sqrt E (should all be same)

Time bar (total: 2.7s)

analyze1.0ms (0%)

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

Compiled 10 to 8 computations (20% saved)

sample980.0ms (36.9%)

Results
852.0ms8255×body256valid
0.0msbody256infinite
Bogosity

preprocess153.0ms (5.8%)

Algorithm
egg-herbie
Rules
2556×fma-def
1482×distribute-lft-out
1118×hypot-def
988×count-2
868×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
1147
2337
3567
41217
53807
613817
725897
839327
948607
1056267
1166377
1274947
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(hypot.f64 x x)
Compiler

Compiled 10 to 8 computations (20% saved)

simplify118.0ms (4.4%)

Algorithm
egg-herbie
Rules
2556×fma-def
1482×distribute-lft-out
1118×hypot-def
988×count-2
868×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
1147
2337
3567
41217
53807
613817
725897
839327
948607
1056267
1166377
1274947
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
Outputs
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(hypot.f64 x x)

eval1.0ms (0%)

Compiler

Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
100.0%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
100.0%
(hypot.f64 x x)
Compiler

Compiled 8 to 4 computations (50% saved)

localize15.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(hypot.f64 x x)
Compiler

Compiled 6 to 3 computations (50% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(hypot.f64 x x)
1.0ms
x
@inf
(hypot.f64 x x)
1.0ms
x
@0
(hypot.f64 x x)

rewrite92.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
738×pow1
704×add-sqr-sqrt
696×*-un-lft-identity
674×add-exp-log
674×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1807
29337
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(+.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

simplify48.0ms (1.8%)

Algorithm
egg-herbie
Rules
924×associate-*r*
884×log-prod
766×associate-*l*
738×associate-+r+
718×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0116717
1249681
2686669
34006669
Stop Event
node limit
Counts
53 → 55
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(+.f64 0 (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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 2 1/2) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(+.f64 0 (hypot.f64 x x))
(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)))))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))) 3)
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2))
(hypot.f64 x x)
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2))
(hypot.f64 x x)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8)))
(*.f64 (pow.f64 1 1/3) (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(hypot.f64 x x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) 3))
(hypot.f64 x x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 8)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (pow.f64 (hypot.f64 x x) 5/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(hypot.f64 x x)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 3/2) 1/2) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(*.f64 (pow.f64 2 1/2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5) 1/2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(hypot.f64 x x)
(pow.f64 (hypot.f64 x x) 1)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(hypot.f64 x x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(hypot.f64 x x)
(pow.f64 (E.f64) (log.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x x)))) (sqrt.f64 (log.f64 (hypot.f64 x x))))
(sqrt.f64 (*.f64 x (+.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) 3))
(hypot.f64 x x)
(expm1.f64 (log1p.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 (cbrt.f64 (hypot.f64 x x))) 3))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 x x))) 1/3))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 x x))) 2))
(hypot.f64 x x)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x x))) 1/2))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(hypot.f64 x x)

eval9.0ms (0.3%)

Compiler

Compiled 507 to 205 computations (59.6% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456
Accurracy
100.0%
Counts
56 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
100.0%
(hypot.f64 x x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
Compiler

Compiled 46 to 32 computations (30.4% saved)

localize117.0ms (4.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
99.6%
(sqrt.f64 (+.f64 x x))
99.8%
(*.f64 (sqrt.f64 2) x)
99.8%
(*.f64 x (neg.f64 (sqrt.f64 2)))
Compiler

Compiled 39 to 22 computations (43.6% saved)

series4.0ms (0.2%)

Counts
4 → 24
Calls

12 calls:

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

rewrite41.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
266×add-sqr-sqrt
254×pow1
252×*-un-lft-identity
244×add-exp-log
244×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01360
127160
2354560
Stop Event
unsound
Counts
4 → 245
Calls
Call 1
Inputs
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (+.f64 x x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
Outputs
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(*.f64 x 2)
(*.f64 x (sqrt.f64 2))
(*.f64 x (+.f64 x x))
(*.f64 2 x)
(*.f64 2 (+.f64 x x))
(*.f64 2 (*.f64 x x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (+.f64 x x))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (+.f64 x x) x)
(*.f64 (+.f64 x x) (sqrt.f64 2))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (+.f64 x x) (pow.f64 x 1/4))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 1 (+.f64 x x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 4 (*.f64 x x))
(*.f64 (*.f64 x x) 2)
(*.f64 (pow.f64 x 1/4) (+.f64 x x))
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 -1 (+.f64 x x))
(*.f64 (neg.f64 x) (sqrt.f64 2))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
(*.f64 (*.f64 x -1) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (+.f64 x x) 2) x)
(*.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)

simplify33.0ms (1.2%)

Algorithm
egg-herbie
Rules
102×*-commutative
30×distribute-lft-in
28×associate-*r*
28×associate-*l*
26×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01892427
14652427
Stop Event
unsound
Counts
269 → 128
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(*.f64 x 2)
(*.f64 x (sqrt.f64 2))
(*.f64 x (+.f64 x x))
(*.f64 2 x)
(*.f64 2 (+.f64 x x))
(*.f64 2 (*.f64 x x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (+.f64 x x))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 (+.f64 x x) x)
(*.f64 (+.f64 x x) (sqrt.f64 2))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (+.f64 x x) (pow.f64 x 1/4))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 1 (+.f64 x x))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 4 (*.f64 x x))
(*.f64 (*.f64 x x) 2)
(*.f64 (pow.f64 x 1/4) (+.f64 x x))
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 0 (/.f64 1 0))
(*.f64 -1 (+.f64 x x))
(*.f64 (neg.f64 x) (sqrt.f64 2))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
(*.f64 (*.f64 x -1) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (+.f64 x x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (+.f64 x x) 2) x)
(*.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x x))
(-.f64 0 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 0 0)
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (+.f64 x x))
(sqrt.f64 (+.f64 x x))
(fabs.f64 (+.f64 x x))
(log.f64 (exp.f64 (+.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
Outputs
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(*.f64 -1 (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) x)))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) x))
(+.f64 x x)
0
(+.f64 (+.f64 x x) (+.f64 x x))
0
(+.f64 (*.f64 x x) (*.f64 x x))
0
(-.f64 0 (+.f64 x x))
-1
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
0
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
0
(/.f64 1 (+.f64 x x))
0
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
0
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3)))
(/.f64 0 0)
0
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
0
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
0
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
0
(/.f64 (*.f64 0 (+.f64 x x)) 0)
0
(pow.f64 (+.f64 x x) 2)
0
(pow.f64 (+.f64 x x) 1)
0
(pow.f64 (+.f64 x x) 1/2)
0
(pow.f64 (+.f64 x x) 3)
0
(pow.f64 (+.f64 x x) 1/4)
0
(pow.f64 (+.f64 x x) 3/2)
0
(pow.f64 (+.f64 x x) 1/3)
0
(neg.f64 (+.f64 x x))
-1
(sqrt.f64 (+.f64 x x))
0
(fabs.f64 (+.f64 x x))
0
(log.f64 (exp.f64 (+.f64 x x)))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
0
(cbrt.f64 (+.f64 x x))
0
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
0
(expm1.f64 (log1p.f64 (+.f64 x x)))
0
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
0
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log.f64 x)) 0)
(log1p.f64 (expm1.f64 (+.f64 x x)))
0
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(+.f64 0 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 0 (cbrt.f64 x) x)
(+.f64 x x)
0
(+.f64 (+.f64 x x) (+.f64 x x))
0
(+.f64 (*.f64 x x) (*.f64 x x))
0
(-.f64 0 (+.f64 x x))
-1
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
0
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
0
(/.f64 1 (+.f64 x x))
0
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
0
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3)))
(/.f64 0 0)
0
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
0
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
0
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
0
(/.f64 (*.f64 0 (+.f64 x x)) 0)
0
(pow.f64 (+.f64 x x) 2)
0
(pow.f64 (+.f64 x x) 1)
0
(pow.f64 (+.f64 x x) 1/2)
0
(pow.f64 (+.f64 x x) 3)
0
(pow.f64 (+.f64 x x) 1/4)
0
(pow.f64 (+.f64 x x) 3/2)
0
(pow.f64 (+.f64 x x) 1/3)
0
(neg.f64 (+.f64 x x))
-1
(sqrt.f64 (+.f64 x x))
0
(fabs.f64 (+.f64 x x))
0
(log.f64 (exp.f64 (+.f64 x x)))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
0
(cbrt.f64 (+.f64 x x))
0
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
0
(expm1.f64 (log1p.f64 (+.f64 x x)))
0
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
0
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log.f64 x)) 0)
(log1p.f64 (expm1.f64 (+.f64 x x)))
0
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(+.f64 0 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 0 (cbrt.f64 x) x)
(+.f64 x x)
0
(+.f64 (+.f64 x x) (+.f64 x x))
0
(+.f64 (*.f64 x x) (*.f64 x x))
0
(-.f64 0 (+.f64 x x))
-1
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
0
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
0
(*.f64 x 2)
0
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (+.f64 x x))
0
(*.f64 2 x)
0
(*.f64 2 (+.f64 x x))
0
(*.f64 2 (*.f64 x x))
0
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) (+.f64 x x))
(*.f64 (sqrt.f64 2) 0)
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (+.f64 x x) x)
0
(*.f64 (+.f64 x x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) 0)
(*.f64 (+.f64 x x) (+.f64 x x))
0
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 0 (sqrt.f64 x))
(*.f64 (+.f64 x x) 1)
0
(*.f64 (+.f64 x x) (cbrt.f64 (sqrt.f64 x)))
(*.f64 0 (cbrt.f64 (sqrt.f64 x)))
(*.f64 (+.f64 x x) (pow.f64 x 1/4))
(*.f64 0 (pow.f64 x 1/4))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 0 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 2))
(*.f64 1 (+.f64 x x))
0
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) x))
(*.f64 (cbrt.f64 2) (*.f64 x (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))
(*.f64 0 (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 0 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 0 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
0
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(*.f64 0 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 0 (*.f64 (sqrt.f64 2) (cbrt.f64 x)))
(*.f64 4 (*.f64 x x))
(*.f64 (*.f64 x x) 4)
(*.f64 (*.f64 x x) 2)
0
(*.f64 (pow.f64 x 1/4) (+.f64 x x))
(*.f64 0 (pow.f64 x 1/4))
(*.f64 (pow.f64 2 1/4) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) x))
(*.f64 x (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(*.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
0
(*.f64 0 (/.f64 1 0))
0
(*.f64 -1 (+.f64 x x))
-1
(*.f64 (neg.f64 x) (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
0
(*.f64 (*.f64 x -1) (sqrt.f64 2))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (sqrt.f64 2) (*.f64 0 (cbrt.f64 x)))
(*.f64 (*.f64 (+.f64 x x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 0 (*.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (+.f64 x x) 2) x)
0
(*.f64 (*.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 x (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (*.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 x (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(*.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 2 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 0 (cbrt.f64 x))
(/.f64 1 (+.f64 x x))
0
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
0
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3)))
(/.f64 0 0)
0
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
0
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
0
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
0
(/.f64 (*.f64 0 (+.f64 x x)) 0)
0
(pow.f64 (+.f64 x x) 2)
0
(pow.f64 (+.f64 x x) 1)
0
(pow.f64 (+.f64 x x) 1/2)
0
(pow.f64 (+.f64 x x) 3)
0
(pow.f64 (+.f64 x x) 1/4)
0
(pow.f64 (+.f64 x x) 3/2)
0
(pow.f64 (+.f64 x x) 1/3)
0
(neg.f64 (+.f64 x x))
-1
(fabs.f64 (+.f64 x x))
0
(log.f64 (exp.f64 (+.f64 x x)))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
0
(cbrt.f64 (+.f64 x x))
0
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
0
(expm1.f64 (log1p.f64 (+.f64 x x)))
0
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
0
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log.f64 x)) 0)
(log1p.f64 (expm1.f64 (+.f64 x x)))
0
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(+.f64 0 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 0 (cbrt.f64 x) x)
(+.f64 x x)
0
(+.f64 (+.f64 x x) (+.f64 x x))
0
(+.f64 (*.f64 x x) (*.f64 x x))
0
(-.f64 0 (+.f64 x x))
-1
(-.f64 (exp.f64 (log1p.f64 (+.f64 x x))) 1)
0
(-.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))
0
(/.f64 1 (+.f64 x x))
0
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
0
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 2 (/.f64 (fma.f64 x x 0) (pow.f64 x 3)))
(/.f64 0 0)
0
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (*.f64 4 (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
0
(/.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
0
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 -2 (pow.f64 x 3)) (neg.f64 (fma.f64 x x 0)))
(/.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
0
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
0
(/.f64 (*.f64 0 (+.f64 x x)) 0)
0
(pow.f64 (+.f64 x x) 2)
0
(pow.f64 (+.f64 x x) 1)
0
(pow.f64 (+.f64 x x) 1/2)
0
(pow.f64 (+.f64 x x) 3)
0
(pow.f64 (+.f64 x x) 1/4)
0
(pow.f64 (+.f64 x x) 3/2)
0
(pow.f64 (+.f64 x x) 1/3)
0
(neg.f64 (+.f64 x x))
-1
(sqrt.f64 (+.f64 x x))
0
(fabs.f64 (+.f64 x x))
0
(log.f64 (exp.f64 (+.f64 x x)))
0
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
0
(cbrt.f64 (+.f64 x x))
0
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (+.f64 x x)))
(cbrt.f64 (*.f64 0 (pow.f64 x 3/2)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 x 3))))
(cbrt.f64 (*.f64 (pow.f64 x 3) (+.f64 x x)))
0
(expm1.f64 (log1p.f64 (+.f64 x x)))
0
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
0
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
0
(exp.f64 (+.f64 (log.f64 x) (log.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log.f64 x)) 0)
(log1p.f64 (expm1.f64 (+.f64 x x)))
0
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(fma.f64 1 x x)
(+.f64 0 x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 0 (cbrt.f64 x) x)

