Average Error: 0.0 → 0.0
Time: 5.1s
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. Initial simplification0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2018362 
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))

Details

Time bar (total: 2.2s)Debug log

start203.0ms

Algorithm
intervals

setup53.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Counts
1 → 14
Calls

1 calls. Slowest were:

7.0ms
(- (pow x 4) (pow y 4))

series47.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

47.0ms
(- (pow x 4) (pow y 4))

simplify33.0ms

Counts
7 → 17
Calls

7 calls. Slowest were:

9.0ms
(/ (exp (pow x 4)) (exp (pow y 4)))
4.0ms
(- (sqrt (pow x 4)) (sqrt (pow y 4)))
3.0ms
(- (pow x 4) (pow y 4))

prune188.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

13.3b
(sqrt (pow y 4))
13.3b
(sqrt (pow y 4))
13.1b
(sqrt (pow x 4))
13.1b
(sqrt (pow x 4))

rewrite5.0ms

Algorithm
rewrite-expression-head
Counts
4 → 48
Calls

4 calls. Slowest were:

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

series65.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

17.0ms
(sqrt (pow y 4))
16.0ms
(sqrt (pow x 4))
16.0ms
(sqrt (pow y 4))
16.0ms
(sqrt (pow x 4))

simplify62.0ms

Counts
28 → 60
Calls

28 calls. Slowest were:

7.0ms
(pow y 2)
4.0ms
(sqrt (* (cbrt (pow y 4)) (cbrt (pow y 4))))
4.0ms
(sqrt (* (cbrt (pow y 4)) (cbrt (pow y 4))))

prune914.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes588.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms