Average Error: 0.2 → 0.2
Time: 6.5s
Precision: 64
Internal Precision: 128
\[\frac{a}{-\cos^{-1} a}\]
↓
\[\frac{a}{-\cos^{-1} a}\]

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{a}{-\cos^{-1} a}\]

  2. Final simplification0.2

    \[\leadsto \frac{a}{-\cos^{-1} a}\]

Reproduce

herbie shell --seed 2018365 
(FPCore (a)
  :name "Fuzzer 001"
  (/ a (- (acos a))))

Details

Time bar (total: 3.6s)Debug log

start71.0ms

Algorithm
intervals

setup12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ a (- (acos a)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Counts
1 → 20
Calls

1 calls. Slowest were:

2.0ms
(/ a (- (acos a)))

series25.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

25.0ms
(/ a (- (acos a)))

simplify63.0ms

Counts
13 → 23
Calls

13 calls. Slowest were:

23.0ms
(* -1 (/ a (acos a)))
14.0ms
(* -1 (/ a (acos a)))
14.0ms
(* -1 (/ a (acos a)))

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(* a (/ 1 (- (acos a))))
0.0b
(/ 1 (- (acos a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Counts
2 → 37
Calls

2 calls. Slowest were:

1.0ms
(* a (/ 1 (- (acos a))))
1.0ms
(/ 1 (- (acos a)))

series20.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

15.0ms
(* a (/ 1 (- (acos a))))
6.0ms
(/ 1 (- (acos a)))

simplify51.0ms

Counts
23 → 43
Calls

23 calls. Slowest were:

14.0ms
(* -1 (/ a (acos a)))
8.0ms
(* -1 (/ a (acos a)))
8.0ms
(* -1 (/ a (acos a)))

prune308.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (/ (- (acos a)) a))
0.3b
(/ (- (acos a)) a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Counts
2 → 40
Calls

2 calls. Slowest were:

6.0ms
(/ (- (acos a)) a)
2.0ms
(/ 1 (/ (- (acos a)) a))

series50.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

26.0ms
(/ (- (acos a)) a)
25.0ms
(/ 1 (/ (- (acos a)) a))

simplify92.0ms

Counts
20 → 46
Calls

20 calls. Slowest were:

16.0ms
(* -1 (/ a (acos a)))
16.0ms
(* -1 (/ (acos a) a))
13.0ms
(* -1 (/ (acos a) a))

prune341.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (/ 1 (- (acos a))) (/ 1 a))
0.0b
(/ 1 (- (acos a)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Counts
2 → 62
Calls

2 calls. Slowest were:

4.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
1.0ms
(/ 1 (- (acos a)))

series20.0ms

Counts
2 → 6
Calls

2 calls. Slowest were:

15.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
6.0ms
(/ 1 (- (acos a)))

simplify1.5s

Counts
58 → 68
Calls

58 calls. Slowest were:

810.0ms
(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
69.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))
64.0ms
(/ (/ 1 (- (acos a))) (/ 1 a))

prune815.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms