Average Error: 0.0 → 0.0
Time: 8.5s
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 2018360 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))

Details

Time bar (total: 3.0s)Debug log

start278.0ms

Algorithm
intervals

setup20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Counts
2 → 27
Calls

2 calls. Slowest were:

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

series453.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

438.0ms
(log (- (/ 1 x) 1))
14.0ms
(- (/ 1 x) 1)

simplify305.0ms

Counts
14 → 33
Calls

14 calls. Slowest were:

62.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
59.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
56.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))

prune349.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Counts
2 → 23
Calls

2 calls. Slowest were:

11.0ms
(- (* x (* x -1/2)) (+ (log x) x))
5.0ms
(+ (log x) x)

series242.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

225.0ms
(+ (log x) x)
16.0ms
(- (* x (* x -1/2)) (+ (log x) x))

simplify852.0ms

Counts
7 → 29
Calls

7 calls. Slowest were:

353.0ms
(- (log (/ -1 x)) (+ x (+ (* 1/2 (pow x 2)) (log -1))))
276.0ms
(- (log (/ 1 x)) (+ (* 1/2 (pow x 2)) x))
78.0ms
(- (+ x (log -1)) (log (/ -1 x)))

prune306.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms