sqrt C (should all be same)

Time bar (total: 2.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

sample1.0s (34%)

Results
935.0ms8249×0valid
0.0ms0infinite
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 265.0ms
Operation ival-mult, time spent: 181.0ms, 68.0% of total-time
Operation ival-sqrt, time spent: 70.0ms, 26.0% of total-time
Operation const, time spent: 11.0ms, 4.0% of total-time
Operation backward-pass, time spent: 4.0ms, 2.0% of total-time
Bogosity

preprocess120.0ms (4.1%)

Algorithm
egg-herbie
Rules
64×fma-define
16×associate-*r*
13×distribute-lft-neg-in
13×associate-*l*
12×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-3(9.491549074187214e-161)(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
00-0-(*.f64 #s(literal 2 binary64) (*.f64 x x))
00-0-x
00-0-(*.f64 x x)
00-0-#s(literal 2 binary64)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01596
13096
26996
314496
421896
529396
629596
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))))
Symmetry

(abs x)

Compiler

Compiled 43 to 23 computations (46.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-mult, time spent: 10.0ms, 63.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 25.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize36.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (*.f64 x x))
54.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 18 to 9 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 12.0ms, 83.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

series6.0ms (0.2%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x x))>
Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt (* 2 (* x x)))
1.0ms
x
@inf
(* 2 (* x x))
1.0ms
x
@inf
(sqrt (* 2 (* x x)))
1.0ms
x
@0
(* 2 (* x x))
0.0ms
x
@-inf
(sqrt (* 2 (* x x)))

rewrite238.0ms (8.1%)

Algorithm
batch-egg-rewrite
Rules
441×unpow-prod-down
317×log1p-expm1-u
317×expm1-log1p-u
304×add-exp-log
286×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
18930
298130
Stop Event
node limit
Counts
2 → 94
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))

simplify174.0ms (5.9%)

Algorithm
egg-herbie
Rules
688×fma-neg
556×exp-sum
543×exp-diff
455×exp-prod
331×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02414294970461
13684294970443
28034294970384
324654294970384
442924294970384
574794294970384
Stop Event
node limit
Counts
118 → 136
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) (cbrt.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 x x))))
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(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))

eval97.0ms (3.3%)

Compiler

Compiled 1435 to 1127 computations (21.5% saved)

prune17.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1333136
Fresh000
Picked011
Done000
Total1334137
Accuracy
100.0%
Counts
137 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
54.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
19.2%
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
Compiler

Compiled 24 to 18 computations (25% saved)

localize113.0ms (3.8%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(hypot.f64 x x)
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
100.0%
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
65.6%
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
54.6%
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
Compiler

Compiled 38 to 28 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
Operation ival-pow, time spent: 19.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 16.0ms, 25.0% of total-time
Operation ival-mult, time spent: 13.0ms, 21.0% of total-time
Operation composed, time spent: 7.0ms, 11.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time
Operation ival-add, time spent: 1.0ms, 2.0% of total-time

series8.0ms (0.3%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))>
#<alt (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
#<alt (hypot.f64 x x)>
Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (pow x 6) 8)
0.0ms
x
@inf
(* (pow x 6) 8)
0.0ms
x
@-inf
(* (sqrt 2) x)
0.0ms
x
@0
(sqrt (cbrt (* (pow x 6) 8)))
0.0ms
x
@inf
(sqrt (cbrt (* (pow x 6) 8)))

rewrite106.0ms (3.6%)

Algorithm
batch-egg-rewrite
Rules
606×unpow-prod-down
476×log1p-expm1-u
476×expm1-log1p-u
418×pow1
289×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016108
117371
2203871
Stop Event
node limit
Counts
5 → 328
Calls
Call 1
Inputs
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(hypot.f64 x x)
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (hypot.f64 x x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (hypot.f64 x x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))

simplify329.0ms (11.2%)

Algorithm
egg-herbie
Rules
146×associate-*l*
143×associate-*r*
121×*-commutative
76×exp-prod
70×prod-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04554294976491
18094294976491
218554294976491
Stop Event
unsound
Counts
388 → 255
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
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(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 9 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (hypot.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x x))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 x x) #s(literal 1 binary64))
(*.f64 (hypot.f64 x x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (hypot.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 x x))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 x x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (hypot.f64 x x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))
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(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5/6 binary64)) #s(literal 1/6 binary64)) (pow.f64 (hypot.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x (hypot.f64 x x))))
(*.f64 (pow.f64 (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(hypot.f64 x x)
(*.f64 (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 x (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) x) #s(literal 1/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64))
(pow.f64 (hypot.f64 x x) #s(literal 1 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(hypot.f64 x x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) #s(literal 3 binary64))
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 512 binary64)) #s(literal 1/18 binary64))
(pow.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) #s(literal 2 binary64))
(hypot.f64 x x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(hypot.f64 x x)
(fabs.f64 (hypot.f64 x x))
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) #s(literal 3 binary64)))
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) #s(literal 3 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x x))) #s(literal 1/3 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) #s(literal 2 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(hypot.f64 x x)
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x)))
(*.f64 x (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (log.f64 x)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))

eval75.0ms (2.6%)

Compiler

Compiled 2721 to 2033 computations (25.3% saved)

prune36.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2541255
Fresh000
Picked123
Done101
Total2563259
Accuracy
100.0%
Counts
259 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.1%
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize86.0ms (2.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
98.4%
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
Compiler

Compiled 13 to 11 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
Operation ival-mult, time spent: 51.0ms, 81.0% of total-time
Operation ival-pow, time spent: 11.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series49.0ms (1.7%)

Counts
2 → 0
Calls
Call 1
Inputs
#<alt (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)>
Outputs
Calls

3 calls:

TimeVariablePointExpression
47.0ms
x
@0
(* (pow 8 1/6) x)
1.0ms
x
@inf
(* (pow 8 1/6) x)
0.0ms
x
@-inf
(* (pow 8 1/6) x)

rewrite65.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
509×associate-*r*
264×log1p-expm1-u
264×expm1-log1p-u
254×unpow-prod-down
251×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
17423
278623
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (cbrt.f64 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 8 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 64 binary64)) #s(literal 1/12 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))

simplify65.0ms (2.2%)

Algorithm
egg-herbie
Rules
422×associate-+l-
371×associate-+r-
318×fma-neg
310×fma-define
288×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01881800
13631420
28691389
333501389
Stop Event
node limit
Counts
63 → 87
Calls
Call 1
Inputs
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(sqrt.f64 (cbrt.f64 #s(literal 8 binary64)))
(fabs.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 8 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 8 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 64 binary64)) #s(literal 1/12 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fabs.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
Outputs
(+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) (log.f64 (E.f64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 8 binary64) (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 5/12 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/24 binary64)) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (sqrt.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 5 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 64 binary64)))) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (cbrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))))
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 #s(literal 8 binary64))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)))) (sqrt.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64))))
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(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
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(log1p.f64 (expm1.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 1/6 binary64) (log.f64 #s(literal 8 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
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(pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 #s(literal 8 binary64)) #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 64 binary64)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 1 binary64)) (fma.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x #s(literal 2 binary64)))))
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) x)
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(sqrt.f64 (*.f64 (cbrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 #s(literal 8 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))) (sqrt.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x))))
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
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(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) (cbrt.f64 x)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/18 binary64)) #s(literal 3 binary64)) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/12 binary64)) (sqrt.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)

eval69.0ms (2.4%)

Compiler

Compiled 1079 to 970 computations (10.1% saved)

prune14.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh000
Picked011
Done022
Total87390
Accuracy
100.0%
Counts
90 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
99.1%
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
99.4%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Compiler

Compiled 41 to 30 computations (26.8% saved)

regimes12.0ms (0.4%)

Accuracy

Total -51.8b remaining (-265154.3%)

Threshold costs -51.8b (-265154.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/6 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))))
Outputs
(hypot.f64 x x)
Calls

4 calls:

5.0ms
x
2.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
2.0ms
(*.f64 x x)
2.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
100.0%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
Stop Event
done
saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(hypot.f64 x x)
Compiler

Compiled 4 to 2 computations (50% saved)

soundness202.0ms (6.9%)

Rules
688×fma-neg
556×exp-sum
543×exp-diff
455×exp-prod
331×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02414294970461
13684294970443
28034294970384
324654294970384
442924294970384
574794294970384
Stop Event
node limit
Compiler

Compiled 102 to 75 computations (26.5% saved)

end0.0ms (0%)

preprocess20.0ms (0.7%)

Remove

(abs x)

Compiler

Compiled 38 to 22 computations (42.1% saved)

Profiling

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