Average Error: 0.0 → 0.0
Time: 3.9s
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 2019007 
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))

Details

Time bar (total: 3.6s)Debug log

sample169.0ms

Algorithm
intervals

simplify10.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

9.0ms
(- (pow x 4) (pow y 4))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 1 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Counts
1 → 14
Calls

1 calls. Slowest were:

40.0ms
(- (pow x 4) (pow y 4))

series101.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

101.0ms
(- (pow x 4) (pow y 4))

simplify51.0ms

Counts
7 → 17
Calls

7 calls. Slowest were:

12.0ms
(/ (exp (pow x 4)) (exp (pow y 4)))
9.0ms
(- (sqrt (pow x 4)) (sqrt (pow y 4)))
8.0ms
(- (pow x 4) (pow y 4))

prune231.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample2.9s

Algorithm
intervals