Average Error: 0.0 → 0.0
Time: 7.1s
Precision: 64
Internal Precision: 128
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[-\log \left(\frac{1}{x} - 1\right)\]

  2. Final simplification0.0

    \[\leadsto -\log \left(\frac{1}{x} - 1\right)\]

Reproduce

herbie shell --seed 2018362 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))

Details

Time bar (total: 1.7s)Debug log

start248.0ms

Algorithm
intervals

setup20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(log (- (/ 1 x) 1))

rewrite5.0ms

Algorithm
rewrite-expression-head
Counts
1 → 15
Calls

1 calls. Slowest were:

3.0ms
(log (- (/ 1 x) 1))

series45.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

44.0ms
(log (- (/ 1 x) 1))

simplify796.0ms

Counts
10 → 18
Calls

10 calls. Slowest were:

508.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
99.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
61.0ms
(log (- (* (/ 1 x) (/ 1 x)) (* 1 1)))

prune196.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* x x) -1/2)

rewrite2.0ms

Algorithm
rewrite-expression-head
Counts
1 → 9
Calls

1 calls. Slowest were:

2.0ms
(* (* x x) -1/2)

series12.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

12.0ms
(* (* x x) -1/2)

simplify20.0ms

Counts
3 → 12
Calls

3 calls. Slowest were:

10.0ms
(* -1/2 (pow x 2))
6.0ms
(* -1/2 (pow x 2))
4.0ms
(* -1/2 (pow x 2))

prune118.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms