sqrt C (should all be same)

Details

Time bar (total: 1.9s)

analyze0.0ms (0%)

Algorithm
1×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)

sample962.0ms (50.6%)

Results
951.0ms8256×body256valid
Bogosity

preprocess15.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
6×*-commutative
2×associate-*r*
2×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11117
21417
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Outputs
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify11.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
2×associate-*r*
2×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11117
21417
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Outputs
(sqrt.f64 (*.f64 2 (*.f64 x x)))

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
54.1%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.1%
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize24.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 2 (*.f64 x x))
✓54.1%
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 18 to 9 computations (50% saved)

series15.0ms (0.8%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
13.0ms
x
@inf
(*.f64 2 (*.f64 x x))
1.0ms
x
@-inf
(*.f64 2 (*.f64 x x))
1.0ms
x
@0
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 2 (*.f64 x x)))
0.0ms
x
@0
(*.f64 2 (*.f64 x x))

rewrite55.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
1354×pow1
1244×add-exp-log
1244×log1p-expm1-u
1244×expm1-log1p-u
1214×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
116024
2181024
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(*.f64 2 (*.f64 x x))
Outputs
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 1 (*.f64 x (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2))
(*.f64 (pow.f64 (*.f64 2 x) 1/2) (sqrt.f64 x))
(pow.f64 (*.f64 2 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1)
(pow.f64 (*.f64 2 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x))))

simplify70.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
1200×log-prod
1148×fma-def
1056×distribute-rgt-in
1030×distribute-lft-in
700×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083816
1193816
2739816
32412688
47441688
Stop Event
1×node limit
Counts
60 → 48
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 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 1 (*.f64 x (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2))
(*.f64 (pow.f64 (*.f64 2 x) 1/2) (sqrt.f64 x))
(pow.f64 (*.f64 2 (*.f64 x x)) 1/2)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1)
(pow.f64 (*.f64 2 (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x))))
Outputs
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(*.f64 -1 (*.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 1 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) (cbrt.f64 (*.f64 2 (*.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) (cbrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (pow.f64 1 1/2) (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (*.f64 x x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x x)))))
(*.f64 (pow.f64 (*.f64 2 x) 1/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 2 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(pow.f64 (*.f64 2 (*.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) 1)
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (*.f64 2 (*.f64 x x)) 1)
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x x))) 3)
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3) 1/3)
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 x x)) 3))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 x x))))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(exp.f64 (log.f64 (*.f64 2 (*.f64 x x))))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 x x))))
(*.f64 2 (*.f64 x x))
(*.f64 x (+.f64 x x))

eval10.0ms (0.5%)

Compiler

Compiled 375 to 272 computations (27.5% saved)

prune6.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349
Accurracy
100.0%
Counts
49 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 x x)
▶52.8%
(*.f64 (sqrt.f64 2) x)
✓54.1%
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

localize23.0ms (1.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.4%
(*.f64 (sqrt.f64 2) x)
Compiler

Compiled 10 to 8 computations (20% saved)

series0.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 (sqrt.f64 2) x)
0.0ms
x
@0
(*.f64 (sqrt.f64 2) x)
0.0ms
x
@inf
(*.f64 (sqrt.f64 2) x)

rewrite236.0ms (12.4%)

Algorithm
1×batch-egg-rewrite
Rules
1182×pow1
1084×add-exp-log
1084×log1p-expm1-u
1084×expm1-log1p-u
1058×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113811
2150811
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) x)
Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))

simplify64.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1896×log-prod
954×fma-neg
806×*-commutative
676×distribute-lft-out
640×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032253
179187
2271121
31535121
44437121
56814121
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 2 (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)

localize16.0ms (0.8%)

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)
0.0ms
x
@0
(hypot.f64 x x)

rewrite79.0ms (4.2%)

Algorithm
1×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
1×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)))

simplify51.0ms (2.7%)

Algorithm
1×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
1×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)

eval11.0ms (0.6%)

Compiler

Compiled 598 to 281 computations (53% saved)

prune50.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done022
Total69372
Accurracy
100.0%
Counts
72 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓52.8%
(*.f64 (sqrt.f64 2) x)
✓54.1%
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes52.0ms (2.7%)

Accuracy

Total -44.8b remaining (-573392.4%)

Threshold costs -44.8b (-573392.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Outputs
(hypot.f64 x x)
Calls

4 calls:

43.0ms
x
3.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
3.0ms
(*.f64 2 (*.f64 x x))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(sqrt.f64 (*.f64 2 (*.f64 x x)))
100.0%1(*.f64 2 (*.f64 x x))
100.0%1(*.f64 x x)
Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(hypot.f64 x x)
Outputs
(hypot.f64 x x)
Compiler

Compiled 4 to 2 computations (50% saved)

soundness123.0ms (6.5%)

Rules
1200×log-prod
1148×fma-def
1056×distribute-rgt-in
1030×distribute-lft-in
700×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083816
1193816
2739816
32412688
47441688
Stop Event
1×node limit
Compiler

Compiled 80 to 55 computations (31.3% saved)

end19.0ms (1%)

Compiler

Compiled 22 to 14 computations (36.4% saved)

Profiling

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