Average Error: 0.0 → 0.0
Time: 4.6s
Precision: 64
Internal Precision: 128
\[{x}^{4} - {y}^{4}\]
↓
\[{x}^{4} - {y}^{4}\]

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[{x}^{4} - {y}^{4}\]

  2. Final simplification0.0

    \[\leadsto {x}^{4} - {y}^{4}\]

Reproduce

herbie shell --seed 2019002 
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))

Details

Time bar (total: 3.8s)Debug log

sample194.0ms

Algorithm
intervals

simplify10.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

10.0ms
(- (pow x 4) (pow y 4))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (pow x 4) (pow y 4))

rewrite12.0ms

Algorithm
rewrite-expression-head
Counts
1 → 14
Calls

1 calls. Slowest were:

10.0ms
(- (pow x 4) (pow y 4))

series106.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

106.0ms
(- (pow x 4) (pow y 4))

simplify96.0ms

Counts
7 → 17
Calls

7 calls. Slowest were:

45.0ms
(- (sqrt (pow x 4)) (sqrt (pow y 4)))
14.0ms
(/ (exp (pow x 4)) (exp (pow y 4)))
11.0ms
(- (pow x 4) (pow y 4))

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

12.4b
(sqrt (pow x 4))
12.4b
(sqrt (pow x 4))
9.8b
(sqrt (pow y 4))
9.8b
(sqrt (pow y 4))

rewrite3.0ms

Algorithm
rewrite-expression-head
Counts
4 → 48
Calls

4 calls. Slowest were:

1.0ms
(sqrt (pow x 4))
1.0ms
(sqrt (pow y 4))
1.0ms
(sqrt (pow x 4))

series48.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

14.0ms
(sqrt (pow x 4))
12.0ms
(sqrt (pow y 4))
12.0ms
(sqrt (pow x 4))
9.0ms
(sqrt (pow y 4))

simplify30.0ms

Counts
28 → 60
Calls

28 calls. Slowest were:

2.0ms
(sqrt (* (cbrt (pow y 4)) (cbrt (pow y 4))))
2.0ms
(sqrt (* (cbrt (pow x 4)) (cbrt (pow x 4))))
2.0ms
(sqrt (* (cbrt (pow y 4)) (cbrt (pow y 4))))

prune582.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample2.3s

Algorithm
intervals