Average Error: 49.1 → 49.1
Time: 1.2s
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

Original49.1
Target0
Herbie49.1
\[(\left( 1.7 \cdot 10^{+308} \right) \cdot t + \left(-1.7 \cdot 10^{+308}\right))_*\]

Derivation

  1. Initial program 49.1

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

  2. Final simplification49.1

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

Reproduce

herbie shell --seed 2019022 
(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: 1.0s)Debug log

sample19.0ms

Algorithm
intervals
Results
8.0ms304×body80valid
5.0ms304×pre80true

simplify5.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
5.0ms
(- (* 1.7e+308 t) 1.7e+308)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 49.0b

localize11.0ms

Local error

Found 1 expressions with local error:

49.0b
(- (* 1.7e+308 t) 1.7e+308)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
1×add-log-exp
1×flip--
1×add-cube-cbrt
1×add-exp-log
1×add-cbrt-cube
1×flip3--
1×*-un-lft-identity
1×sub-neg
1×pow1
1×add-sqr-sqrt
Counts
1 → 11
Calls
1 calls:
Slowest
3.0ms
(- (* 1.7e+308 t) 1.7e+308)

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(- (* 1.7e+308 t) 1.7e+308)

simplify30.0ms

Counts
3 → 14
Calls
3 calls:
Slowest
15.0ms
(- (* 1.7e+308 t) 1.7e+308)
7.0ms
(- (* 1.7e+308 t) 1.7e+308)
7.0ms
(- (* 1.7e+308 t) 1.7e+308)

prune106.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 49.0b

end0.0ms

sample807.0ms

Algorithm
intervals
Results
434.0ms9297×body80valid
259.0ms9297×pre80true