eval23.0ms (0.9%)

Compiler

Compiled 1088 to 577 computations (47% saved)

prune20.0ms (0.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1244128
Fresh000
Picked033
Done011
Total1248132
Accurracy
100.0%
Counts
132 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
10.1%
(+.f64 x x)
9.8%
(+.f64 0 x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
12.7%
(neg.f64 (+.f64 x x))
3.8%
0
100.0%
(hypot.f64 x x)
10.1%
(+.f64 x x)
9.8%
(+.f64 0 x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
12.7%
(neg.f64 (+.f64 x x))
3.8%
0
Compiler

Compiled 76 to 52 computations (31.6% saved)

localize25.0ms (0.9%)

Compiler

Compiled 19 to 7 computations (63.2% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune6.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked033
Done044
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
10.1%
(+.f64 x x)
9.8%
(+.f64 0 x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
12.7%
(neg.f64 (+.f64 x x))
3.8%
0
100.0%
(hypot.f64 x x)
10.1%
(+.f64 x x)
9.8%
(+.f64 0 x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
12.7%
(neg.f64 (+.f64 x x))
3.8%
0
Compiler

Compiled 76 to 52 computations (31.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.2%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Accurracy
100.0%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(hypot.f64 x x)
10.1%
(+.f64 x x)
9.8%
(+.f64 0 x)
42.0%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
43.2%
(*.f64 (sqrt.f64 2) x)
58.4%
(*.f64 x (neg.f64 (sqrt.f64 2)))
12.7%
(neg.f64 (+.f64 x x))
3.8%
0
Compiler

Compiled 77 to 49 computations (36.4% saved)

regimes21.0ms (0.8%)

Counts
9 → 1
Calls
Call 1
Inputs
0
(+.f64 0 x)
(+.f64 x x)
(neg.f64 (+.f64 x x))
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (neg.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
Outputs
(hypot.f64 x x)
Calls

4 calls:

7.0ms
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
5.0ms
x
4.0ms
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
4.0ms
(pow.f64 x 2)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
100.0%1(+.f64 (pow.f64 x 2) (pow.f64 x 2))
100.0%1(pow.f64 x 2)
Compiler

Compiled 62 to 40 computations (35.5% saved)

regimes8.0ms (0.3%)

Counts
4 → 2
Calls
Call 1
Inputs
0
(+.f64 0 x)
(+.f64 x x)
(neg.f64 (+.f64 x x))
Outputs
(neg.f64 (+.f64 x x))
(+.f64 x x)
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
20.6%2x
Compiler

Compiled 14 to 7 computations (50% saved)

regimes4.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(+.f64 0 x)
(+.f64 x x)
Outputs
(+.f64 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
10.1%1x
Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
0
(+.f64 0 x)
Outputs
(+.f64 0 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
9.8%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.8%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch15.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-1.66748354515332e-306
1.129535237172477e-306
Results
13.0ms128×body256valid
Compiler

Compiled 101 to 66 computations (34.7% saved)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Rules
distribute-neg-in
unsub-neg
sub-neg
neg-mul-1
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12143
22943
33643
44043
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (+.f64 x x)) (+.f64 x x))
(+.f64 x x)
(+.f64 0 x)
0
Outputs
(hypot.f64 x x)
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (+.f64 x x)) (+.f64 x x))
(if (<=.f64 x -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (neg.f64 x) x) (+.f64 x x))
(+.f64 x x)
(+.f64 0 x)
x
0
Compiler

Compiled 24 to 14 computations (41.7% saved)

soundness850.0ms (32%)

Rules
2556×fma-def
1482×distribute-lft-out
1118×hypot-def
988×count-2
924×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
1147
2337
3567
41217
53807
613817
725897
839327
948607
1056267
1166377
1274947
0116717
1249681
2686669
34006669
01360
127160
2354560
01892427
14652427
01360
127160
2354560
01892427
14652427
01360
127160
2354560
Stop Event
unsound
unsound
unsound
unsound
unsound
node limit
node limit
Compiler

Compiled 63 to 44 computations (30.2% saved)

end41.0ms (1.5%)

Compiler

Compiled 58 to 32 computations (44.8% saved)

Profiling

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