Average Error: 0.0 → 0.0
Time: 4.4s
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 +o rules:numerics
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))

Details

Time bar (total: 4.1s)Debug log

sample304.0ms

Algorithm
intervals

simplify14.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

13.0ms
(- (pow x 4) (pow y 4))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Counts
1 → 28
Calls

1 calls. Slowest were:

11.0ms
(- (pow x 4) (pow y 4))

series56.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

56.0ms
(- (pow x 4) (pow y 4))

simplify681.0ms

Counts
27 → 31
Calls

27 calls. Slowest were:

91.0ms
(fma (* (cbrt (pow x 4)) (cbrt (pow x 4))) (cbrt (pow x 4)) (- (* (sqrt (pow y 4)) (sqrt (pow y 4)))))
64.0ms
(fma (* (cbrt (pow x 4)) (cbrt (pow x 4))) (cbrt (pow x 4)) (- (* (cbrt (pow y 4)) (* (cbrt (pow y 4)) (cbrt (pow y 4))))))
60.0ms
(fma (- (cbrt (pow y 4))) (* (cbrt (pow y 4)) (cbrt (pow y 4))) (* (cbrt (pow y 4)) (* (cbrt (pow y 4)) (cbrt (pow y 4)))))

prune330.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample2.7s

Algorithm
intervals