ENA, Section 1.4, Exercise 4b, n=2

Time bar (total: 2.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25.7%74.3%0%0%0%0
100%25.7%0%74.3%0%0%0%1
Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (61.1%)

Results
926.0ms6065×body256valid
395.0ms1063×body1024valid
255.0ms1102×body512valid
9.0ms26×body2048valid
Bogosity

preprocess51.0ms (2%)

Algorithm
1×egg-herbie
Rules
1358×fma-def
852×unswap-sqr
758×distribute-lft-out
646×distribute-lft-neg-in
640×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023116
164100
2168100
371476
4408276
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (*.f64 x -2)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) 2) (pow.f64 (neg.f64 x) 2))
(-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x))
(*.f64 eps (+.f64 eps (*.f64 x -2)))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 eps eps))
(*.f64 x (+.f64 x (+.f64 eps eps)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify32.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1174×distribute-lft-in
1074×distribute-rgt-in
1026×cancel-sign-sub-inv
942×fma-def
940×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0925
12125
25225
316425
465215
5289915
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(*.f64 eps (fma.f64 2 x eps))

eval3.0ms (0.1%)

Compiler

Compiled 26 to 15 computations (42.3% 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%
(*.f64 eps (fma.f64 2 x eps))
▶100.0%
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize26.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 eps (fma.f64 2 x eps))
Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(*.f64 eps (fma.f64 2 x eps))
0.0ms
x
@0
(*.f64 eps (fma.f64 2 x eps))
0.0ms
eps
@0
(*.f64 eps (fma.f64 2 x eps))
0.0ms
eps
@inf
(*.f64 eps (fma.f64 2 x eps))
0.0ms
x
@inf
(*.f64 eps (fma.f64 2 x eps))

rewrite54.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
1472×pow1
1344×add-exp-log
1344×log1p-expm1-u
1344×expm1-log1p-u
1314×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
115915
2181815
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 eps (fma.f64 2 x eps))
Outputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))

simplify52.0ms (2%)

Algorithm
1×egg-herbie
Rules
1576×fma-def
1172×log-prod
650×*-commutative
638×associate-*r*
626×distribute-lft-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043525
1104525
2334525
32351525
45603525
Stop Event
1×node limit
Counts
37 → 19
Calls
Call 1
Inputs
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
Outputs
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 eps (*.f64 2 x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (*.f64 eps (*.f64 2 x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (+.f64 1 (*.f64 eps (fma.f64 2 x eps))) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))

eval3.0ms (0.1%)

Compiler

Compiled 147 to 90 computations (38.8% saved)

prune5.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New16319
Fresh000
Picked011
Done000
Total16420
Accurracy
100.0%
Counts
20 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
✓100.0%
(*.f64 eps (fma.f64 2 x eps))
▶69.8%
(*.f64 eps (*.f64 2 x))
▶71.5%
(*.f64 eps eps)
▶100.0%
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
✓100.0%
(*.f64 eps (fma.f64 2 x eps))
▶69.8%
(*.f64 eps (*.f64 2 x))
▶71.5%
(*.f64 eps eps)
Compiler

Compiled 62 to 40 computations (35.5% saved)

localize45.0ms (1.7%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
Compiler

Compiled 41 to 20 computations (51.2% saved)

series2.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
0.0ms
x
@0
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
0.0ms
eps
@0
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
0.0ms
eps
@inf
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
0.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))

rewrite71.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
968×log-prod
796×prod-exp
746×fma-def
700×exp-prod
682×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
119515
2259315
Stop Event
1×node limit
Counts
1 → 78
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(-.f64 (/.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (*.f64 eps (-.f64 (+.f64 x x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (+.f64 x x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 1 (*.f64 eps (fma.f64 2 x eps)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6)) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(*.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(*.f64 (fma.f64 2 x eps) eps)
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6)) (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4)) (*.f64 eps (-.f64 (+.f64 x x) eps)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 eps 4) (*.f64 4 (pow.f64 (*.f64 x eps) 2))) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))) -1)
(pow.f64 (/.f64 (*.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 2)) (cbrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))) (sqrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 eps 2)) x) (+.f64 1 (expm1.f64 (*.f64 eps eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps)))) (pow.f64 (exp.f64 eps) eps)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps)))) (+.f64 1 (expm1.f64 (*.f64 eps eps)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 eps) eps) (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps eps))) (pow.f64 (exp.f64 (*.f64 eps 2)) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps eps))) (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) 1) (log.f64 (fma.f64 2 x eps))))
(exp.f64 (+.f64 (log.f64 (fma.f64 2 x eps)) (*.f64 (log.f64 eps) 1)))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 x eps) (*.f64 eps eps))
(fma.f64 x (*.f64 2 eps) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 2 (*.f64 x eps)))
(fma.f64 (*.f64 2 (*.f64 x eps)) 1 (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) 1 (*.f64 2 (*.f64 x eps)))
(fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (*.f64 (cbrt.f64 eps) eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (cbrt.f64 (+.f64 x x)) eps) (*.f64 eps eps))
(fma.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) eps) (*.f64 eps eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 2 (*.f64 x eps)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 (*.f64 x eps) 2 (*.f64 eps eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps eps))
(fma.f64 (*.f64 (+.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps eps))
(fma.f64 (*.f64 eps 2) x (*.f64 eps eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (*.f64 eps (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (*.f64 eps eps))

simplify93.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
1070×fma-neg
930×times-frac
810×fma-def
666×log-prod
494×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992796
15322274
214292158
364402158
Stop Event
1×node limit
Counts
102 → 93
Calls
Call 1
Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(*.f64 2 (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(-.f64 (/.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (*.f64 eps (-.f64 (+.f64 x x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (+.f64 x x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 1 (*.f64 eps (fma.f64 2 x eps)))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6)) (/.f64 1 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(*.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4)) (/.f64 1 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(*.f64 (fma.f64 2 x eps) eps)
(/.f64 1 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))))
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6)) (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))))
(/.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6)) (+.f64 (pow.f64 eps 4) (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4)) (*.f64 eps (-.f64 (+.f64 x x) eps)))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))) (neg.f64 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))) (neg.f64 (*.f64 eps (-.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (pow.f64 eps 4) (*.f64 4 (pow.f64 (*.f64 x eps) 2))) (-.f64 (*.f64 eps eps) (*.f64 2 (*.f64 x eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(pow.f64 (/.f64 (-.f64 (fma.f64 4 (pow.f64 (*.f64 x eps) 2) (pow.f64 eps 4)) (*.f64 (+.f64 x x) (pow.f64 eps 3))) (fma.f64 8 (pow.f64 (*.f64 x eps) 3) (pow.f64 eps 6))) -1)
(pow.f64 (/.f64 (*.f64 eps (-.f64 (+.f64 x x) eps)) (-.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (pow.f64 eps 4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 2)) (cbrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))) (sqrt.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 eps 2)) x) (+.f64 1 (expm1.f64 (*.f64 eps eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps)))) (pow.f64 (exp.f64 eps) eps)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps)))) (+.f64 1 (expm1.f64 (*.f64 eps eps)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 eps) eps) (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps eps))) (pow.f64 (exp.f64 (*.f64 eps 2)) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps eps))) (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 x eps))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 eps) 1) (log.f64 (fma.f64 2 x eps))))
(exp.f64 (+.f64 (log.f64 (fma.f64 2 x eps)) (*.f64 (log.f64 eps) 1)))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(fma.f64 2 (*.f64 x eps) (*.f64 eps eps))
(fma.f64 x (*.f64 2 eps) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 2 (*.f64 x eps)))
(fma.f64 (*.f64 2 (*.f64 x eps)) 1 (*.f64 eps eps))
(fma.f64 (*.f64 eps eps) 1 (*.f64 2 (*.f64 x eps)))
(fma.f64 1 (*.f64 2 (*.f64 x eps)) (*.f64 eps eps))
(fma.f64 1 (*.f64 eps eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (*.f64 (cbrt.f64 eps) eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (cbrt.f64 (+.f64 x x)) eps) (*.f64 eps eps))
(fma.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (*.f64 eps eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) eps) (*.f64 eps eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 2 (*.f64 x eps)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 (*.f64 x eps) 2 (*.f64 eps eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps eps))
(fma.f64 (*.f64 (+.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps eps))
(fma.f64 (*.f64 eps 2) x (*.f64 eps eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (*.f64 eps (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (*.f64 eps eps))
Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 2 (*.f64 eps x))
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 x x))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (*.f64 2 (*.f64 eps x)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (/.f64 (*.f64 4 (pow.f64 (*.f64 x eps) 2)) (*.f64 eps (-.f64 (+.f64 x x) eps))) (/.f64 (pow.f64 eps 4) (*.f64 eps (-.f64 (+.f64 x x) eps))))
(/.f64 (-.f64 (*.f64 4 (pow.f64 (*.f64 eps x) 2)) (pow.f64 eps 4)) (*.f64 eps (+.f64 x (-.f64 x eps))))
(/.f64 (fma.f64 4 (pow.f64 (*.f64 eps x) 2) (neg.f64 (pow.f64 eps 4))) (*.f64 eps (+.f64 x (-.f64 x eps))))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) 2) -4 (pow.f64 eps 4)) (*.f64 eps (fma.f64 -2 x eps)))
(/.f64 (fma.f64 (pow.f64 (*.f64 eps x) 2) -4 (pow.f64 eps 4)) (*.f64 eps (fma.f64 x -2 eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 1 (*.f64 eps (fma.f64 2 x eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
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(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (cbrt.f64 eps) eps) (pow.f64 (cbrt.f64 eps) 2) (*.f64 2 (*.f64 x eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x x)) 2) (*.f64 (cbrt.f64 (+.f64 x x)) eps) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 x eps))) 2) (cbrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (+.f64 x x)) (*.f64 (sqrt.f64 (+.f64 x x)) eps) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 eps) (pow.f64 eps 3/2) (*.f64 2 (*.f64 x eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (sqrt.f64 (*.f64 2 (*.f64 x eps))) (sqrt.f64 (*.f64 2 (*.f64 x eps))) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 x eps) 2 (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 eps 3/2) (sqrt.f64 eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) 5) (cbrt.f64 eps) (*.f64 2 (*.f64 x eps)))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 (+.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps 2) x (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 x x)) 2)) (cbrt.f64 (+.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (*.f64 eps (sqrt.f64 (+.f64 x x))) (sqrt.f64 (+.f64 x x)) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))

eval26.0ms (1%)

Compiler

Compiled 1309 to 691 computations (47.2% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh000
Picked033
Done011
Total93497
Accurracy
100.0%
Counts
97 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
✓100.0%
(*.f64 eps (fma.f64 2 x eps))
✓69.8%
(*.f64 eps (*.f64 2 x))
✓71.5%
(*.f64 eps eps)
Compiler

Compiled 65 to 39 computations (40% saved)

regimes13.0ms (0.5%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 eps eps)
(*.f64 eps (*.f64 2 x))
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Outputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
Calls

3 calls:

5.0ms
eps
4.0ms
x
2.0ms
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
Compiler

Compiled 51 to 31 computations (39.2% saved)

regimes64.0ms (2.5%)

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

2 calls:

55.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
92.1%3x
87.1%3eps
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 eps eps)
Outputs
(*.f64 eps eps)
Calls

2 calls:

4.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
71.5%1eps
71.5%1x
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch57.0ms (2.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
2.5715400704563748e-107
8.10366680562646e-107
10.0ms
-8.496931333398799e-115
-5.8119645300640365e-115
Results
45.0ms56×body512valid
10.0ms88×body256valid
Compiler

Compiled 142 to 102 computations (28.2% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×*-commutative
2×+-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01977
12877
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(if (<=.f64 x -8428915870127277/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 5949503719112237/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))
(*.f64 eps eps)
Outputs
(+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 2 x) eps))
(if (<=.f64 x -8428915870127277/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 5949503719112237/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -8428915870127277/11090678776483259438313656736572334813745748301503266300681918322458485231222502492159897624416558312389564843845614287315896631296) (not (<=.f64 x 5949503719112237/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032))) (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps eps)
Compiler

Compiled 35 to 23 computations (34.3% saved)

soundness350.0ms (13.4%)

Rules
1576×fma-def
1576×fma-def
1472×pow1
1344×add-exp-log
1344×log1p-expm1-u
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0925
12125
25225
316425
465215
5289915
0815
115915
2181815
043525
1104525
2334525
32351525
45603525
043525
1104525
2334525
32351525
45603525
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 174 to 73 computations (58% saved)

end0.0ms (0%)

preprocess36.0ms (1.4%)

Compiler

Compiled 84 to 50 computations (40.5% saved)

Profiling

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