
(/.f64 (sqrt.f64 32) 4)
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(/.f64 (sqrt.f64 2) (neg.f64 -1))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 -2) (sqrt.f64 2))
(/.f64 (sqrt.f64 1/2) 1/2)
(/.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(/.f64 1 (sqrt.f64 1/2))
(/.f64 16 (sqrt.f64 (*.f64 2 64)))
(/.f64 16 (sqrt.f64 128))
(/.f64 (*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 2) (pow.f64 8 1/8))) (pow.f64 2 1/8))
(/.f64 2 (pow.f64 (*.f64 2 8) 1/8))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 16))) (cbrt.f64 (cbrt.f64 16)))
(/.f64 (*.f64 (sqrt.f64 2) 512) 512)
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 16 2/3)) (pow.f64 16 2/3))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 32)) (cbrt.f64 32))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 -4)) (cbrt.f64 -4))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 8)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 8 1/8)) (sqrt.f64 2)) (pow.f64 2 1/8))
(/.f64 2 (pow.f64 (*.f64 2 8) 1/8))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 16)) (sqrt.f64 2)) (cbrt.f64 (cbrt.f64 16)))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 16))) (cbrt.f64 (cbrt.f64 16)))
(/.f64 (*.f64 512 (sqrt.f64 2)) 512)
(/.f64 (*.f64 (sqrt.f64 2) 512) 512)
(/.f64 (*.f64 (pow.f64 16 2/3) (sqrt.f64 2)) (pow.f64 16 2/3))
(/.f64 (*.f64 (sqrt.f64 2) (pow.f64 16 2/3)) (pow.f64 16 2/3))
(/.f64 (*.f64 (cbrt.f64 32) (sqrt.f64 2)) (cbrt.f64 32))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 32)) (cbrt.f64 32))
(/.f64 (*.f64 (cbrt.f64 -4) (sqrt.f64 2)) (cbrt.f64 -4))
(/.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 -4)) (cbrt.f64 -4))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 2)) (sqrt.f64 (pow.f64 2 (neg.f64 3/4))))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (sqrt.f64 (pow.f64 2 -3/4)) (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (sqrt.f64 2))) (pow.f64 2 (+.f64 -1/6 1/8)))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (pow.f64 2 -1/24) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 (pow.f64 2 1/8))) (sqrt.f64 (pow.f64 2 1/8)))
(/.f64 2 (pow.f64 (*.f64 2 8) 1/8))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 2)) (pow.f64 2 (+.f64 -1/3 1/8)))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (pow.f64 2 -5/24) (cbrt.f64 2)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (pow.f64 2 1/12)) (cbrt.f64 (pow.f64 2 1/8)))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (cbrt.f64 (pow.f64 2 1/8)) (pow.f64 2 1/12)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) 2) (pow.f64 2 (+.f64 -1 1/8)))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (pow.f64 2 -7/8) 2))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (sqrt.f64 1/2))) (pow.f64 2 (+.f64 1/6 1/8)))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (pow.f64 2 7/24) (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 32)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 32)))))))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) 1) (pow.f64 2 1/8))
(/.f64 2 (pow.f64 (*.f64 2 8) 1/8))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 32))) (sqrt.f64 1/2)))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 1/2)) (pow.f64 2 (+.f64 1/3 1/8)))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (pow.f64 2 11/24) (cbrt.f64 1/2)))
(/.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/4))
(cbrt.f64 (/.f64 (sqrt.f64 1/2) 1/4))
(/.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 2))
(/.f64 (fabs.f64 (cbrt.f64 16)) (fabs.f64 (cbrt.f64 (sqrt.f64 32))))
(/.f64 (fabs.f64 (sqrt.f64 (*.f64 2 64))) 8)
(/.f64 (fabs.f64 (sqrt.f64 128)) 8)
(/.f64 (fabs.f64 (sqrt.f64 32)) 4)
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 2))) 1)
(fabs.f64 (sqrt.f64 2))
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 8))) 2)
(/.f64 (fabs.f64 (sqrt.f64 8)) 2)
(/.f64 (fabs.f64 (/.f64 2 (pow.f64 8 1/8))) (pow.f64 2 1/8))
(*.f64 (fabs.f64 (*.f64 2 (pow.f64 8 -1/8))) (pow.f64 2 -1/8))
(/.f64 (fabs.f64 (pow.f64 2 (-.f64 1 1/8))) (pow.f64 8 1/8))
(*.f64 (fabs.f64 (pow.f64 2 7/8)) (pow.f64 8 -1/8))
(/.f64 (fabs.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (fabs.f64 (cbrt.f64 32)))
(/.f64 (fabs.f64 (cbrt.f64 4)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cbrt.f64 2) (fabs.f64 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (fabs.f64 (neg.f64 (sqrt.f64 32))) (fabs.f64 -4))
(/.f64 (fabs.f64 (sqrt.f64 32)) 4)
(/.f64 (cbrt.f64 (sqrt.f64 2)) (fabs.f64 (cbrt.f64 1/2)))
(/.f64 (sqrt.f64 512) (fabs.f64 16))
(*.f64 (sqrt.f64 512) 1/16)
(/.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64)))) (fabs.f64 (cbrt.f64 4)))
(/.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 128))) (fabs.f64 (cbrt.f64 4)))
(/.f64 2 (fabs.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 2 (fabs.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 2)) 3) -2)
(/.f64 (neg.f64 (pow.f64 (sqrt.f64 2) 3)) -2)
(/.f64 (pow.f64 (*.f64 -2 (cbrt.f64 (sqrt.f64 2))) 3) -8)
(/.f64 (*.f64 (pow.f64 -2 3) (sqrt.f64 2)) -8)
(/.f64 (pow.f64 (/.f64 (cbrt.f64 4) (pow.f64 8 1/8)) 3) (pow.f64 8 1/8))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 4) (pow.f64 8 -1/8)) 3) (pow.f64 8 -1/8))
(/.f64 (pow.f64 (cbrt.f64 -4) 3) (pow.f64 (neg.f64 (sqrt.f64 2)) 3))
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
(/.f64 (pow.f64 (pow.f64 2 (+.f64 1/12 1/2)) 3) (sqrt.f64 (sqrt.f64 32)))
(/.f64 (pow.f64 (pow.f64 2 7/12) 3) (sqrt.f64 (sqrt.f64 32)))
(/.f64 (pow.f64 (pow.f64 2 (-.f64 2/3 1/8)) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 512))))
(/.f64 (pow.f64 (pow.f64 2 13/24) 3) (sqrt.f64 (sqrt.f64 (sqrt.f64 512))))
(/.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cbrt.f64 2))) 3) (cbrt.f64 4))
(/.f64 (pow.f64 (*.f64 8 (cbrt.f64 (sqrt.f64 2))) 3) 512)
(/.f64 (*.f64 (pow.f64 8 3) (sqrt.f64 2)) 512)
(/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 64))) 3) 8)
(/.f64 (sqrt.f64 128) 8)
(/.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))
(*.f64 (sqrt.f64 512) 1/16)
(/.f64 (neg.f64 (pow.f64 8 1/8)) (neg.f64 (pow.f64 2 (neg.f64 1/8))))
(/.f64 (pow.f64 8 1/8) (pow.f64 2 -1/8))
(/.f64 -1 (neg.f64 (sqrt.f64 1/2)))
(/.f64 (neg.f64 (/.f64 2 (pow.f64 8 1/8))) (neg.f64 (pow.f64 2 1/8)))
(/.f64 2 (pow.f64 (*.f64 2 8) 1/8))
(/.f64 (cbrt.f64 -2) (neg.f64 (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (sqrt.f64 512)) -16)
(neg.f64 (/.f64 (sqrt.f64 512) -16))
(/.f64 (neg.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (neg.f64 (cbrt.f64 32)))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8)) (cbrt.f64 32))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 32))) (neg.f64 (sqrt.f64 (sqrt.f64 8))))
(/.f64 (sqrt.f64 (sqrt.f64 32)) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 8))) (neg.f64 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -1/2))
(neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 -1/2)))
(/.f64 (*.f64 -2 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 -4))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 64))) -8)
(neg.f64 (/.f64 (sqrt.f64 128) -8))
(/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 32))) (cbrt.f64 -2))
(neg.f64 (/.f64 (cbrt.f64 (sqrt.f64 32)) (cbrt.f64 -2)))
(/.f64 (neg.f64 (sqrt.f64 1/2)) -1/2)
(neg.f64 (/.f64 (sqrt.f64 1/2) -1/2))
(/.f64 (neg.f64 (pow.f64 2 (-.f64 1 1/8))) (neg.f64 (pow.f64 8 1/8)))
(*.f64 (pow.f64 2 7/8) (pow.f64 8 -1/8))
(/.f64 (neg.f64 (cbrt.f64 16)) (neg.f64 (cbrt.f64 (sqrt.f64 32))))
(cbrt.f64 (/.f64 16 (sqrt.f64 32)))
(/.f64 (neg.f64 (pow.f64 2 (-.f64 1 1/12))) (neg.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 32)))))
(/.f64 (pow.f64 2 11/12) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 -4 (neg.f64 (sqrt.f64 8)))
(/.f64 (cbrt.f64 -4) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (sqrt.f64 (sqrt.f64 2))) (neg.f64 (sqrt.f64 (sqrt.f64 1/2))))
(/.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 1/2)))
(/.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8))) (cbrt.f64 (cbrt.f64 4)))
(cbrt.f64 (/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 8)) (cbrt.f64 4)))
(/.f64 (cbrt.f64 (neg.f64 (sqrt.f64 32))) (cbrt.f64 -2))
(cbrt.f64 (/.f64 (neg.f64 (sqrt.f64 32)) -2))
(/.f64 (neg.f64 (pow.f64 2 1/12)) (neg.f64 (pow.f64 2 (-.f64 -1/6 1/4))))
(pow.f64 2 (-.f64 1/12 -5/12))
(/.f64 (pow.f64 2 (-.f64 1 1/12)) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 (pow.f64 2 11/12) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 (pow.f64 2 1/12) (pow.f64 2 (-.f64 -1/6 1/4)))
(pow.f64 2 (-.f64 1/12 -5/12))
(/.f64 (/.f64 (/.f64 2 (pow.f64 8 1/8)) (cbrt.f64 (pow.f64 2 1/8))) (pow.f64 2 1/12))
(/.f64 (*.f64 2 (pow.f64 8 -1/8)) (*.f64 (pow.f64 2 1/12) (cbrt.f64 (pow.f64 2 1/8))))
(/.f64 (pow.f64 2 1/12) (/.f64 (pow.f64 2 (-.f64 -1/6 1/4)) 1))
(pow.f64 2 (-.f64 1/12 -5/12))
(/.f64 (fabs.f64 (pow.f64 2 (-.f64 1 1/12))) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(/.f64 (fabs.f64 (pow.f64 2 11/12)) (cbrt.f64 (sqrt.f64 (sqrt.f64 32))))
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 8) 1/3)
(cbrt.f64 (sqrt.f64 8))
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(sqrt.f64 2)
(pow.f64 4 1/4)
(pow.f64 8 1/6)
(pow.f64 (pow.f64 2 1/8) 4)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 8)) 2/3)
(pow.f64 8 (*.f64 2 1/12))
(pow.f64 8 1/6)
(pow.f64 (exp.f64 1/2) (log.f64 2))
(sqrt.f64 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 2) (cbrt.f64 1/2))) (cbrt.f64 1/4))
(pow.f64 (pow.f64 2 (cbrt.f64 1/2)) (cbrt.f64 1/4))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 2) 1/2))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 2) 1/2)) 2))
(pow.f64 (exp.f64 (*.f64 (log.f64 2) (sqrt.f64 1/2))) (sqrt.f64 1/2))
(pow.f64 (pow.f64 2 (sqrt.f64 1/2)) (sqrt.f64 1/2))
(pow.f64 (exp.f64 1) (*.f64 (log.f64 2) 1/2))
(pow.f64 (E.f64) (*.f64 (log.f64 2) 1/2))
(pow.f64 (sqrt.f64 1/2) -1)
(/.f64 1 (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 2) 3/2)
(pow.f64 64 (/.f64 1/6 2))
(pow.f64 64 1/12)
(pow.f64 16 1/8)
(pow.f64 8 (+.f64 -1/3 1/2))
(pow.f64 8 1/6)
(pow.f64 2 (+.f64 2/3 -1/6))
(sqrt.f64 2)
(pow.f64 2 (+.f64 -1/6 2/3))
(sqrt.f64 2)
(pow.f64 2 (+.f64 -1/3 5/6))
(sqrt.f64 2)
(pow.f64 2 (+.f64 5/6 -1/3))
(sqrt.f64 2)
(pow.f64 2 (+.f64 -1 3/2))
(sqrt.f64 2)
(pow.f64 64 1/12)
(pow.f64 512 (*.f64 1/3 1/6))
(pow.f64 512 1/18)
(pow.f64 8 (*.f64 2/3 1/4))
(pow.f64 8 1/6)
(pow.f64 8 (*.f64 1/6 1))
(pow.f64 8 1/6)
(pow.f64 8 (*.f64 1/12 2))
(pow.f64 8 1/6)
(pow.f64 2 (*.f64 1/8 4))
(sqrt.f64 2)
(pow.f64 2 (*.f64 1/6 3))
(sqrt.f64 2)
(pow.f64 1/2 -1/2)
(pow.f64 8 (-.f64 2/3 1/2))
(pow.f64 8 1/6)
(pow.f64 2 (-.f64 5/4 3/4))
(sqrt.f64 2)
(pow.f64 2 (-.f64 1/6 -1/3))
(sqrt.f64 2)
(pow.f64 2 (-.f64 2/3 1/6))
(sqrt.f64 2)
(hypot.f64 -1 -1)
(hypot.f64 1 -1)
(hypot.f64 -1 1)
(hypot.f64 1 1)
(neg.f64 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(sqrt.f64 2)
(cbrt.f64 (sqrt.f64 8))
(fabs.f64 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(sqrt.f64 2)
(exp.f64 (+.f64 (*.f64 (log.f64 2) 1/4) (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))
(exp.f64 (fma.f64 (log.f64 2) 1/4 (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))
(exp.f64 (+.f64 (*.f64 (*.f64 (log.f64 2) 1/2) 1/2) (*.f64 (log.f64 2) 1/4)))
(exp.f64 (fma.f64 (log.f64 2) 1/4 (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))
(exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 2) 1/2) 2/3) (*.f64 (*.f64 (log.f64 2) 1/2) 1/2)))
(exp.f64 (-.f64 (/.f64 (*.f64 (log.f64 2) 1/2) 2/3) (*.f64 (log.f64 2) 1/4)))
(exp.f64 (-.f64 (/.f64 (log.f64 2) -2) (log.f64 1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 2) 1/4) 2))
(exp.f64 (*.f64 (log.f64 4) 1/4))
(pow.f64 4 1/4)
(exp.f64 (*.f64 (log.f64 8) 1/6))
(pow.f64 8 1/6)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (sqrt.f64 1/2) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (sqrt.f64 1/2) x)
1.0ms
x
@inf
(*.f64 (sqrt.f64 1/2) x)
1.0ms
x
@-inf
(*.f64 (sqrt.f64 1/2) x)
Compiler

Compiled 10 to 10 computations (0% saved)

rewrite119.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
113×egg-rr
Counts
1 → 113
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) x)
Outputs
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egg-rr> (2) ((x /.f64 x (/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)))))))

simplify456.0ms (3.3%)

Algorithm
egglog
Counts
113 → 128
Calls
Call 1
Inputs
(fma.f64 (*.f64 (sqrt.f64 1/2) x) 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(if (!=.f64 (-.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))) (-.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3) (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/8) x) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3) (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/2) x) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/2) x) -1)) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 1 0) (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 x)) (*.f64 (sqrt.f64 1/2) (*.f64 1/2 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/4) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/4))
(+.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 1/2)) (*.f64 (*.f64 x 1/2) (sqrt.f64 1/2)))
(+.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 1/2)) (*.f64 (*.f64 1/2 x) (sqrt.f64 1/2)))
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 1) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 1))
(+.f64 (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2)) (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2)))
(+.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) 1) (*.f64 (*.f64 (sqrt.f64 1/8) x) 1))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2) (*.f64 (sqrt.f64 1/2) x))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/8) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/8) (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2) (*.f64 (sqrt.f64 1/2) x))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)) (cbrt.f64 x))
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(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)) (pow.f64 1/2 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))))
(*.f64 (pow.f64 1/2 1/8) (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) x)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2)) (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) x)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (pow.f64 1/2 5/6)))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/2) (cbrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (cbrt.f64 1/2) x)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x))
(*.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 1/2) (*.f64 x (cbrt.f64 (sqrt.f64 1/2))))
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(*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2))
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(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/2)))
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(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 2 (*.f64 (sqrt.f64 1/8) x))
(*.f64 1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(*.f64 (*.f64 (sqrt.f64 1/8) x) 2)
(*.f64 2 (*.f64 (cbrt.f64 1/16) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(*.f64 8 (pow.f64 (*.f64 1/2 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))) 3))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/2) (*.f64 (sqrt.f64 1/2) x)))
(/.f64 x (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) -1) (cbrt.f64 -2))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (/.f64 2 1/8)))
(/.f64 (*.f64 x -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))
(/.f64 (*.f64 2 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 2 1/8)))
(/.f64 (*.f64 -1 x) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) x)) -1)
(/.f64 x (/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2))))
(/.f64 (neg.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 x x) (sqrt.f64 8))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 2)
(/.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(neg.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))
(neg.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) -1))
(neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)))
Outputs
(fma.f64 (*.f64 (sqrt.f64 1/2) x) 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(*.f64 (sqrt.f64 1/2) x)
(if (!=.f64 (-.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))) (-.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 0 0) 0 (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 0 0) 0 (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3) (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 1/8 (*.f64 x x)) 0) (/.f64 (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/4) (*.f64 1/8 (*.f64 x x))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 1/8 (*.f64 x x)) 0) (/.f64 (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/4) (*.f64 1/8 (*.f64 x x))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/8) x) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3) (pow.f64 (*.f64 (sqrt.f64 1/8) x) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x)) (*.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/8) x) 0) (/.f64 (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/4) (*.f64 1/8 (*.f64 x x))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3) (pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/8) x) 0) (/.f64 (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/4) (*.f64 1/8 (*.f64 x x))) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/2) x) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/2) x) -1)) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 (*.f64 (sqrt.f64 1/2) x) 0) (pow.f64 (/.f64 (sqrt.f64 2) x) -1) (*.f64 (sqrt.f64 1/2) x))
(if (!=.f64 1 0) (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 x 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 1/2 x)) (*.f64 (sqrt.f64 1/2) (*.f64 1/2 x)))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/4) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/4))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (*.f64 x 1/2) (sqrt.f64 1/2)) (*.f64 (*.f64 x 1/2) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 1/2)) (*.f64 (*.f64 1/2 x) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 1) (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2) 1))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2)) (*.f64 1/4 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2)))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (sqrt.f64 1/8) x) (*.f64 (sqrt.f64 1/8) x))
(*.f64 (sqrt.f64 1/2) x)
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) 1) (*.f64 (*.f64 (sqrt.f64 1/8) x) 1))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2) (*.f64 (sqrt.f64 1/2) x))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/8) (*.f64 x x)))))
(cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/8)) (*.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (sqrt.f64 1/8) (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/8)) (*.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2) (*.f64 (sqrt.f64 1/2) x))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 x 3)) 2) (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))) (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)) (*.f64 (*.f64 x x) 1/2))))
(cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/8)) (*.f64 x x))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))) (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) (cbrt.f64 (*.f64 (*.f64 x x) 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (cbrt.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 2) (*.f64 (*.f64 (sqrt.f64 1/8) x) (cbrt.f64 (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)) (pow.f64 1/2 1/8))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 1/2 1/8) (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (pow.f64 1/2 1/8)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) 2) (*.f64 (cbrt.f64 1/2) x))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 (sqrt.f64 1/2) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x)) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) 2) (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) (cbrt.f64 (*.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 2) (*.f64 (*.f64 (sqrt.f64 1/8) x) (cbrt.f64 (*.f64 x x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) 2)) (cbrt.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/2)) x) (sqrt.f64 2))))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (*.f64 (sqrt.f64 1/2) x))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) x)) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) 2) (*.f64 (cbrt.f64 1/2) x))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (pow.f64 1/2 5/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 1/4 5/12)) x) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (pow.f64 1/2 5/6)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 1/4 5/12)) x) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/2) (cbrt.f64 2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x x) 1/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x x)) 1/2) (*.f64 (sqrt.f64 1/2) (cbrt.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (sqrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 x 3)) 2) (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (cbrt.f64 1/2) x)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (*.f64 x x) 1/2))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 x 3)) 2) (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 (sqrt.f64 1/2) (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 (*.f64 x x))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/8) x) x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (sqrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (pow.f64 x 3)) 2) (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (cbrt.f64 x))) (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (cbrt.f64 x) (*.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 1/8)) (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 x x) 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 x (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 1/2) x))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 1/2) (*.f64 x (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 1/2)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 1/16))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/4))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (cbrt.f64 1/4)) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 x (cbrt.f64 (sqrt.f64 1/2))))) (cbrt.f64 (cbrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 2 (*.f64 (sqrt.f64 1/8) x))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (*.f64 (sqrt.f64 1/8) x) 2)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 2 (*.f64 (cbrt.f64 1/16) (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 2 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1/2))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 8 (pow.f64 (*.f64 1/2 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x))) 3))
(/.f64 (*.f64 1/8 (*.f64 (sqrt.f64 1/2) x)) 1/8)
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/2) (*.f64 (sqrt.f64 1/2) x)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) -1) (cbrt.f64 -2))
(/.f64 (*.f64 (neg.f64 x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 -2))
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) 2) (cbrt.f64 (/.f64 2 1/8)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 x -1) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 (cbrt.f64 1/2) x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 x (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))
(/.f64 (*.f64 (neg.f64 x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 -2))
(/.f64 (*.f64 2 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 (/.f64 2 1/8)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 -1 x) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) x)) -1)
(*.f64 (sqrt.f64 1/2) x)
(/.f64 x (/.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (neg.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2)))) (cbrt.f64 -2))
(/.f64 (*.f64 (neg.f64 x) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 -2))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (+.f64 x x) (sqrt.f64 8))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (cbrt.f64 1/2))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (*.f64 x (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 4)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) 2)
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 x (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 2))
(*.f64 (sqrt.f64 1/2) x)
(/.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)) 1/3)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) x)) 3)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 1)
(*.f64 (sqrt.f64 1/2) x)
(neg.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) x)))
(*.f64 (sqrt.f64 1/2) x)
(neg.f64 (*.f64 -2 (*.f64 (sqrt.f64 1/8) x)))
(*.f64 (sqrt.f64 1/2) x)
(neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) -1))
(*.f64 (sqrt.f64 1/2) x)
(neg.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 2) -1/2))
(*.f64 (sqrt.f64 1/2) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/8)))
(*.f64 (sqrt.f64 1/2) x)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
9.3b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
Compiler

Compiled 38 to 20 computations (47.4% saved)

series32.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
1.0ms
x
@inf
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
1.0ms
x
@-inf
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
0.0ms
x
@inf
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
0.0ms
x
@-inf
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
Compiler

Compiled 1880 to 1675 computations (10.9% saved)

rewrite116.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
49×egg-rr
25×egg-rr
Counts
2 → 74
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) 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#<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 x 3) 4) x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 x (fma.f64 1/2 x -1))) 0) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 x 3) 4) x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 1/2 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2) 2))) (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (*.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (-.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 3))))))

simplify548.0ms (4%)

Algorithm
egglog
Counts
90 → 94
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))
(*.f64 1 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 1)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) 2))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 1)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) (/.f64 2 2))
(pow.f64 (fma.f64 (fma.f64 1/2 x 1) x 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 2) 1/2)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 3))
(fabs.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) x)
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 (*.f64 x x) 1/2 x)
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) x)
(fma.f64 1 x (*.f64 1/2 (*.f64 x x)))
(fma.f64 (*.f64 1/2 x) x x)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) x)
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 x)
(fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)) x)
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) x)
(fma.f64 x (*.f64 1/2 x) x)
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) x)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x)
(fma.f64 (sqrt.f64 1/2) (*.f64 (*.f64 x x) (sqrt.f64 1/2)) x)
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))
(fma.f64 x 1 (*.f64 1/2 (*.f64 x x)))
(if (!=.f64 (*.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 x 3) 4) x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (neg.f64 (*.f64 x (fma.f64 1/2 x -1))) 0) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 x 3) 4) x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
(+.f64 x (*.f64 1/2 (*.f64 x x)))
(*.f64 1 (*.f64 x (fma.f64 1/2 x 1)))
(*.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (fma.f64 1/2 x 1) x)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2))))
(*.f64 x (*.f64 (fma.f64 1/2 x 1) 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2) 2))) (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)))
(*.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (*.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (-.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2) 2))))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2)))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 1/8 x)))))
(/.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) 3)
(pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 3))
Outputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (-.f64 1/2 1/8) (*.f64 x x)) x)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (-.f64 1/2 1/8) (*.f64 x x)) x)) (sqrt.f64 2)) (*.f64 (*.f64 -1/4 (*.f64 (-.f64 1/2 1/8) (pow.f64 x 3))) (sqrt.f64 1/8)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (neg.f64 x) (sqrt.f64 1/2))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 1 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 1)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) 2))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2)))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2)))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(/.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 1)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 3)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 1)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 3) 1/3)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) (*.f64 2 1/2))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) (/.f64 2 2))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (fma.f64 (fma.f64 1/2 x 1) x 2) 1/2)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))) 2)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 2) 1/2)
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 2))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)) 3))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(fabs.f64 (sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2)))
(sqrt.f64 (fma.f64 (fma.f64 1/2 x 1) x 2))
(fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) 1/2 x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1 x (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 1/2 x) x x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) x)
(fma.f64 (*.f64 1/2 (*.f64 x x)) 1 x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)) x)
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) x)
(fma.f64 x (*.f64 1/2 x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (sqrt.f64 1/2) (*.f64 (*.f64 x x) (sqrt.f64 1/2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 x 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(if (!=.f64 (*.f64 x (fma.f64 1/2 x -1)) 0) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 x 3) 4) x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (*.f64 x (fma.f64 1/2 x -1)) 0) (*.f64 (fma.f64 (pow.f64 x 3) 1/4 (neg.f64 x)) (/.f64 x (*.f64 x (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (neg.f64 (*.f64 x (fma.f64 1/2 x -1))) 0) (/.f64 (*.f64 x (-.f64 (/.f64 (pow.f64 x 3) 4) x)) (*.f64 x (fma.f64 1/2 x -1))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (neg.f64 (*.f64 x (fma.f64 1/2 x -1))) 0) (*.f64 (fma.f64 (pow.f64 x 3) 1/4 (neg.f64 x)) (/.f64 x (*.f64 x (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (fma.f64 x x (*.f64 1/2 (*.f64 (pow.f64 x 3) (fma.f64 1/2 x -1)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 1/2 (*.f64 (pow.f64 x 3) (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 1/2 (*.f64 (pow.f64 x 3) (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 1/2 (pow.f64 x 3)) (fma.f64 1/2 x -1)))) (*.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (*.f64 (*.f64 1/2 x) x) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 1/2 (*.f64 (pow.f64 x 3) (fma.f64 1/2 x -1))))) (*.f64 x (fma.f64 1/2 x 1)))
(+.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 x (*.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 1 (*.f64 x (fma.f64 1/2 x 1)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (fma.f64 1/2 x 1) x)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 x (*.f64 (fma.f64 1/2 x 1) 1))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2) 2))) (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (*.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2)) (-.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 x)))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2)) (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (*.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1)))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 2) 2))))
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) x)
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) x)
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 x)))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) x)
(*.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 1/8 x)))))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) x)
(/.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/2 x 1))) 3)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 1)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 3) 1/3)
(*.f64 x (fma.f64 1/2 x 1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/2 x 1)) 3))
(*.f64 x (fma.f64 1/2 x 1))

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 2 x) -1/2)
0.0b
(sqrt.f64 (+.f64 2 x))
0.6b
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
Compiler

Compiled 47 to 38 computations (19.1% saved)

series65.0ms (0.5%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
2.0ms
x
@-inf
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
1.0ms
x
@0
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
1.0ms
x
@-inf
(pow.f64 (+.f64 2 x) -1/2)
1.0ms
x
@inf
(pow.f64 (+.f64 2 x) -1/2)
Compiler

Compiled 3330 to 2950 computations (11.4% saved)

rewrite110.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
51×egg-rr
29×egg-rr
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(pow.f64 (+.f64 2 x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 2 x) 0) (sqrt.f64 (+.f64 2 x)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (+.f64 2 x) -1/2) 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 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simplify462.0ms (3.4%)

Algorithm
egglog
Counts
88 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 2 -1/2))) (+.f64 (/.f64 1 (pow.f64 2 -1/2)) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 2 -1/2)))))
(+.f64 (*.f64 1/128 (/.f64 (pow.f64 x 3) (pow.f64 2 -1/2))) (+.f64 (*.f64 1/4 (/.f64 x (pow.f64 2 -1/2))) (+.f64 (/.f64 1 (pow.f64 2 -1/2)) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 2 -1/2))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 2 -1/2) x)) (+.f64 (pow.f64 2 -1/2) (*.f64 3/32 (*.f64 (pow.f64 2 -1/2) (pow.f64 x 2)))))
(+.f64 (*.f64 -5/128 (*.f64 (pow.f64 2 -1/2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 2 -1/2) x)) (+.f64 (pow.f64 2 -1/2) (*.f64 3/32 (*.f64 (pow.f64 2 -1/2) (pow.f64 x 2))))))
(pow.f64 (/.f64 1 x) 1/2)
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (pow.f64 (/.f64 1 x) 1/2))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (pow.f64 (/.f64 1 x) 1/2)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) 1/2))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (pow.f64 (/.f64 1 x) 1/2))))
(if (!=.f64 (+.f64 2 x) 0) (sqrt.f64 (+.f64 2 x)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 1 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (+.f64 2 x) -1/2) 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) (neg.f64 1/3)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (neg.f64 3)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(-.f64 0 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1) -1)
(*.f64 -1 (*.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)) 1))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2)))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))
(*.f64 -1 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 1)
(*.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)) -1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2)))
(*.f64 (/.f64 1 -1) (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2))
(/.f64 -1 (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(/.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 1)
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) -1) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 1)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(neg.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)) 1))
(neg.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2))) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 1 0) (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (pow.f64 (+.f64 2 x) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (pow.f64 (+.f64 2 x) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(*.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2))
(*.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) -1))
(*.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (/.f64 1 -1))
(*.f64 (/.f64 1 -1) (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(/.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(/.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1)
(/.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)
(pow.f64 (+.f64 2 x) -1/2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(neg.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3))
Outputs
(+.f64 (*.f64 1/4 (/.f64 x (pow.f64 2 -1/2))) (+.f64 (/.f64 1 (pow.f64 2 -1/2)) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 2 -1/2)))))
(fma.f64 1/4 (*.f64 x (sqrt.f64 2)) (/.f64 (+.f64 (*.f64 -1/32 (*.f64 x x)) 1) (sqrt.f64 1/2)))
(+.f64 (*.f64 1/128 (/.f64 (pow.f64 x 3) (pow.f64 2 -1/2))) (+.f64 (*.f64 1/4 (/.f64 x (pow.f64 2 -1/2))) (+.f64 (/.f64 1 (pow.f64 2 -1/2)) (*.f64 -1/32 (/.f64 (pow.f64 x 2) (pow.f64 2 -1/2))))))
(+.f64 (/.f64 (+.f64 (*.f64 1/128 (pow.f64 x 3)) (*.f64 1/4 x)) (sqrt.f64 1/2)) (/.f64 (+.f64 (*.f64 -1/32 (*.f64 x x)) 1) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 2 -1/2) x)) (+.f64 (pow.f64 2 -1/2) (*.f64 3/32 (*.f64 (pow.f64 2 -1/2) (pow.f64 x 2)))))
(fma.f64 (*.f64 -1/4 (sqrt.f64 1/2)) x (fma.f64 3/32 (*.f64 (sqrt.f64 1/2) (*.f64 x x)) (sqrt.f64 1/2)))
(+.f64 (*.f64 -5/128 (*.f64 (pow.f64 2 -1/2) (pow.f64 x 3))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 2 -1/2) x)) (+.f64 (pow.f64 2 -1/2) (*.f64 3/32 (*.f64 (pow.f64 2 -1/2) (pow.f64 x 2))))))
(fma.f64 -5/128 (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)) (fma.f64 (*.f64 -1/4 (sqrt.f64 1/2)) x (fma.f64 3/32 (*.f64 (sqrt.f64 1/2) (*.f64 x x)) (sqrt.f64 1/2))))
(pow.f64 (/.f64 1 x) 1/2)
(sqrt.f64 (/.f64 1 x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (pow.f64 (/.f64 1 x) 1/2))
(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (sqrt.f64 (/.f64 1 x)) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (pow.f64 (/.f64 1 x) 1/2)))
(-.f64 (fma.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) x)) (sqrt.f64 (/.f64 1 x))) (/.f64 (sqrt.f64 (/.f64 1 x)) x))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (/.f64 1 x) 1/2) x)) (+.f64 (*.f64 -5/2 (*.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (/.f64 1 x) 1/2))) (+.f64 (*.f64 3/2 (*.f64 (pow.f64 (/.f64 1 x) 1/2) (pow.f64 (/.f64 1 x) 2))) (pow.f64 (/.f64 1 x) 1/2))))
(-.f64 (fma.f64 (/.f64 -5/2 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (/.f64 1 x) x)) (sqrt.f64 (/.f64 1 x)))) (/.f64 (sqrt.f64 (/.f64 1 x)) x))
(if (!=.f64 (+.f64 2 x) 0) (sqrt.f64 (+.f64 2 x)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 1 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (+.f64 2 x) -1/2) 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 -1 0) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) 0) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 0) (/.f64 -1 (/.f64 1 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) (neg.f64 1/3)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) 0) (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) -1/3) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (neg.f64 3)) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 0) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -3) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(if (!=.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))) 0) (cbrt.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (/.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))))) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(-.f64 0 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(-.f64 (/.f64 0 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1) -1)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 -1 (*.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)) 1))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 1 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 -1 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 1)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)) -1)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) 2))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) 2) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (/.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2)) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(*.f64 (/.f64 1 -1) (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) -1) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 -1 (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 -1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 1)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) 3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) -1) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 1)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(neg.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(neg.f64 (*.f64 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2)) 1))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(neg.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) -1))
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) 0) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1) 2))) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) 0) (cbrt.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) (/.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 1 0) (pow.f64 (+.f64 2 x) -1/2) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (pow.f64 (+.f64 2 x) -1/2) 0) (/.f64 1 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1)) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (pow.f64 (+.f64 2 x) -1/2) 0) (/.f64 -1 (/.f64 -1 (pow.f64 (+.f64 2 x) -1/2))) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 0) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (pow.f64 (+.f64 2 x) -1/2))
(if (!=.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 0) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2) (pow.f64 (pow.f64 (+.f64 2 x) -1/2) -1))) (pow.f64 (+.f64 2 x) -1/2))
(-.f64 0 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 1 (pow.f64 (+.f64 2 x) -1/2))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2))))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2))) (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2))))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) -1) (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) -1) (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) -1))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1) (/.f64 1 -1))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (/.f64 1 -1) (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)))
(pow.f64 (+.f64 2 x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 2)) (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)
(/.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(pow.f64 (+.f64 2 x) -1/2)
(/.f64 (/.f64 (pow.f64 (+.f64 2 x) -1/2) -1) -1)
(pow.f64 (+.f64 2 x) -1/2)
(/.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)) -1)
(pow.f64 (+.f64 2 x) -1/2)
(pow.f64 (+.f64 2 x) -1/2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3) 1/3)
(pow.f64 (+.f64 2 x) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) -1/2)) 3)
(pow.f64 (+.f64 2 x) -1/2)
(pow.f64 (pow.f64 (+.f64 2 x) -1/2) 1)
(pow.f64 (+.f64 2 x) -1/2)
(neg.f64 (neg.f64 (pow.f64 (+.f64 2 x) -1/2)))
(pow.f64 (+.f64 2 x) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 2 x) -1/2) 3))
(pow.f64 (+.f64 2 x) -1/2)

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
0.3b
(pow.f64 (/.f64 -1 x) -2)
9.3b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
Compiler

Compiled 53 to 43 computations (18.9% saved)

series39.0ms (0.3%)

Counts
3 → 21
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
1.0ms
x
@0
(pow.f64 (/.f64 -1 x) -2)
1.0ms
x
@inf
(pow.f64 (/.f64 -1 x) -2)
1.0ms
x
@-inf
(pow.f64 (/.f64 -1 x) -2)
1.0ms
x
@inf
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
Compiler

Compiled 1905 to 1690 computations (11.3% saved)

rewrite113.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
44×egg-rr
36×egg-rr
17×egg-rr
Counts
3 → 97
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
(pow.f64 (/.f64 -1 x) -2)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
Outputs
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simplify555.0ms (4.1%)

Algorithm
egglog
Counts
118 → 124
Calls
Call 1
Inputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 (/.f64 1 x) -2)
(pow.f64 (/.f64 1 x) -2)
(pow.f64 (/.f64 1 x) -2)
(pow.f64 (/.f64 1 x) -2)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(if (!=.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) -1) (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) -2)) (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))
(if (!=.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)) 0) (/.f64 1 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)) -1/2)) (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))
(-.f64 0 (neg.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) 2))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2)))
(*.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))) (*.f64 -1 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) -1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) -1))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) 1) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) 1))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2) (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))
(*.f64 1 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 1)
(*.f64 -1 (neg.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) -1)
(/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 1)
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) (/.f64 2 2))
(pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 2) 1/2)
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))) 2)
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) 1))
(sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))
(sqrt.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 3))
(fabs.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))
(if (!=.f64 (pow.f64 (/.f64 -1 x) -2) 0) (pow.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) -1) -1) (pow.f64 (/.f64 -1 x) -2))
(if (!=.f64 (/.f64 -1 x) 0) (/.f64 1 (/.f64 (/.f64 1 x) x)) (pow.f64 (/.f64 -1 x) -2))
(-.f64 0 (neg.f64 (pow.f64 (/.f64 -1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 x) -2)) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2)) (cbrt.f64 (pow.f64 (/.f64 -1 x) -2)))
(*.f64 1 (pow.f64 (/.f64 -1 x) -2))
(*.f64 (pow.f64 (/.f64 -1 x) -2) 1)
(*.f64 -1 (neg.f64 (pow.f64 (/.f64 -1 x) -2)))
(*.f64 (neg.f64 (pow.f64 (/.f64 -1 x) -2)) -1)
(/.f64 (pow.f64 (/.f64 -1 x) -2) 1)
(/.f64 (neg.f64 (pow.f64 (/.f64 -1 x) -2)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1 x) -2)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 3) 1/3)
(pow.f64 (/.f64 -1 x) -2)
(pow.f64 (pow.f64 (/.f64 -1 x) -2) 1)
(neg.f64 (neg.f64 (pow.f64 (/.f64 -1 x) -2)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 3))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2))) x)
(fma.f64 1 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1 x (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 x 1 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -1 (neg.f64 x) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -1 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 (*.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 1/2)) (sqrt.f64 1/2) x)
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 -1 x) -2)) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2)) 1/2) x)
(fma.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 (/.f64 -1 x) -2) (sqrt.f64 1/2)) x)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2))) (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))) x)
(fma.f64 (*.f64 (pow.f64 (/.f64 -1 x) -2) (cbrt.f64 1/2)) (cbrt.f64 1/4) x)
(fma.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) 1 x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(fma.f64 (pow.f64 (/.f64 -1 x) -2) 1/2 x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(if (!=.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(if (!=.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (neg.f64 x)) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (neg.f64 (*.f64 x x))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (neg.f64 x))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(if (!=.f64 (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (neg.f64 (*.f64 x x))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (neg.f64 x))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(if (!=.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (*.f64 x (+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(if (!=.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 0) (pow.f64 (/.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) -1) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(-.f64 x (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)))
(-.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (neg.f64 x))
(-.f64 0 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 2)) (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(*.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(*.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 1)
(*.f64 -1 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) -1)
(*.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) -2) (*.f64 1/2 x))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))))
(*.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2))) (-.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) -2) (*.f64 1/2 x))))) (+.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 x)))
(/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 1)
(/.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) -1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 3) 1/3)
(pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 1)
(neg.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 3))
Outputs
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 (+.f64 1/2 -1/8) x) x) x)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 x 2)) (sqrt.f64 2))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 (+.f64 1/2 -1/8) x) x) x)) (sqrt.f64 2)) (*.f64 (*.f64 (*.f64 -1/4 (+.f64 1/2 -1/8)) (pow.f64 x 3)) (sqrt.f64 1/8)))
(*.f64 (sqrt.f64 1/2) x)
(*.f64 -1 (*.f64 (sqrt.f64 1/2) x))
(*.f64 (neg.f64 x) (sqrt.f64 1/2))
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 x 2)
(*.f64 x x)
(pow.f64 (/.f64 1 x) -2)
(pow.f64 (/.f64 1 x) -2)
(pow.f64 (/.f64 1 x) -2)
(pow.f64 (/.f64 1 x) -2)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 (pow.f64 (/.f64 1 x) -2) 1/2 x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 (pow.f64 (/.f64 1 x) -2) 1/2 x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 (pow.f64 (/.f64 1 x) -2) 1/2 x)
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(if (!=.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))) 0) (pow.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x)))) -1) (sqrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) (+.f64 2 x))))
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(if (!=.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (*.f64 x (fma.f64 -1/2 (pow.f64 (/.f64 -1 x) -2) x))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2) 1/4 (*.f64 x (fma.f64 -1/2 (pow.f64 (/.f64 -1 x) -2) x)))) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(if (!=.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 0) (pow.f64 (/.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) -1) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(-.f64 x (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(-.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) (neg.f64 x))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(-.f64 0 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 2)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 2)) (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 1)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 -1 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) -1)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) -2) (*.f64 1/2 x))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(*.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 (pow.f64 (/.f64 -1 x) -2) 2))) (-.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) -2) (*.f64 1/2 x))))) (+.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 x)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(/.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 1)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(/.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) -1)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)) 3)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(pow.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 3) 1/3)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 1)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(neg.f64 (neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x) 3))
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)

eval617.0ms (4.5%)

Compiler

Compiled 14741 to 12679 computations (14% saved)

prune254.0ms (1.9%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New9163919
Fresh011
Picked011
Done167
Total91711928
Error
0b
Counts
928 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
24.1b
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
24.1b
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
19.7b
(pow.f64 512 1/18)
20.5b
(/.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))
20.1b
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
62.1b
(*.f64 (sqrt.f64 1/2) x)
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
22.5b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
22.5b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
23.5b
(sqrt.f64 (+.f64 2 x))
19.1b
(sqrt.f64 2)
Compiler

Compiled 92 to 78 computations (15.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 (sqrt.f64 2) 3)
1.0b
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
Compiler

Compiled 22 to 22 computations (0% saved)

series0.0ms (0%)

Counts
2 → 0
Compiler

Compiled 10 to 10 computations (0% saved)

rewrite78.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
94×egg-rr
79×egg-rr
Counts
2 → 173
Calls
Call 1
Inputs
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
(pow.f64 (sqrt.f64 2) 3)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 5/4) (sqrt.f64 (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 5/6) (cbrt.f64 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (neg.f64 (sqrt.f64 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 8) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)) (cbrt.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 2)) -2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 2 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(#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 8 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 8) 1/2) (*.f64 (sqrt.f64 8) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sqrt.f64 8)) (*.f64 1/2 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sqrt.f64 8)) 0) (-.f64 (sqrt.f64 (sqrt.f64 8)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 5/6) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (pow.f64 2 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 5/4) (pow.f64 2 1/8)) (pow.f64 2 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 5/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/8) (*.f64 (pow.f64 2 1/8) (pow.f64 2 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 8))) (*.f64 -1 (sqrt.f64 (sqrt.f64 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 8)) -1) (*.f64 (sqrt.f64 (sqrt.f64 8)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 2 0)) (+.f64 0 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (+.f64 2 (*.f64 0 (neg.f64 (sqrt.f64 2))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (+.f64 0 (*.f64 (sqrt.f64 2) 0))) (-.f64 (sqrt.f64 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 16) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 5/4) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 2 -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 2 9/2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 2 9/2) 0) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 9/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 2)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (sqrt.f64 8)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 8)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 2 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 2) 3/2))))))

simplify453.0ms (3.3%)

Algorithm
egglog
Counts
173 → 190
Calls
Call 1
Inputs
(if (!=.f64 -4 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 -4) 0) (/.f64 (cbrt.f64 16) (/.f64 (neg.f64 (sqrt.f64 8)) (cbrt.f64 -4))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 1 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (neg.f64 (cbrt.f64 16)) 0) (/.f64 (cbrt.f64 -4) (neg.f64 (/.f64 (sqrt.f64 8) (cbrt.f64 16)))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (cbrt.f64 4) (/.f64 (sqrt.f64 8) (cbrt.f64 16))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 2 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 4 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 1/2 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 -1 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (*.f64 (sqrt.f64 1/2) 2) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/2) 2) -1)) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (cbrt.f64 -4) (neg.f64 (/.f64 (sqrt.f64 8) (cbrt.f64 16)))) (*.f64 (sqrt.f64 1/2) 2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 2) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) 2) 1/2))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) 2)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) 2)))
(-.f64 (/.f64 0 (sqrt.f64 8)) (*.f64 -2 (sqrt.f64 1/2)))
(-.f64 0 (*.f64 -2 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) 2)
(*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 -4) (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 4) (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)))
(*.f64 -1 (*.f64 -2 (sqrt.f64 1/2)))
(*.f64 (*.f64 -2 (sqrt.f64 1/2)) -1)
(*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)) (cbrt.f64 4))
(*.f64 (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))) (cbrt.f64 -4))
(*.f64 (*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (*.f64 4 (sqrt.f64 1/2)) (pow.f64 (neg.f64 (sqrt.f64 1/2)) 2))
(*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (cbrt.f64 -4)) (*.f64 (cbrt.f64 (cbrt.f64 16)) (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2)))))
(*.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 2) -4))
(*.f64 (cbrt.f64 -4) (*.f64 (neg.f64 (sqrt.f64 1/2)) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2)))
(*.f64 (neg.f64 (sqrt.f64 1/2)) -2)
(*.f64 (cbrt.f64 4) (*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)) 1))
(*.f64 (cbrt.f64 -4) (*.f64 (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))) 1))
(*.f64 (/.f64 (cbrt.f64 16) -1) (/.f64 (cbrt.f64 -4) (sqrt.f64 8)))
(*.f64 (/.f64 (cbrt.f64 16) (sqrt.f64 2)) (/.f64 (cbrt.f64 -4) -2))
(*.f64 (/.f64 (cbrt.f64 16) -2) (/.f64 (cbrt.f64 -4) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 16) (neg.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 -4) 2))
(*.f64 (/.f64 (cbrt.f64 -4) (sqrt.f64 8)) (/.f64 (cbrt.f64 16) -1))
(*.f64 (/.f64 (cbrt.f64 -4) (sqrt.f64 2)) (/.f64 (cbrt.f64 16) -2))
(*.f64 (/.f64 (cbrt.f64 -4) 2) (/.f64 (cbrt.f64 16) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 -4) -2) (/.f64 (cbrt.f64 16) (sqrt.f64 2)))
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(*.f64 (cbrt.f64 16) (/.f64 (cbrt.f64 -4) (neg.f64 (sqrt.f64 8))))
(*.f64 -4 (neg.f64 (pow.f64 2 -3/2)))
(*.f64 (neg.f64 (pow.f64 2 -3/2)) -4)
(*.f64 1 (*.f64 (sqrt.f64 1/2) 2))
(*.f64 (*.f64 (sqrt.f64 1/2) 2) 1)
(*.f64 -2 (neg.f64 (sqrt.f64 1/2)))
(*.f64 (*.f64 4 (sqrt.f64 1/2)) 1/2)
(*.f64 (/.f64 -4 (sqrt.f64 2)) -1/2)
(*.f64 2 (sqrt.f64 1/2))
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(/.f64 (*.f64 -2 (sqrt.f64 1/2)) -1)
(/.f64 (/.f64 4 (pow.f64 2 5/6)) (cbrt.f64 4))
(/.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 5/4))
(/.f64 2 (sqrt.f64 2))
(/.f64 (/.f64 4 (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
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(/.f64 -1 (/.f64 (sqrt.f64 8) -4))
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(/.f64 (*.f64 (*.f64 4 (sqrt.f64 1/2)) 1) 2)
(/.f64 (/.f64 4 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 16))
(/.f64 (/.f64 (*.f64 4 (sqrt.f64 1/2)) 1) 2)
(/.f64 2 (/.f64 (sqrt.f64 8) 2))
(/.f64 2 (/.f64 (/.f64 (sqrt.f64 2) 2) 1/2))
(/.f64 (neg.f64 (*.f64 4 (sqrt.f64 1/2))) -2)
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 4) (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 4 (neg.f64 (sqrt.f64 2))) -2)
(/.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 8))) (sqrt.f64 (sqrt.f64 8)))
(/.f64 (/.f64 4 (pow.f64 2 5/4)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 -4 (sqrt.f64 2)) -2)
(/.f64 4 (sqrt.f64 8))
(/.f64 (/.f64 8 (sqrt.f64 8)) 2)
(pow.f64 (/.f64 8 (sqrt.f64 8)) 1/3)
(pow.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)) 3)
(pow.f64 (*.f64 (sqrt.f64 1/2) 2) 1)
(pow.f64 (/.f64 (sqrt.f64 2) 2) -1)
(neg.f64 (*.f64 -2 (sqrt.f64 1/2)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 2 -3/2)) 4))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 2) -1))
(neg.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) 2)))
(cbrt.f64 (/.f64 8 (sqrt.f64 8)))
(fma.f64 0 0 (sqrt.f64 8))
(fma.f64 1 0 (sqrt.f64 8))
(fma.f64 (pow.f64 2 5/4) (sqrt.f64 (sqrt.f64 2)) 0)
(fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 2)) 0)
(fma.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 8)) 0)
(fma.f64 (pow.f64 2 5/6) (cbrt.f64 4) 0)
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(fma.f64 (sqrt.f64 8) 1 0)
(fma.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)) (cbrt.f64 2) 0)
(fma.f64 (neg.f64 (sqrt.f64 2)) -2 0)
(fma.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4) 0)
(fma.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 16) 0)
(fma.f64 2 (sqrt.f64 2) 0)
(fma.f64 (sqrt.f64 2) 2 0)
(if (!=.f64 (sqrt.f64 8) 0) (/.f64 8 (sqrt.f64 8)) (sqrt.f64 8))
(if (!=.f64 8 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 (sqrt.f64 8) 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))
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(if (!=.f64 0 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 0 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))
(if (!=.f64 8 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))
(+.f64 (*.f64 (sqrt.f64 8) 1/2) (*.f64 (sqrt.f64 8) 1/2))
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(+.f64 0 (sqrt.f64 8))
(-.f64 (sqrt.f64 8) 0)
(-.f64 0 (neg.f64 (sqrt.f64 8)))
(*.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 8)))
(*.f64 (+.f64 (sqrt.f64 (sqrt.f64 8)) 0) (-.f64 (sqrt.f64 (sqrt.f64 8)) 0))
(*.f64 (neg.f64 (sqrt.f64 2)) -2)
(*.f64 -2 (neg.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 5/6) (cbrt.f64 4))
(*.f64 -1 (neg.f64 (sqrt.f64 8)))
(*.f64 (cbrt.f64 4) (pow.f64 2 5/6))
(*.f64 (neg.f64 (sqrt.f64 8)) -1)
(*.f64 (*.f64 (pow.f64 2 5/4) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(*.f64 (*.f64 (pow.f64 2 5/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 16)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 16)))
(*.f64 (pow.f64 2 1/8) (*.f64 (pow.f64 2 1/8) (pow.f64 2 5/4)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4)))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (sqrt.f64 2))))
(*.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 8))) (*.f64 -1 (sqrt.f64 (sqrt.f64 8))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 8)) -1) (*.f64 (sqrt.f64 (sqrt.f64 8)) -1))
(*.f64 (+.f64 0 (-.f64 2 0)) (+.f64 0 (sqrt.f64 2)))
(*.f64 (+.f64 0 (+.f64 2 (*.f64 0 (neg.f64 (sqrt.f64 2))))) (sqrt.f64 2))
(*.f64 (+.f64 2 (+.f64 0 (*.f64 (sqrt.f64 2) 0))) (-.f64 (sqrt.f64 2) 0))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 16))
(*.f64 (cbrt.f64 16) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) -2))
(*.f64 1 (sqrt.f64 8))
(*.f64 (sqrt.f64 8) 1)
(*.f64 (sqrt.f64 2) 2)
(*.f64 2 (sqrt.f64 2))
(*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (pow.f64 2 5/4) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4))
(/.f64 (neg.f64 (sqrt.f64 8)) -1)
(/.f64 (sqrt.f64 8) 1)
(/.f64 1 (pow.f64 2 -3/2))
(/.f64 (+.f64 0 (pow.f64 2 9/2)) 8)
(/.f64 (-.f64 (pow.f64 2 9/2) 0) 8)
(pow.f64 (pow.f64 2 9/2) 1/3)
(pow.f64 (sqrt.f64 2) 3)
(pow.f64 2 3/2)
(pow.f64 (sqrt.f64 8) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 6)
(pow.f64 (sqrt.f64 (sqrt.f64 8)) 2)
(pow.f64 4 3/4)
(pow.f64 8 1/2)
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 8)) 0))
(neg.f64 (neg.f64 (sqrt.f64 8)))
(sqrt.f64 8)
(cbrt.f64 (pow.f64 2 9/2))
(fabs.f64 (sqrt.f64 8))
(exp.f64 (*.f64 (log.f64 2) 3/2))
Outputs
(if (!=.f64 -4 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 -4 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 -4) 0) (/.f64 (cbrt.f64 16) (/.f64 (neg.f64 (sqrt.f64 8)) (cbrt.f64 -4))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 -4) 0) (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 -1/4)) (sqrt.f64 2))
(if (!=.f64 1 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (neg.f64 (cbrt.f64 16)) 0) (/.f64 (cbrt.f64 -4) (neg.f64 (/.f64 (sqrt.f64 8) (cbrt.f64 16)))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 (neg.f64 16)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (cbrt.f64 4) (/.f64 (sqrt.f64 8) (cbrt.f64 16))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 16) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 2 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 4 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 4 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 1/2 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 1/2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 -1 0) (*.f64 (sqrt.f64 1/2) 2) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 -1 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (*.f64 (sqrt.f64 1/2) 2) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 1/2) 2) -1)) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (sqrt.f64 2) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (cbrt.f64 16) 0) (/.f64 (cbrt.f64 -4) (neg.f64 (/.f64 (sqrt.f64 8) (cbrt.f64 16)))) (*.f64 (sqrt.f64 1/2) 2))
(if (!=.f64 (cbrt.f64 16) 0) (sqrt.f64 2) (sqrt.f64 2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 2) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) 2) 1/2))
(sqrt.f64 2)
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) 2)) (*.f64 1/2 (*.f64 (sqrt.f64 1/2) 2)))
(sqrt.f64 2)
(-.f64 (/.f64 0 (sqrt.f64 8)) (*.f64 -2 (sqrt.f64 1/2)))
(sqrt.f64 2)
(-.f64 0 (*.f64 -2 (sqrt.f64 1/2)))
(sqrt.f64 2)
(*.f64 (sqrt.f64 1/2) 2)
(sqrt.f64 2)
(*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)) (cbrt.f64 2))
(sqrt.f64 2)
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 -4) (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(*.f64 (cbrt.f64 4) (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 -1 (*.f64 -2 (sqrt.f64 1/2)))
(sqrt.f64 2)
(*.f64 (*.f64 -2 (sqrt.f64 1/2)) -1)
(sqrt.f64 2)
(*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)) (cbrt.f64 4))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))) (cbrt.f64 -4))
(sqrt.f64 2)
(*.f64 (*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(sqrt.f64 2)
(*.f64 (*.f64 4 (sqrt.f64 1/2)) (pow.f64 (neg.f64 (sqrt.f64 1/2)) 2))
(sqrt.f64 2)
(*.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)))) (cbrt.f64 (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (sqrt.f64 1/2))))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 -4)) (*.f64 (cbrt.f64 (cbrt.f64 16)) (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2)))))
(sqrt.f64 2)
(*.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 (pow.f64 (neg.f64 (sqrt.f64 1/2)) 2) -4))
(sqrt.f64 2)
(*.f64 (cbrt.f64 -4) (*.f64 (neg.f64 (sqrt.f64 1/2)) (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2))) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (neg.f64 (sqrt.f64 1/2)) -2)
(sqrt.f64 2)
(*.f64 (cbrt.f64 4) (*.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 2)) 1))
(sqrt.f64 2)
(*.f64 (cbrt.f64 -4) (*.f64 (/.f64 (cbrt.f64 2) (neg.f64 (sqrt.f64 2))) 1))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 16) -1) (/.f64 (cbrt.f64 -4) (sqrt.f64 8)))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 16) (sqrt.f64 2)) (/.f64 (cbrt.f64 -4) -2))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 16) -2) (/.f64 (cbrt.f64 -4) (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 16) (neg.f64 (sqrt.f64 2))) (/.f64 (cbrt.f64 -4) 2))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 -4) (sqrt.f64 8)) (/.f64 (cbrt.f64 16) -1))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 -4) (sqrt.f64 2)) (/.f64 (cbrt.f64 16) -2))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 -4) 2) (/.f64 (cbrt.f64 16) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 -4) -2) (/.f64 (cbrt.f64 16) (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (/.f64 (cbrt.f64 -4) (neg.f64 (sqrt.f64 8))) (cbrt.f64 16))
(sqrt.f64 2)
(*.f64 (cbrt.f64 16) (/.f64 (cbrt.f64 -4) (neg.f64 (sqrt.f64 8))))
(sqrt.f64 2)
(*.f64 -4 (neg.f64 (pow.f64 2 -3/2)))
(sqrt.f64 2)
(*.f64 (neg.f64 (pow.f64 2 -3/2)) -4)
(sqrt.f64 2)
(*.f64 1 (*.f64 (sqrt.f64 1/2) 2))
(sqrt.f64 2)
(*.f64 (*.f64 (sqrt.f64 1/2) 2) 1)
(sqrt.f64 2)
(*.f64 -2 (neg.f64 (sqrt.f64 1/2)))
(sqrt.f64 2)
(*.f64 (*.f64 4 (sqrt.f64 1/2)) 1/2)
(sqrt.f64 2)
(*.f64 (/.f64 -4 (sqrt.f64 2)) -1/2)
(sqrt.f64 2)
(*.f64 2 (sqrt.f64 1/2))
(sqrt.f64 2)
(*.f64 1/2 (*.f64 4 (sqrt.f64 1/2)))
(sqrt.f64 2)
(*.f64 -1/2 (/.f64 -4 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 4 (pow.f64 2 -3/2))
(sqrt.f64 2)
(*.f64 (pow.f64 2 -3/2) 4)
(sqrt.f64 2)
(*.f64 4 (*.f64 (pow.f64 2 -3/2) 1))
(sqrt.f64 2)
(/.f64 -4 (neg.f64 (sqrt.f64 8)))
(sqrt.f64 2)
(/.f64 (*.f64 (sqrt.f64 1/2) 2) 1)
(sqrt.f64 2)
(/.f64 (*.f64 -2 (sqrt.f64 1/2)) -1)
(sqrt.f64 2)
(/.f64 (/.f64 4 (pow.f64 2 5/6)) (cbrt.f64 4))
(/.f64 (cbrt.f64 (/.f64 64 4)) (pow.f64 4 5/12))
(/.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 2))) (pow.f64 2 5/4))
(/.f64 (/.f64 4 (pow.f64 4 5/8)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 2 (sqrt.f64 2))
(sqrt.f64 2)
(/.f64 (/.f64 4 (cbrt.f64 2)) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(sqrt.f64 2)
(/.f64 (/.f64 (*.f64 4 (sqrt.f64 1/2)) (cbrt.f64 2)) (cbrt.f64 4))
(sqrt.f64 2)
(/.f64 -1 (/.f64 (sqrt.f64 8) -4))
(sqrt.f64 2)
(/.f64 -1 (/.f64 (/.f64 (sqrt.f64 2) 2) -1))
(sqrt.f64 2)
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(/.f64 (*.f64 4 (sqrt.f64 1/2)) 2)
(sqrt.f64 2)
(/.f64 1 (/.f64 (sqrt.f64 2) 2))
(sqrt.f64 2)
(/.f64 (*.f64 (*.f64 4 (sqrt.f64 1/2)) 1) 2)
(sqrt.f64 2)
(/.f64 (/.f64 4 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 16))
(sqrt.f64 2)
(/.f64 (/.f64 (*.f64 4 (sqrt.f64 1/2)) 1) 2)
(sqrt.f64 2)
(/.f64 2 (/.f64 (sqrt.f64 8) 2))
(sqrt.f64 2)
(/.f64 2 (/.f64 (/.f64 (sqrt.f64 2) 2) 1/2))
(sqrt.f64 2)
(/.f64 (neg.f64 (*.f64 4 (sqrt.f64 1/2))) -2)
(sqrt.f64 2)
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 4) (sqrt.f64 2))) (cbrt.f64 2))
(sqrt.f64 2)
(/.f64 (/.f64 4 (neg.f64 (sqrt.f64 2))) -2)
(sqrt.f64 2)
(/.f64 (/.f64 4 (sqrt.f64 (sqrt.f64 8))) (sqrt.f64 (sqrt.f64 8)))
(sqrt.f64 2)
(/.f64 (/.f64 4 (pow.f64 2 5/4)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 4 (pow.f64 4 5/8)) (sqrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 -4 (sqrt.f64 2)) -2)
(sqrt.f64 2)
(/.f64 4 (sqrt.f64 8))
(sqrt.f64 2)
(/.f64 (/.f64 8 (sqrt.f64 8)) 2)
(sqrt.f64 2)
(pow.f64 (/.f64 8 (sqrt.f64 8)) 1/3)
(sqrt.f64 2)
(pow.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 1/2)) 3)
(sqrt.f64 2)
(pow.f64 (*.f64 (sqrt.f64 1/2) 2) 1)
(sqrt.f64 2)
(pow.f64 (/.f64 (sqrt.f64 2) 2) -1)
(sqrt.f64 2)
(neg.f64 (*.f64 -2 (sqrt.f64 1/2)))
(sqrt.f64 2)
(neg.f64 (*.f64 (neg.f64 (pow.f64 2 -3/2)) 4))
(sqrt.f64 2)
(neg.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 2) -1))
(sqrt.f64 2)
(neg.f64 (/.f64 -1 (/.f64 (sqrt.f64 2) 2)))
(sqrt.f64 2)
(cbrt.f64 (/.f64 8 (sqrt.f64 8)))
(sqrt.f64 2)
(fma.f64 0 0 (sqrt.f64 8))
(sqrt.f64 8)
(fma.f64 1 0 (sqrt.f64 8))
(sqrt.f64 8)
(fma.f64 (pow.f64 2 5/4) (sqrt.f64 (sqrt.f64 2)) 0)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 4 5/8))
(fma.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 2)) 0)
(sqrt.f64 8)
(fma.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 8)) 0)
(sqrt.f64 8)
(fma.f64 (pow.f64 2 5/6) (cbrt.f64 4) 0)
(*.f64 (pow.f64 4 5/12) (cbrt.f64 4))
(fma.f64 1 (sqrt.f64 8) 0)
(sqrt.f64 8)
(fma.f64 -1 (neg.f64 (sqrt.f64 8)) 0)
(sqrt.f64 8)
(fma.f64 (sqrt.f64 8) 1 0)
(sqrt.f64 8)
(fma.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)) (cbrt.f64 2) 0)
(sqrt.f64 8)
(fma.f64 (neg.f64 (sqrt.f64 2)) -2 0)
(sqrt.f64 8)
(fma.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4) 0)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 4 5/8))
(fma.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 16) 0)
(sqrt.f64 8)
(fma.f64 2 (sqrt.f64 2) 0)
(sqrt.f64 8)
(fma.f64 (sqrt.f64 2) 2 0)
(sqrt.f64 8)
(if (!=.f64 (sqrt.f64 8) 0) (/.f64 8 (sqrt.f64 8)) (sqrt.f64 8))
(if (!=.f64 (sqrt.f64 8) 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 8 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 (sqrt.f64 8) 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (/.f64 8 (sqrt.f64 8)) (sqrt.f64 8))
(if (!=.f64 (neg.f64 (sqrt.f64 8)) 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 0 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 0 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))
(if (!=.f64 0 0) (sqrt.f64 8) (sqrt.f64 8))
(if (!=.f64 8 0) (/.f64 (-.f64 0 (neg.f64 (pow.f64 2 9/2))) 8) (sqrt.f64 8))
(if (!=.f64 8 0) (sqrt.f64 8) (sqrt.f64 8))
(+.f64 (*.f64 (sqrt.f64 8) 1/2) (*.f64 (sqrt.f64 8) 1/2))
(sqrt.f64 8)
(+.f64 (*.f64 1/2 (sqrt.f64 8)) (*.f64 1/2 (sqrt.f64 8)))
(sqrt.f64 8)
(+.f64 (sqrt.f64 8) 0)
(sqrt.f64 8)
(+.f64 0 (sqrt.f64 8))
(sqrt.f64 8)
(-.f64 (sqrt.f64 8) 0)
(sqrt.f64 8)
(-.f64 0 (neg.f64 (sqrt.f64 8)))
(sqrt.f64 8)
(*.f64 (sqrt.f64 (sqrt.f64 8)) (sqrt.f64 (sqrt.f64 8)))
(sqrt.f64 8)
(*.f64 (+.f64 (sqrt.f64 (sqrt.f64 8)) 0) (-.f64 (sqrt.f64 (sqrt.f64 8)) 0))
(sqrt.f64 8)
(*.f64 (neg.f64 (sqrt.f64 2)) -2)
(sqrt.f64 8)
(*.f64 -2 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 8)
(*.f64 (pow.f64 2 5/6) (cbrt.f64 4))
(*.f64 (pow.f64 4 5/12) (cbrt.f64 4))
(*.f64 -1 (neg.f64 (sqrt.f64 8)))
(sqrt.f64 8)
(*.f64 (cbrt.f64 4) (pow.f64 2 5/6))
(*.f64 (pow.f64 4 5/12) (cbrt.f64 4))
(*.f64 (neg.f64 (sqrt.f64 8)) -1)
(sqrt.f64 8)
(*.f64 (*.f64 (pow.f64 2 5/4) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(pow.f64 2 (+.f64 11/8 1/8))
(*.f64 (*.f64 (pow.f64 2 5/4) (cbrt.f64 (sqrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 4 5/8))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 16)))
(sqrt.f64 8)
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (cbrt.f64 16)))
(sqrt.f64 8)
(*.f64 (pow.f64 2 1/8) (*.f64 (pow.f64 2 1/8) (pow.f64 2 5/4)))
(pow.f64 2 (+.f64 11/8 1/8))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 4 5/8))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 4) (sqrt.f64 2))))
(sqrt.f64 8)
(*.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 8))) (*.f64 -1 (sqrt.f64 (sqrt.f64 8))))
(sqrt.f64 8)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 8)) -1) (*.f64 (sqrt.f64 (sqrt.f64 8)) -1))
(sqrt.f64 8)
(*.f64 (+.f64 0 (-.f64 2 0)) (+.f64 0 (sqrt.f64 2)))
(sqrt.f64 8)
(*.f64 (+.f64 0 (+.f64 2 (*.f64 0 (neg.f64 (sqrt.f64 2))))) (sqrt.f64 2))
(sqrt.f64 8)
(*.f64 (+.f64 2 (+.f64 0 (*.f64 (sqrt.f64 2) 0))) (-.f64 (sqrt.f64 2) 0))
(sqrt.f64 8)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 16))
(sqrt.f64 8)
(*.f64 (cbrt.f64 16) (cbrt.f64 (sqrt.f64 2)))
(sqrt.f64 8)
(*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) -2))
(sqrt.f64 8)
(*.f64 1 (sqrt.f64 8))
(sqrt.f64 8)
(*.f64 (sqrt.f64 8) 1)
(sqrt.f64 8)
(*.f64 (sqrt.f64 2) 2)
(sqrt.f64 8)
(*.f64 2 (sqrt.f64 2))
(sqrt.f64 8)
(*.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)) (cbrt.f64 2))
(sqrt.f64 8)
(*.f64 (pow.f64 2 5/4) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 4 5/8))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (sqrt.f64 2)))
(sqrt.f64 8)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 2 5/4))
(*.f64 (sqrt.f64 (sqrt.f64 2)) (pow.f64 4 5/8))
(/.f64 (neg.f64 (sqrt.f64 8)) -1)
(sqrt.f64 8)
(/.f64 (sqrt.f64 8) 1)
(sqrt.f64 8)
(/.f64 1 (pow.f64 2 -3/2))
(sqrt.f64 8)
(/.f64 (+.f64 0 (pow.f64 2 9/2)) 8)
(sqrt.f64 8)
(/.f64 (-.f64 (pow.f64 2 9/2) 0) 8)
(sqrt.f64 8)
(pow.f64 (pow.f64 2 9/2) 1/3)
(sqrt.f64 8)
(pow.f64 (sqrt.f64 2) 3)
(sqrt.f64 8)
(pow.f64 2 3/2)
(sqrt.f64 8)
(pow.f64 (sqrt.f64 8) 1)
(sqrt.f64 8)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 6)
(sqrt.f64 8)
(pow.f64 (sqrt.f64 (sqrt.f64 8)) 2)
(sqrt.f64 8)
(pow.f64 4 3/4)
(sqrt.f64 8)
(pow.f64 8 1/2)
(sqrt.f64 8)
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 8)) 0))
(sqrt.f64 8)
(neg.f64 (neg.f64 (sqrt.f64 8)))
(sqrt.f64 8)
(sqrt.f64 8)
(cbrt.f64 (pow.f64 2 9/2))
(sqrt.f64 8)
(fabs.f64 (sqrt.f64 8))
(sqrt.f64 8)
(exp.f64 (*.f64 (log.f64 2) 3/2))
(sqrt.f64 8)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(cbrt.f64 16)
Compiler

Compiled 19 to 19 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0
Compiler

Compiled 10 to 10 computations (0% saved)

rewrite84.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
110×egg-rr
Counts
1 → 110
Calls
Call 1
Inputs
(cbrt.f64 16)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 16 0) (cbrt.f64 16) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (cbrt.f64 16)) 0) (cbrt.f64 16) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 16) 0) (cbrt.f64 16) (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 3/2) (*.f64 (cbrt.f64 (*.f64 16 1/27)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 16) 1/2) (*.f64 (cbrt.f64 16) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 16 1/27)) (*.f64 (cbrt.f64 16) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cbrt.f64 16) 2/3) (cbrt.f64 (*.f64 16 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3/2 (cbrt.f64 (*.f64 16 1/27))) (*.f64 3/2 (cbrt.f64 (*.f64 16 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cbrt.f64 16)) (*.f64 1/2 (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cbrt.f64 (*.f64 16 1/27)) (*.f64 2/3 (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/3 (cbrt.f64 16)) (cbrt.f64 (*.f64 16 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 4) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 16 1/27) (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 256)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 256)) (cbrt.f64 (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 256))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))) (pow.f64 16 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1024)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 4)) (*.f64 -1 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 1024)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 4) -1) (*.f64 (cbrt.f64 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 16 1/27)) (fabs.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 256))) (fabs.f64 (cbrt.f64 (cbrt.f64 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 16))) (fabs.f64 (cbrt.f64 (cbrt.f64 256))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 (cbrt.f64 (*.f64 27 (cbrt.f64 16))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 16/3) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 16 1/27)) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 256)) (pow.f64 65536 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 16) (pow.f64 4096 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4 1/9) (pow.f64 1024 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1024 1/9) (pow.f64 4 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 16/3 1/3) (cbrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/3 1/9) (pow.f64 12288 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 65536))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16 1/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (cbrt.f64 (*.f64 16 1/27)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (*.f64 16 1/27))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (cbrt.f64 48))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/3) (pow.f64 48 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (cbrt.f64 (*.f64 27 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 27 16)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (fabs.f64 (cbrt.f64 (*.f64 27 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/9) (pow.f64 12 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 16) -3) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 16) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (cbrt.f64 (*.f64 27 16))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2/3 (cbrt.f64 (*.f64 27 16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -3 (cbrt.f64 16)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cbrt.f64 16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 9) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 27 16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 27 16))) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 27 16))) (cbrt.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 16 1/27)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 16 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 16)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 16) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 16)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 256 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4096 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4096 (*.f64 2 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 256 (*.f64 2 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (log.f64 16) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log.f64 16) (sqrt.f64 1/3))) (sqrt.f64 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 16) 1/3))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 16) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 16777216 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 65536 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4096 (*.f64 1/18 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4096 (*.f64 1/6 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4096 (*.f64 2/3 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 64 2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 64 (*.f64 2 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 (*.f64 4 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 256 (*.f64 3/2 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 256 (*.f64 1/12 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 256 (*.f64 1/4 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 68719476736 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 16 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log.f64 16) (cbrt.f64 1/3))) (cbrt.f64 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1/3 (cbrt.f64 (*.f64 27 16))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cbrt.f64 16) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 256))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 16)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 16))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 16) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 16) 1/6) (*.f64 (log.f64 4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 4) 1/3) (*.f64 (log.f64 16) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 256) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 4096) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 4) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 16) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 4) 2/3))))))

simplify496.0ms (3.6%)

Algorithm
egglog
Counts
110 → 120
Calls
Call 1
Inputs
(if (!=.f64 16 0) (cbrt.f64 16) (cbrt.f64 16))
(if (!=.f64 (cbrt.f64 (cbrt.f64 16)) 0) (cbrt.f64 16) (cbrt.f64 16))
(if (!=.f64 (cbrt.f64 16) 0) (cbrt.f64 16) (cbrt.f64 16))
(+.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 3/2) (*.f64 (cbrt.f64 (*.f64 16 1/27)) 3/2))
(+.f64 (*.f64 (cbrt.f64 16) 1/2) (*.f64 (cbrt.f64 16) 1/2))
(+.f64 (cbrt.f64 (*.f64 16 1/27)) (*.f64 (cbrt.f64 16) 2/3))
(+.f64 (*.f64 (cbrt.f64 16) 2/3) (cbrt.f64 (*.f64 16 1/27)))
(+.f64 (*.f64 3/2 (cbrt.f64 (*.f64 16 1/27))) (*.f64 3/2 (cbrt.f64 (*.f64 16 1/27))))
(+.f64 (*.f64 1/2 (cbrt.f64 16)) (*.f64 1/2 (cbrt.f64 16)))
(+.f64 (cbrt.f64 (*.f64 16 1/27)) (*.f64 2/3 (cbrt.f64 16)))
(+.f64 (*.f64 2/3 (cbrt.f64 16)) (cbrt.f64 (*.f64 16 1/27)))
(*.f64 (cbrt.f64 4) (cbrt.f64 4))
(*.f64 (pow.f64 16 1/27) (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 256)))
(*.f64 (cbrt.f64 (cbrt.f64 256)) (cbrt.f64 (cbrt.f64 16)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 256))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))) (pow.f64 16 1/27))
(*.f64 2 (cbrt.f64 2))
(*.f64 (cbrt.f64 2) 2)
(*.f64 (cbrt.f64 (cbrt.f64 1024)) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (*.f64 -1 (cbrt.f64 4)) (*.f64 -1 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 1024)))
(*.f64 (*.f64 (cbrt.f64 4) -1) (*.f64 (cbrt.f64 4) -1))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))))
(*.f64 (fabs.f64 (pow.f64 16 1/27)) (fabs.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16))))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 256))) (fabs.f64 (cbrt.f64 (cbrt.f64 16))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 16))) (fabs.f64 (cbrt.f64 (cbrt.f64 256))))
(*.f64 1/27 (pow.f64 (cbrt.f64 (*.f64 27 (cbrt.f64 16))) 3))
(*.f64 (cbrt.f64 16/3) (cbrt.f64 3))
(*.f64 (cbrt.f64 (pow.f64 16 1/27)) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 256)) (pow.f64 65536 2/3)))))
(*.f64 (cbrt.f64 16) (pow.f64 4096 0))
(*.f64 (pow.f64 4 1/9) (pow.f64 1024 1/9))
(*.f64 (pow.f64 1024 1/9) (pow.f64 4 1/9))
(*.f64 (pow.f64 16/3 1/3) (cbrt.f64 3))
(*.f64 (pow.f64 1/3 1/9) (pow.f64 12288 1/9))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 65536))))
(*.f64 (cbrt.f64 (*.f64 16 1/27)) 3)
(*.f64 3 (cbrt.f64 (*.f64 16 1/27)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 16 1/27))) 3)
(*.f64 (cbrt.f64 1/3) (cbrt.f64 48))
(*.f64 (cbrt.f64 1/3) (pow.f64 48 1/3))
(*.f64 1/3 (cbrt.f64 (*.f64 27 16)))
(*.f64 1 (cbrt.f64 16))
(*.f64 (cbrt.f64 16) 1)
(*.f64 (cbrt.f64 (*.f64 27 16)) 1/3)
(*.f64 1/3 (fabs.f64 (cbrt.f64 (*.f64 27 16))))
(*.f64 (cbrt.f64 1/9) (pow.f64 12 2/3))
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) -3) -1)
(/.f64 (*.f64 (cbrt.f64 16) -3) -3)
(/.f64 (*.f64 (cbrt.f64 16) 2) 2)
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 27 16))) -3)
(/.f64 (*.f64 2/3 (cbrt.f64 (*.f64 27 16))) 2)
(/.f64 (*.f64 -3 (cbrt.f64 16)) -3)
(/.f64 (*.f64 2 (cbrt.f64 16)) 2)
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 9) 3)
(/.f64 (cbrt.f64 (*.f64 27 16)) 3)
(/.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 27 16))) (sqrt.f64 3))
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 1) 1/3)
(/.f64 (cbrt.f64 16) 1)
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 27 16))) (cbrt.f64 9))
(/.f64 (cbrt.f64 (*.f64 16 1/27)) 1/3)
(/.f64 1 (pow.f64 16 -1/3))
(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 16)) -3))
(/.f64 1 (pow.f64 (cbrt.f64 16) -1))
(pow.f64 (cbrt.f64 (cbrt.f64 16)) 3)
(pow.f64 (cbrt.f64 4) 2)
(pow.f64 256 1/6)
(pow.f64 4 2/3)
(pow.f64 4096 1/9)
(pow.f64 4096 (*.f64 2 1/18))
(pow.f64 256 (*.f64 2 1/12))
(pow.f64 (exp.f64 1) (*.f64 (log.f64 16) 1/3))
(pow.f64 (exp.f64 (*.f64 (log.f64 16) (sqrt.f64 1/3))) (sqrt.f64 1/3))
(pow.f64 (exp.f64 1/3) (log.f64 16))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 16) 1/3))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 16) 1/3)) 2))
(pow.f64 16777216 1/18)
(pow.f64 65536 1/12)
(pow.f64 4096 (*.f64 1/18 2))
(pow.f64 4096 (*.f64 1/6 2/3))
(pow.f64 4096 (*.f64 2/3 1/6))
(pow.f64 64 2/9)
(pow.f64 64 (*.f64 2 1/9))
(pow.f64 2 4/3)
(pow.f64 4 (*.f64 4 1/6))
(pow.f64 256 (*.f64 3/2 1/9))
(pow.f64 256 (*.f64 1/12 2))
(pow.f64 256 (*.f64 1/4 2/3))
(pow.f64 68719476736 1/27)
(pow.f64 (cbrt.f64 16) 1)
(pow.f64 16 1/3)
(pow.f64 (exp.f64 (*.f64 (log.f64 16) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(neg.f64 (*.f64 -1/3 (cbrt.f64 (*.f64 27 16))))
(neg.f64 (*.f64 -1 (cbrt.f64 16)))
(neg.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) -3))
(neg.f64 (*.f64 (cbrt.f64 16) -1))
(sqrt.f64 (cbrt.f64 256))
(cbrt.f64 16)
(fabs.f64 (cbrt.f64 16))
(exp.f64 (*.f64 (log.f64 16) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 16) 1/6) (*.f64 (log.f64 4) 1/3)))
(exp.f64 (+.f64 (*.f64 (log.f64 4) 1/3) (*.f64 (log.f64 16) 1/6)))
(exp.f64 (*.f64 (log.f64 256) 1/6))
(exp.f64 (*.f64 (log.f64 4096) 1/9))
(exp.f64 (*.f64 (*.f64 (log.f64 4) 1/3) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 16) 1/6) 2))
(exp.f64 (*.f64 (log.f64 4) 2/3))
Outputs
(if (!=.f64 16 0) (cbrt.f64 16) (cbrt.f64 16))
(if (!=.f64 (cbrt.f64 (cbrt.f64 16)) 0) (cbrt.f64 16) (cbrt.f64 16))
(if (!=.f64 (cbrt.f64 16) 0) (cbrt.f64 16) (cbrt.f64 16))
(+.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 3/2) (*.f64 (cbrt.f64 (*.f64 16 1/27)) 3/2))
(cbrt.f64 16)
(+.f64 (*.f64 (cbrt.f64 16) 1/2) (*.f64 (cbrt.f64 16) 1/2))
(cbrt.f64 16)
(+.f64 (cbrt.f64 (*.f64 16 1/27)) (*.f64 (cbrt.f64 16) 2/3))
(fma.f64 (cbrt.f64 16) 2/3 (cbrt.f64 16/27))
(+.f64 (*.f64 (cbrt.f64 16) 2/3) (cbrt.f64 (*.f64 16 1/27)))
(fma.f64 (cbrt.f64 16) 2/3 (cbrt.f64 16/27))
(+.f64 (*.f64 3/2 (cbrt.f64 (*.f64 16 1/27))) (*.f64 3/2 (cbrt.f64 (*.f64 16 1/27))))
(cbrt.f64 16)
(+.f64 (*.f64 1/2 (cbrt.f64 16)) (*.f64 1/2 (cbrt.f64 16)))
(cbrt.f64 16)
(+.f64 (cbrt.f64 (*.f64 16 1/27)) (*.f64 2/3 (cbrt.f64 16)))
(fma.f64 (cbrt.f64 16) 2/3 (cbrt.f64 16/27))
(+.f64 (*.f64 2/3 (cbrt.f64 16)) (cbrt.f64 (*.f64 16 1/27)))
(fma.f64 (cbrt.f64 16) 2/3 (cbrt.f64 16/27))
(*.f64 (cbrt.f64 4) (cbrt.f64 4))
(cbrt.f64 16)
(*.f64 (pow.f64 16 1/27) (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))))
(*.f64 (pow.f64 256 1/54) (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))))
(*.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 256)))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (cbrt.f64 256)) (cbrt.f64 (cbrt.f64 16)))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 256))))
(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 256) (cbrt.f64 268435456))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16)))))
(cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 256) (cbrt.f64 268435456))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))) (pow.f64 16 1/27))
(*.f64 (pow.f64 256 1/54) (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3))))
(*.f64 2 (cbrt.f64 2))
(cbrt.f64 16)
(*.f64 (cbrt.f64 2) 2)
(cbrt.f64 16)
(*.f64 (cbrt.f64 (cbrt.f64 1024)) (cbrt.f64 (cbrt.f64 4)))
(cbrt.f64 16)
(*.f64 (*.f64 -1 (cbrt.f64 4)) (*.f64 -1 (cbrt.f64 4)))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 1024)))
(cbrt.f64 16)
(*.f64 (*.f64 (cbrt.f64 4) -1) (*.f64 (cbrt.f64 4) -1))
(cbrt.f64 16)
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 268435456)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))))
(*.f64 (fabs.f64 (pow.f64 16 1/27)) (fabs.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3)))))
(*.f64 (pow.f64 256 1/54) (fabs.f64 (cbrt.f64 (cbrt.f64 (pow.f64 65536 2/3)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 16777216 16))))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 268435456)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 256)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 256))) (fabs.f64 (cbrt.f64 (cbrt.f64 16))))
(cbrt.f64 16)
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096))))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1048576)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536)))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 16))) (fabs.f64 (cbrt.f64 (cbrt.f64 256))))
(cbrt.f64 16)
(*.f64 1/27 (pow.f64 (cbrt.f64 (*.f64 27 (cbrt.f64 16))) 3))
(*.f64 1/27 (cbrt.f64 (*.f64 19683 16)))
(*.f64 (cbrt.f64 16/3) (cbrt.f64 3))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (pow.f64 16 1/27)) (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 256)) (pow.f64 65536 2/3)))))
(cbrt.f64 (*.f64 (pow.f64 256 1/54) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 65536 65536) (cbrt.f64 256))))))
(*.f64 (cbrt.f64 16) (pow.f64 4096 0))
(cbrt.f64 16)
(*.f64 (pow.f64 4 1/9) (pow.f64 1024 1/9))
(cbrt.f64 16)
(*.f64 (pow.f64 1024 1/9) (pow.f64 4 1/9))
(cbrt.f64 16)
(*.f64 (pow.f64 16/3 1/3) (cbrt.f64 3))
(cbrt.f64 16)
(*.f64 (pow.f64 1/3 1/9) (pow.f64 12288 1/9))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 65536))))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (*.f64 16 1/27)) 3)
(cbrt.f64 16)
(*.f64 3 (cbrt.f64 (*.f64 16 1/27)))
(cbrt.f64 16)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 65536))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 256 4096)))))
(cbrt.f64 16)
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 16 1/27))) 3)
(cbrt.f64 16)
(*.f64 (cbrt.f64 1/3) (cbrt.f64 48))
(cbrt.f64 16)
(*.f64 (cbrt.f64 1/3) (pow.f64 48 1/3))
(cbrt.f64 16)
(*.f64 1/3 (cbrt.f64 (*.f64 27 16)))
(cbrt.f64 16)
(*.f64 1 (cbrt.f64 16))
(cbrt.f64 16)
(*.f64 (cbrt.f64 16) 1)
(cbrt.f64 16)
(*.f64 (cbrt.f64 (*.f64 27 16)) 1/3)
(cbrt.f64 16)
(*.f64 1/3 (fabs.f64 (cbrt.f64 (*.f64 27 16))))
(cbrt.f64 16)
(*.f64 (cbrt.f64 1/9) (pow.f64 12 2/3))
(cbrt.f64 (*.f64 1/9 (*.f64 12 12)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) -3) -1)
(cbrt.f64 16)
(/.f64 (*.f64 (cbrt.f64 16) -3) -3)
(cbrt.f64 16)
(/.f64 (*.f64 (cbrt.f64 16) 2) 2)
(cbrt.f64 16)
(/.f64 (*.f64 -1 (cbrt.f64 (*.f64 27 16))) -3)
(cbrt.f64 16)
(/.f64 (*.f64 2/3 (cbrt.f64 (*.f64 27 16))) 2)
(cbrt.f64 16)
(/.f64 (*.f64 -3 (cbrt.f64 16)) -3)
(cbrt.f64 16)
(/.f64 (*.f64 2 (cbrt.f64 16)) 2)
(cbrt.f64 16)
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 9) 3)
(cbrt.f64 16)
(/.f64 (cbrt.f64 (*.f64 27 16)) 3)
(cbrt.f64 16)
(/.f64 (*.f64 (sqrt.f64 1/3) (cbrt.f64 (*.f64 27 16))) (sqrt.f64 3))
(cbrt.f64 16)
(/.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) 1) 1/3)
(cbrt.f64 16)
(/.f64 (cbrt.f64 16) 1)
(cbrt.f64 16)
(/.f64 (*.f64 (cbrt.f64 1/3) (cbrt.f64 (*.f64 27 16))) (cbrt.f64 9))
(cbrt.f64 16)
(/.f64 (cbrt.f64 (*.f64 16 1/27)) 1/3)
(cbrt.f64 16)
(/.f64 1 (pow.f64 16 -1/3))
(cbrt.f64 16)
(/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 16)) -3))
(/.f64 1 (pow.f64 (cbrt.f64 16) -1))
(cbrt.f64 16)
(pow.f64 (cbrt.f64 (cbrt.f64 16)) 3)
(cbrt.f64 16)
(pow.f64 (cbrt.f64 4) 2)
(cbrt.f64 16)
(pow.f64 256 1/6)
(cbrt.f64 16)
(pow.f64 4 2/3)
(cbrt.f64 16)
(pow.f64 4096 1/9)
(cbrt.f64 16)
(pow.f64 4096 (*.f64 2 1/18))
(cbrt.f64 16)
(pow.f64 256 (*.f64 2 1/12))
(cbrt.f64 16)
(pow.f64 (exp.f64 1) (*.f64 (log.f64 16) 1/3))
(cbrt.f64 16)
(pow.f64 (exp.f64 (*.f64 (log.f64 16) (sqrt.f64 1/3))) (sqrt.f64 1/3))
(cbrt.f64 16)
(pow.f64 (exp.f64 1/3) (log.f64 16))
(cbrt.f64 16)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 16) 1/3))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 16) 1/3)) 2))
(cbrt.f64 16)
(pow.f64 16777216 1/18)
(cbrt.f64 16)
(pow.f64 65536 1/12)
(cbrt.f64 16)
(pow.f64 4096 (*.f64 1/18 2))
(cbrt.f64 16)
(pow.f64 4096 (*.f64 1/6 2/3))
(cbrt.f64 16)
(pow.f64 4096 (*.f64 2/3 1/6))
(cbrt.f64 16)
(pow.f64 64 2/9)
(cbrt.f64 16)
(pow.f64 64 (*.f64 2 1/9))
(cbrt.f64 16)
(pow.f64 2 4/3)
(cbrt.f64 16)
(pow.f64 4 (*.f64 4 1/6))
(cbrt.f64 16)
(pow.f64 256 (*.f64 3/2 1/9))
(cbrt.f64 16)
(pow.f64 256 (*.f64 1/12 2))
(cbrt.f64 16)
(pow.f64 256 (*.f64 1/4 2/3))
(cbrt.f64 16)
(pow.f64 68719476736 1/27)
(pow.f64 4722366482869645213696 1/54)
(pow.f64 (cbrt.f64 16) 1)
(cbrt.f64 16)
(pow.f64 16 1/3)
(cbrt.f64 16)
(pow.f64 (exp.f64 (*.f64 (log.f64 16) (cbrt.f64 1/3))) (cbrt.f64 1/9))
(cbrt.f64 16)
(neg.f64 (*.f64 -1/3 (cbrt.f64 (*.f64 27 16))))
(cbrt.f64 16)
(neg.f64 (*.f64 -1 (cbrt.f64 16)))
(cbrt.f64 16)
(neg.f64 (*.f64 (cbrt.f64 (*.f64 16 1/27)) -3))
(cbrt.f64 16)
(neg.f64 (*.f64 (cbrt.f64 16) -1))
(cbrt.f64 16)
(sqrt.f64 (cbrt.f64 256))
(cbrt.f64 16)
(cbrt.f64 16)
(fabs.f64 (cbrt.f64 16))
(cbrt.f64 16)
(exp.f64 (*.f64 (log.f64 16) 1/3))
(cbrt.f64 16)
(exp.f64 (+.f64 (*.f64 (log.f64 16) 1/6) (*.f64 (log.f64 4) 1/3)))
(cbrt.f64 16)
(exp.f64 (+.f64 (*.f64 (log.f64 4) 1/3) (*.f64 (log.f64 16) 1/6)))
(cbrt.f64 16)
(exp.f64 (*.f64 (log.f64 256) 1/6))
(cbrt.f64 16)
(exp.f64 (*.f64 (log.f64 4096) 1/9))
(cbrt.f64 16)
(exp.f64 (*.f64 (*.f64 (log.f64 4) 1/3) 2))
(cbrt.f64 16)
(exp.f64 (*.f64 (*.f64 (log.f64 16) 1/6) 2))
(cbrt.f64 16)
(exp.f64 (*.f64 (log.f64 4) 2/3))
(cbrt.f64 16)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.0b
(pow.f64 512 1/18)
Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts
1 → 0
Compiler

Compiled 10 to 10 computations (0% saved)

rewrite200.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
118×egg-rr
Counts
1 → 118
Calls
Call 1
Inputs
(pow.f64 512 1/18)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 262144 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 512 0) (sqrt.f64 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (pow.f64 262144 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 134217728 1/72) (pow.f64 262144 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 262144 1/216) (pow.f64 (*.f64 262144 134217728) 1/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 262144 1/144) (pow.f64 134217728 1/72))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 262144 1/216) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 262144 1/144))) (cbrt.f64 (pow.f64 262144 1/144)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 262144 1/216))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) 1) (pow.f64 262144 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) 1) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (cbrt.f64 (cbrt.f64 16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 262144 1/144)) (*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 262144 1/144)) (*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (pow.f64 (*.f64 262144 134217728) 1/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (pow.f64 (*.f64 262144 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262144 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 262144 1/144) (sqrt.f64 (sqrt.f64 (sqrt.f64 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/54) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 1 1/54))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 8)) (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 36 (sqrt.f64 (/.f64 2 1/324)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/18 (sqrt.f64 1/648))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/18) (log.f64 512))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 512) 1/18))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 512) 1/18) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (log.f64 512) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 134217728 1/54)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 512 (sqrt.f64 1/18)) (sqrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 512 (cbrt.f64 1/18)) (cbrt.f64 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 512 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 8 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 8)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 134217728 (*.f64 2 1/108))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 1/18)) (*.f64 (log.f64 512) (sqrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 512) 1/18) 2))) (cbrt.f64 (*.f64 (log.f64 512) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (*.f64 1/108 (log.f64 134217728)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (sqrt.f64 1/18)) (cbrt.f64 (sqrt.f64 1/18)))) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (log.f64 512) (cbrt.f64 1/324))) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (cbrt.f64 1/18)) (cbrt.f64 1/18))) (cbrt.f64 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (sqrt.f64 1/18)) (sqrt.f64 (sqrt.f64 1/18)))) (sqrt.f64 (sqrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 1/18)) (*.f64 (log.f64 512) (cbrt.f64 1/324)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (log.f64 512))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 512) 2)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 1/324)) (*.f64 (log.f64 512) (cbrt.f64 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 18014398509481984 1/108)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 262144 (*.f64 3/2 1/54))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 512 (*.f64 1/54 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 134217728 (*.f64 2/3 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 134217728 (*.f64 1/108 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 134217728 (*.f64 1/54 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 262144 (-.f64 1/18 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 512 (-.f64 1/9 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 (-.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 68719476736 1/72)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 262144 1/144) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/5832 (log.f64 512)))) (cbrt.f64 (pow.f64 (log.f64 512) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324)))) (cbrt.f64 (cbrt.f64 1/104976)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 4 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 262144 1/36)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 8 (sqrt.f64 8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 512) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 512) 1/18) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 2) (*.f64 (log.f64 512) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 512) 1/18) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 134217728) 1/54))))))

simplify686.0ms (5%)

Algorithm
egglog
Counts
118 → 132
Calls
Call 1
Inputs
(if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 262144 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 512 0) (sqrt.f64 2) (sqrt.f64 2))
(+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))
(+.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 1/2 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (pow.f64 262144 1/216))
(*.f64 (pow.f64 134217728 1/72) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/216) (pow.f64 (*.f64 262144 134217728) 1/108))
(*.f64 (pow.f64 262144 1/144) (pow.f64 134217728 1/72))
(*.f64 (pow.f64 262144 1/216) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))))
(*.f64 1 (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 1)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2))))
(*.f64 2 (sqrt.f64 1/2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 262144 1/144))) (cbrt.f64 (pow.f64 262144 1/144)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 262144 1/216))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) 1) (pow.f64 262144 1/216))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) 1) (cbrt.f64 (cbrt.f64 2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (sqrt.f64 1/2) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 16))))
(*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (cbrt.f64 (cbrt.f64 16))))
(*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))
(*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))
(*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (pow.f64 (*.f64 262144 134217728) 1/108)))
(*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (pow.f64 (*.f64 262144 134217728) 1/108)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))
(*.f64 6 (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) 6)
(*.f64 (fabs.f64 (cbrt.f64 2)) (fabs.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 2))) (fabs.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))
(*.f64 (fabs.f64 (pow.f64 262144 1/216)) (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))
(*.f64 (fabs.f64 (pow.f64 262144 1/216)) (fabs.f64 (pow.f64 (*.f64 262144 134217728) 1/108)))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))) (fabs.f64 (pow.f64 262144 1/216)))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 4))))
(*.f64 (fabs.f64 (pow.f64 134217728 1/72)) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/144) (fabs.f64 (pow.f64 134217728 1/72)))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 2))) (fabs.f64 (cbrt.f64 2)))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2))))) (fabs.f64 (cbrt.f64 (cbrt.f64 2))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 16))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 8))) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/144) (sqrt.f64 (sqrt.f64 (sqrt.f64 8))))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))))
(*.f64 (pow.f64 1 1/54) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 1 1/54))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 16)))
(*.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (sqrt.f64 2))))
(/.f64 (sqrt.f64 (sqrt.f64 8)) (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))))
(/.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (sqrt.f64 2) 1)
(/.f64 2 (sqrt.f64 2))
(/.f64 1 (sqrt.f64 1/2))
(/.f64 36 (sqrt.f64 (/.f64 2 1/324)))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(/.f64 1/18 (sqrt.f64 1/648))
(pow.f64 (exp.f64 1/18) (log.f64 512))
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 512) 1/18))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 512) 1/18) 2)))
(pow.f64 (E.f64) (*.f64 (log.f64 512) 1/18))
(pow.f64 134217728 1/54)
(pow.f64 (pow.f64 512 (sqrt.f64 1/18)) (sqrt.f64 1/18))
(pow.f64 (pow.f64 512 (cbrt.f64 1/18)) (cbrt.f64 1/324))
(pow.f64 512 1/18)
(pow.f64 (sqrt.f64 2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(pow.f64 2 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(pow.f64 8 1/6)
(pow.f64 (sqrt.f64 (sqrt.f64 8)) 2/3)
(pow.f64 134217728 (*.f64 2 1/108))
(pow.f64 (exp.f64 (sqrt.f64 1/18)) (*.f64 (log.f64 512) (sqrt.f64 1/18)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 512) 1/18) 2))) (cbrt.f64 (*.f64 (log.f64 512) 1/18)))
(pow.f64 (exp.f64 2) (*.f64 1/108 (log.f64 134217728)))
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (sqrt.f64 1/18)) (cbrt.f64 (sqrt.f64 1/18)))) (cbrt.f64 1/18))
(pow.f64 (exp.f64 (*.f64 (log.f64 512) (cbrt.f64 1/324))) (cbrt.f64 1/18))
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (cbrt.f64 1/18)) (cbrt.f64 1/18))) (cbrt.f64 1/18))
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (sqrt.f64 1/18)) (sqrt.f64 (sqrt.f64 1/18)))) (sqrt.f64 (sqrt.f64 1/18)))
(pow.f64 (exp.f64 (cbrt.f64 1/18)) (*.f64 (log.f64 512) (cbrt.f64 1/324)))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 512))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 512) 2)) 1/18))
(pow.f64 (exp.f64 (cbrt.f64 1/324)) (*.f64 (log.f64 512) (cbrt.f64 1/18)))
(pow.f64 18014398509481984 1/108)
(pow.f64 262144 (*.f64 3/2 1/54))
(pow.f64 512 (*.f64 1/54 3))
(pow.f64 134217728 (*.f64 2/3 1/36))
(pow.f64 134217728 (*.f64 1/108 2))
(pow.f64 134217728 (*.f64 1/54 1))
(pow.f64 262144 (-.f64 1/18 1/36))
(pow.f64 512 (-.f64 1/9 1/18))
(pow.f64 2 (-.f64 1 1/2))
(pow.f64 (sqrt.f64 8) 1/3)
(pow.f64 68719476736 1/72)
(pow.f64 (pow.f64 262144 1/144) 4)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/5832 (log.f64 512)))) (cbrt.f64 (pow.f64 (log.f64 512) 2)))
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324)))) (cbrt.f64 (cbrt.f64 1/104976)))
(pow.f64 4 1/4)
(pow.f64 262144 1/36)
(hypot.f64 1 1)
(neg.f64 (/.f64 -2 (sqrt.f64 2)))
(sqrt.f64 2)
(cbrt.f64 (/.f64 8 (sqrt.f64 8)))
(cbrt.f64 (sqrt.f64 8))
(fabs.f64 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 512) 1/18))
(exp.f64 (-.f64 (*.f64 (log.f64 512) 1/18) 0))
(exp.f64 (-.f64 (log.f64 2) (*.f64 (log.f64 512) 1/18)))
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 512) 1/18) 3) 3))
(exp.f64 (*.f64 (log.f64 2) 1/2))
(exp.f64 (*.f64 (log.f64 134217728) 1/54))
Outputs
(if (!=.f64 1 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 2 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 (sqrt.f64 (sqrt.f64 2)) 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 262144 0) (sqrt.f64 2) (sqrt.f64 2))
(if (!=.f64 512 0) (sqrt.f64 2) (sqrt.f64 2))
(+.f64 (sqrt.f64 1/2) (sqrt.f64 1/2))
(sqrt.f64 2)
(+.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 1/2 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 4)))
(cbrt.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 16 2))) (cbrt.f64 4)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (pow.f64 262144 1/216))
(sqrt.f64 2)
(*.f64 (pow.f64 134217728 1/72) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/216) (pow.f64 (*.f64 262144 134217728) 1/108))
(*.f64 (pow.f64 262144 1/216) (pow.f64 35184372088832 1/108))
(*.f64 (pow.f64 262144 1/144) (pow.f64 134217728 1/72))
(*.f64 (pow.f64 134217728 1/72) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/216) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))))
(sqrt.f64 2)
(*.f64 1 (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(*.f64 (sqrt.f64 (sqrt.f64 2)) (sqrt.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2))
(sqrt.f64 2)
(*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2))))
(sqrt.f64 2)
(*.f64 2 (sqrt.f64 1/2))
(sqrt.f64 2)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 262144 1/144))) (cbrt.f64 (pow.f64 262144 1/144)))
(cbrt.f64 (*.f64 (*.f64 2 (pow.f64 262144 (*.f64 1/144 3))) (pow.f64 262144 1/144)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) (cbrt.f64 (pow.f64 262144 1/216))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2)))) 1) (pow.f64 262144 1/216))
(sqrt.f64 2)
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) 1) (cbrt.f64 (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 2)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 4))))
(cbrt.f64 (*.f64 (*.f64 2 (cbrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 16 2))))) (cbrt.f64 (cbrt.f64 4))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(*.f64 (sqrt.f64 1/2) 2)
(sqrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 16))))
(cbrt.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 (cbrt.f64 2) 16))))
(*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (cbrt.f64 (cbrt.f64 16))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 262144 1/216)) 2) (cbrt.f64 (cbrt.f64 16)))
(*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))
(cbrt.f64 (*.f64 (*.f64 2 (pow.f64 262144 (*.f64 1/144 3))) (pow.f64 262144 1/144)))
(*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (*.f64 (cbrt.f64 (pow.f64 262144 1/144)) (pow.f64 (*.f64 262144 134217728) 1/108)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 262144 1/144)) 2) (pow.f64 35184372088832 1/108))
(*.f64 (cbrt.f64 (pow.f64 262144 1/216)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (pow.f64 (*.f64 262144 134217728) 1/108)))
(*.f64 (pow.f64 262144 1/216) (pow.f64 35184372088832 1/108))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))
(cbrt.f64 (*.f64 (*.f64 2 (cbrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 16 2))))) (cbrt.f64 (cbrt.f64 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))
(sqrt.f64 2)
(*.f64 6 (sqrt.f64 1/18))
(sqrt.f64 (*.f64 1/18 36))
(*.f64 (sqrt.f64 1/18) 6)
(sqrt.f64 (*.f64 1/18 36))
(*.f64 (fabs.f64 (cbrt.f64 2)) (fabs.f64 (cbrt.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 2))) (fabs.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 2))))
(*.f64 (fabs.f64 (pow.f64 262144 1/216)) (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))))
(*.f64 (pow.f64 262144 1/216) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 16 2))))))
(*.f64 (fabs.f64 (pow.f64 262144 1/216)) (fabs.f64 (pow.f64 (*.f64 262144 134217728) 1/108)))
(*.f64 (pow.f64 262144 1/216) (pow.f64 35184372088832 1/108))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (*.f64 4 (sqrt.f64 2))))) (fabs.f64 (pow.f64 262144 1/216)))
(*.f64 (pow.f64 262144 1/216) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 16 2))))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (cbrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 4))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 16 2))))) (fabs.f64 (cbrt.f64 (cbrt.f64 4))))
(*.f64 (fabs.f64 (pow.f64 134217728 1/72)) (pow.f64 262144 1/144))
(*.f64 (pow.f64 134217728 1/72) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/144) (fabs.f64 (pow.f64 134217728 1/72)))
(*.f64 (pow.f64 134217728 1/72) (pow.f64 262144 1/144))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 2))) (fabs.f64 (cbrt.f64 2)))
(sqrt.f64 2)
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2))))) (fabs.f64 (cbrt.f64 (cbrt.f64 2))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 2))))
(*.f64 (fabs.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (fabs.f64 (cbrt.f64 (cbrt.f64 16))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 8))) (pow.f64 262144 1/144))
(*.f64 (pow.f64 262144 1/144) (sqrt.f64 (sqrt.f64 (sqrt.f64 8))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 8))) (pow.f64 262144 1/144))
(*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (cbrt.f64 (sqrt.f64 2)))))
(sqrt.f64 2)
(*.f64 (pow.f64 1 1/54) (sqrt.f64 2))
(sqrt.f64 2)
(*.f64 (sqrt.f64 2) (pow.f64 1 1/54))
(sqrt.f64 2)
(*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 16)))
(cbrt.f64 (cbrt.f64 (*.f64 16 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (cbrt.f64 16)) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(cbrt.f64 (cbrt.f64 (*.f64 16 (sqrt.f64 2))))
(/.f64 (sqrt.f64 (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (sqrt.f64 (sqrt.f64 8)) (/.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (sqrt.f64 2))))
(sqrt.f64 2)
(/.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(/.f64 2 (sqrt.f64 2))
(sqrt.f64 2)
(/.f64 1 (sqrt.f64 1/2))
(sqrt.f64 2)
(/.f64 36 (sqrt.f64 (/.f64 2 1/324)))
(*.f64 36 (sqrt.f64 1/648))
(/.f64 -2 (neg.f64 (sqrt.f64 2)))
(sqrt.f64 2)
(/.f64 (neg.f64 (sqrt.f64 2)) -1)
(sqrt.f64 2)
(/.f64 1/18 (sqrt.f64 1/648))
(sqrt.f64 (/.f64 1/324 1/648))
(pow.f64 (exp.f64 1/18) (log.f64 512))
(sqrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 (log.f64 512) 1/18))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 512) 1/18) 2)))
(sqrt.f64 2)
(pow.f64 (E.f64) (*.f64 (log.f64 512) 1/18))
(sqrt.f64 2)
(pow.f64 134217728 1/54)
(sqrt.f64 2)
(pow.f64 (pow.f64 512 (sqrt.f64 1/18)) (sqrt.f64 1/18))
(sqrt.f64 2)
(pow.f64 (pow.f64 512 (cbrt.f64 1/18)) (cbrt.f64 1/324))
(sqrt.f64 2)
(pow.f64 512 1/18)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 2) 1)
(sqrt.f64 2)
(pow.f64 (cbrt.f64 (sqrt.f64 2)) 3)
(sqrt.f64 2)
(pow.f64 2 1/2)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(sqrt.f64 2)
(pow.f64 8 1/6)
(sqrt.f64 2)
(pow.f64 (sqrt.f64 (sqrt.f64 8)) 2/3)
(sqrt.f64 2)
(pow.f64 134217728 (*.f64 2 1/108))
(sqrt.f64 2)
(pow.f64 (exp.f64 (sqrt.f64 1/18)) (*.f64 (log.f64 512) (sqrt.f64 1/18)))
(sqrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 512) 1/18) 2))) (cbrt.f64 (*.f64 (log.f64 512) 1/18)))
(sqrt.f64 2)
(pow.f64 (exp.f64 2) (*.f64 1/108 (log.f64 134217728)))
(sqrt.f64 2)
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (sqrt.f64 1/18)) (cbrt.f64 (sqrt.f64 1/18)))) (cbrt.f64 1/18))
(sqrt.f64 2)
(pow.f64 (exp.f64 (*.f64 (log.f64 512) (cbrt.f64 1/324))) (cbrt.f64 1/18))
(sqrt.f64 2)
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (cbrt.f64 1/18)) (cbrt.f64 1/18))) (cbrt.f64 1/18))
(sqrt.f64 2)
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (sqrt.f64 1/18)) (sqrt.f64 (sqrt.f64 1/18)))) (sqrt.f64 (sqrt.f64 1/18)))
(sqrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 1/18)) (*.f64 (log.f64 512) (cbrt.f64 1/324)))
(sqrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 512))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 512) 2)) 1/18))
(sqrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 1/324)) (*.f64 (log.f64 512) (cbrt.f64 1/18)))
(pow.f64 18014398509481984 1/108)
(sqrt.f64 2)
(pow.f64 262144 (*.f64 3/2 1/54))
(sqrt.f64 2)
(pow.f64 512 (*.f64 1/54 3))
(sqrt.f64 2)
(pow.f64 134217728 (*.f64 2/3 1/36))
(sqrt.f64 2)
(pow.f64 134217728 (*.f64 1/108 2))
(sqrt.f64 2)
(pow.f64 134217728 (*.f64 1/54 1))
(sqrt.f64 2)
(pow.f64 262144 (-.f64 1/18 1/36))
(sqrt.f64 2)
(pow.f64 512 (-.f64 1/9 1/18))
(sqrt.f64 2)
(pow.f64 2 (-.f64 1 1/2))
(sqrt.f64 2)
(pow.f64 (sqrt.f64 8) 1/3)
(sqrt.f64 2)
(pow.f64 68719476736 1/72)
(sqrt.f64 2)
(pow.f64 (pow.f64 262144 1/144) 4)
(sqrt.f64 2)
(pow.f64 (exp.f64 (cbrt.f64 (*.f64 1/5832 (log.f64 512)))) (cbrt.f64 (pow.f64 (log.f64 512) 2)))
(sqrt.f64 2)
(pow.f64 (exp.f64 (*.f64 (*.f64 (log.f64 512) (cbrt.f64 1/18)) (cbrt.f64 (cbrt.f64 1/324)))) (cbrt.f64 (cbrt.f64 1/104976)))
(sqrt.f64 2)
(pow.f64 4 1/4)
(sqrt.f64 2)
(pow.f64 262144 1/36)
(sqrt.f64 2)
(hypot.f64 1 1)
(sqrt.f64 2)
(neg.f64 (/.f64 -2 (sqrt.f64 2)))
(sqrt.f64 2)
(sqrt.f64 2)
(cbrt.f64 (/.f64 8 (sqrt.f64 8)))
(sqrt.f64 2)
(cbrt.f64 (sqrt.f64 8))
(sqrt.f64 2)
(fabs.f64 (sqrt.f64 2))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 512) 1/18))
(sqrt.f64 2)
(exp.f64 (-.f64 (*.f64 (log.f64 512) 1/18) 0))
(sqrt.f64 2)
(exp.f64 (-.f64 (log.f64 2) (*.f64 (log.f64 512) 1/18)))
(sqrt.f64 2)
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 512) 1/18) 3) 3))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 2) 1/2))
(sqrt.f64 2)
(exp.f64 (*.f64 (log.f64 134217728) 1/54))
(sqrt.f64 2)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 2 x))
0.6b
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
Compiler

Compiled 22 to 17 computations (22.7% saved)

series121.0ms (0.9%)

Counts
1 → 2
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
3.0ms
x
@-inf
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
Compiler

Compiled 3430 to 2720 computations (20.7% saved)

rewrite96.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
70×egg-rr
Counts
1 → 70
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) 2) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 2) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 4)) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 1/2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 1/2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (sqrt.f64 (+.f64 2 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (sqrt.f64 (+.f64 2 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (*.f64 -2 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) -2) (*.f64 2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2)) (sqrt.f64 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 4)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 2)) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 4) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 4 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4)) (cbrt.f64 (*.f64 4 8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 2 x)))))))

simplify440.0ms (3.2%)

Algorithm
egglog
Counts
72 → 78
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 1 0) (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 2 0) (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 2))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) 2))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)) (sqrt.f64 1/2))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 2)) (cbrt.f64 1/2))
(*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 1/2)
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 4)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) 2) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 2) (sqrt.f64 (+.f64 2 x))))
(*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 2 x))))
(*.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 4)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 4) 2)
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 1/2)) (cbrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 1/2)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 2 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) -2) -2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 8) 8)
(/.f64 (*.f64 -2 (sqrt.f64 (+.f64 2 x))) -2)
(/.f64 (*.f64 8 (sqrt.f64 (+.f64 2 x))) 8)
(/.f64 (*.f64 -2 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (*.f64 -2 2))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 8))
(/.f64 (*.f64 8 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) 16)
(/.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) 4)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) -2) (*.f64 2 -2))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2)) (sqrt.f64 8))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 8) 16)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2) 4)
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 4)
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) -2)
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 4) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 4 8)))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4)) (cbrt.f64 (*.f64 4 8)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) 4)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 1/2)
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
Outputs
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(fma.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 1/8) (*.f64 (neg.f64 1/16) (sqrt.f64 1/2))) (*.f64 1/16 (sqrt.f64 1/8))) (*.f64 x x) (+.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 1/8))))
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (pow.f64 x 3)) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 2) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2) (sqrt.f64 2))) (*.f64 1/16 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (pow.f64 (sqrt.f64 2) 2))))) (pow.f64 (/.f64 1/4 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 2)))) 2)) (pow.f64 x 2)) (+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 2)) 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(fma.f64 1/4 (pow.f64 (*.f64 x (sqrt.f64 1/8)) 3) (fma.f64 (-.f64 (fma.f64 1/16 (sqrt.f64 1/8) (*.f64 (neg.f64 1/16) (sqrt.f64 1/2))) (*.f64 1/16 (sqrt.f64 1/8))) (*.f64 x x) (+.f64 (sqrt.f64 2) (*.f64 x (sqrt.f64 1/8)))))
(if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 (sqrt.f64 (+.f64 2 x)) 0) (/.f64 -2 (/.f64 -2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 1 0) (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))
(if (!=.f64 2 0) (sqrt.f64 (+.f64 2 x)) (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4))
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) 2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (sqrt.f64 2)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)) (sqrt.f64 1/2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 2)) (cbrt.f64 1/2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 1/2)
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 4)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) 1/4))) (sqrt.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 3/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (pow.f64 (sqrt.f64 (+.f64 2 x)) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 2) 2) (cbrt.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 2 (*.f64 1/2 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 4)) (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 8) 1/4))) (sqrt.f64 (+.f64 2 x)))
(*.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 4) 2)
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 1/2)) (cbrt.f64 2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 1/2)) (sqrt.f64 2))
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) -2) -2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) 8) 8)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 -2 (sqrt.f64 (+.f64 2 x))) -2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 8 (sqrt.f64 (+.f64 2 x))) 8)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 -2 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (*.f64 -2 2))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (sqrt.f64 8))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 8 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) 16)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) 4)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) -2) (*.f64 2 -2))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2)) (sqrt.f64 8))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 8) 16)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2) 4)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 4)
(sqrt.f64 (+.f64 2 x))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x)))) -2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) 2)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 2)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) (*.f64 2 (sqrt.f64 (sqrt.f64 (+.f64 2 x))))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (cbrt.f64 4)) (cbrt.f64 4))
(sqrt.f64 (+.f64 2 x))
(/.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 (+.f64 2 x)) (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2))
(sqrt.f64 (+.f64 2 x))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4)) (cbrt.f64 2))
(sqrt.f64 (+.f64 2 x))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 2)) (cbrt.f64 4))
(sqrt.f64 (+.f64 2 x))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (cbrt.f64 4) (*.f64 2 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 4 8)))
(sqrt.f64 (+.f64 2 x))
(/.f64 (*.f64 (*.f64 2 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 4)) (cbrt.f64 (*.f64 4 8)))
(sqrt.f64 (+.f64 2 x))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x)))) 4)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2) 1/2)
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 2))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 2 x)) 3))
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))

eval408.0ms (3%)

Compiler

Compiled 6603 to 6330 computations (4.1% saved)

prune181.0ms (1.3%)

Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New5880588
Fresh000
Picked011
Done01010
Total58811599
Error
0b
Counts
599 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
24.1b
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
24.1b
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
19.7b
(pow.f64 512 1/18)
20.5b
(/.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))
20.1b
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
62.1b
(*.f64 (sqrt.f64 1/2) x)
0.0b
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
22.5b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
22.5b
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
23.5b
(sqrt.f64 (+.f64 2 x))
19.1b
(sqrt.f64 2)
Compiler

Compiled 92 to 78 computations (15.2% saved)

regimes35.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(pow.f64 512 1/18)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 1/2) x)
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(/.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) 2)
(sqrt.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (+.f64 x x)) 2)) (expm1.f64 x)) (cbrt.f64 (expm1.f64 (+.f64 x x)))))
Outputs
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))
Calls

3 calls:

16.0ms
x
6.0ms
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
6.0ms
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
0.0b1(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
Compiler

Compiled 163 to 120 computations (26.4% saved)

regimes20.0ms (0.1%)

Accuracy

Total -43.3b remaining (-226.2%)

Threshold costs -43.3b (-226.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(sqrt.f64 2)
(pow.f64 512 1/18)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 1/2) x)
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (*.f64 x x)) x)))
(if (!=.f64 (+.f64 2 x) 0) (/.f64 1 (pow.f64 (+.f64 2 x) -1/2)) (sqrt.f64 (+.f64 2 x)))
(/.f64 -4 (neg.f64 (pow.f64 (sqrt.f64 2) 3)))
(sqrt.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(sqrt.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
(pow.f64 (sqrt.f64 (sqrt.f64 2)) 2)
(/.f64 (sqrt.f64 512) (pow.f64 (cbrt.f64 16) 3))
(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 2 x))) 2)
Outputs
(sqrt.f64 2)
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
19.1b1x
Compiler

Compiled 90 to 74 computations (17.8% saved)

simplify1.0ms (0%)

Stop Event
done
Compiler

Compiled 12 to 9 computations (25% saved)

soundness0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

end28.0ms (0.2%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

Profiling

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