Average Error: 29.0 → 0
Time: 822.0ms
Precision: 64
Internal Precision: 128
\[\left(1 + x\right) - x\]
↓
\[1\]

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.0

    \[\left(1 + x\right) - x\]

  2. Simplified0

    \[\leadsto \color{blue}{1}\]

  3. Final simplification0

    \[\leadsto 1\]

Reproduce

herbie shell --seed 2019022 +o rules:numerics
(FPCore (x)
  :name "Cancel like terms"
  (- (+ 1 x) x))

Details

Time bar (total: 703.0ms)Debug log

sample174.0ms

Algorithm
intervals
Results
68.0ms45×body1280valid
6.0ms143×body80valid
3.0ms31×body640valid
2.0ms25×body320valid
1.0ms12×body160valid

simplify14.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
13.0ms
(- (+ 1 x) x)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample501.0ms

Algorithm
intervals
Results
181.0ms1515×body1280valid
107.0ms4364×body80valid
107.0ms1165×body640valid
36.0ms634×body320valid
12.0ms322×body160valid