Average Error: 0.0 → 0.0
Time: 6.6s
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 2019005 
(FPCore (x y)
  :name "Radioactive exchange between two surfaces"
  (- (pow x 4) (pow y 4)))

Details

Time bar (total: 6.3s)Debug log

sample191.0ms

Algorithm
intervals

simplify15.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

14.0ms
(- (pow x 4) (pow y 4))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Counts
1 → 14
Calls

1 calls. Slowest were:

30.0ms
(- (pow x 4) (pow y 4))

series54.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

53.0ms
(- (pow x 4) (pow y 4))

simplify23.0ms

Counts
7 → 17
Calls

7 calls. Slowest were:

6.0ms
(/ (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))

prune193.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

18.2b
(cbrt (- (pow x 4) (pow y 4)))
18.2b
(cbrt (- (pow x 4) (pow y 4)))
18.2b
(cbrt (- (pow x 4) (pow y 4)))
0.4b
(* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Counts
4 → 85
Calls

4 calls. Slowest were:

25.0ms
(* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4))))
5.0ms
(cbrt (- (pow x 4) (pow y 4)))
4.0ms
(cbrt (- (pow x 4) (pow y 4)))

series365.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

104.0ms
(cbrt (- (pow x 4) (pow y 4)))
101.0ms
(cbrt (- (pow x 4) (pow y 4)))
89.0ms
(* (cbrt (- (pow x 4) (pow y 4))) (cbrt (- (pow x 4) (pow y 4))))
70.0ms
(cbrt (- (pow x 4) (pow y 4)))

simplify1.3s

Counts
69 → 97
Calls

69 calls. Slowest were:

107.0ms
(* (cbrt (- (* (pow x 4) (pow x 4)) (* (pow y 4) (pow y 4)))) (cbrt (- (pow (pow x 4) 3) (pow (pow y 4) 3))))
104.0ms
(* (cbrt (- (pow (pow x 4) 3) (pow (pow y 4) 3))) (cbrt (- (* (pow x 4) (pow x 4)) (* (pow y 4) (pow y 4)))))
101.0ms
(cbrt (- (* (pow x 4) (pow x 4)) (* (pow y 4) (pow y 4))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm
intervals