Average Error: 49.2 → 49.2
Time: 1.3s
Precision: 64
Internal Precision: 128
\[1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]
↓
\[1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]

Error

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original49.2
Target0
Herbie49.2
\[(\left( 1.7 \cdot 10^{+308} \right) \cdot t + \left(-1.7 \cdot 10^{+308}\right))_*\]

Derivation

  1. Initial program 49.2

    \[1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]

  2. Initial simplification49.2

    \[\leadsto 1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]

  3. Final simplification49.2

    \[\leadsto 1.7 \cdot 10^{+308} \cdot t - 1.7 \cdot 10^{+308}\]

Reproduce

herbie shell --seed 2018365 
(FPCore (t)
  :name "fma_test2"
  :pre (<= 1.9 t 2.1)

  :herbie-target
  (fma 1.7e+308 t (- 1.7e+308))

  (- (* 1.7e+308 t) 1.7e+308))

Details

Time bar (total: 229.0ms)Debug log

start46.0ms

Algorithm
intervals

setup23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 49.3b

localize10.0ms

Local error

Found 1 expressions with local error:

49.3b
(- (* 1.7e+308 t) 1.7e+308)

rewrite2.0ms

Algorithm
rewrite-expression-head
Counts
1 → 11
Calls

1 calls. Slowest were:

2.0ms
(- (* 1.7e+308 t) 1.7e+308)

series23.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

23.0ms
(- (* 1.7e+308 t) 1.7e+308)

simplify24.0ms

Counts
3 → 14
Calls

3 calls. Slowest were:

8.0ms
(- (* 1.7e+308 t) 1.7e+308)
8.0ms
(- (* 1.7e+308 t) 1.7e+308)
7.0ms
(- (* 1.7e+308 t) 1.7e+308)

prune101.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 49.3b