Average Error: 29.4 → 0
Time: 1.0s
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 29.4

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

  2. Simplified0

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

  3. Final simplification0

    \[\leadsto 1\]

Reproduce

herbie shell --seed 2019016 +o rules:numerics
(FPCore (x)
  :name "Cancel like terms"
  (- (+ 1 x) x))

Details

Time bar (total: 896.0ms)Debug log

sample74.0ms

Algorithm
intervals
Results
256×(pre true 80)
140×(body real 80)
53×(body real 1280)
36×(body real 640)
19×(body real 320)
8×(body real 160)

simplify13.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
12.0ms
(- (+ 1 x) x)

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize2.0ms

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

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample787.0ms

Algorithm
intervals
Results
8000×(pre true 80)
4297×(body real 80)
1577×(body real 1280)
1183×(body real 640)
623×(body real 320)
320×(body real 160)