Average Error: 0.0 → 0.0
Time: 2.5s
Precision: 64
Internal Precision: 128
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{-\left(1 - x \cdot x\right)}\]

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

    \[e^{-\left(1 - x \cdot x\right)}\]

  2. Final simplification0.0

    \[\leadsto e^{-\left(1 - x \cdot x\right)}\]

Reproduce

herbie shell --seed 2019008 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))

Details

Time bar (total: 2.3s)Debug log

sample38.0ms

Algorithm
intervals

simplify41.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

41.0ms
(exp (- (- 1 (* x x))))

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(exp (- (- 1 (* x x))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Counts
1 → 23
Calls

1 calls. Slowest were:

3.0ms
(exp (- (- 1 (* x x))))

series16.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

16.0ms
(exp (- (- 1 (* x x))))

simplify186.0ms

Counts
17 → 26
Calls

17 calls. Slowest were:

71.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
19.0ms
(exp (sqrt (- (- 1 (* x x)))))
19.0ms
(exp (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x))))))

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(pow (exp -1) (- 1 (* x x)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Counts
1 → 19
Calls

1 calls. Slowest were:

2.0ms
(pow (exp -1) (- 1 (* x x)))

series61.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

61.0ms
(pow (exp -1) (- 1 (* x x)))

simplify354.0ms

Counts
14 → 22
Calls

14 calls. Slowest were:

93.0ms
(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
91.0ms
(exp (* -1 (- 1 (pow x 2))))
80.0ms
(exp (* -1 (- 1 (pow x 2))))

prune172.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.1s

Algorithm
intervals