Average Error: 0.0 → 0.0
Time: 18.6s
Precision: 64
Internal Precision: 128
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]
↓
\[\left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)\]

Error

Bits error versus c

Derivation

  1. Initial program 0.0

    \[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]

  2. Initial simplification0.0

    \[\leadsto \left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)\]

  3. Final simplification0.0

    \[\leadsto \left(\left(\sinh c\right) \bmod \left(c - -2.9807307601812193 \cdot 10^{+165} \cdot -2.9807307601812193 \cdot 10^{+165}\right)\right)\]

Reproduce

herbie shell --seed 2018365 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 014"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 2.1s)Debug log

start568.0ms

Algorithm
intervals

setup61.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite3.0ms

Algorithm
rewrite-expression-head
Counts
1 → 10
Calls

1 calls. Slowest were:

1.0ms
(sinh c)

series96.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

95.0ms
(sinh c)

simplify169.0ms

Counts
3 → 13
Calls

3 calls. Slowest were:

71.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
52.0ms
(* 1/2 (- (exp c) (exp (- c))))
44.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))

prune144.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 1/6 (pow c 3))
0.0b
(* 1/120 (pow c 5))
0.0b
(+ (* 1/120 (pow c 5)) c)

rewrite9.0ms

Algorithm
rewrite-expression-head
Counts
3 → 41
Calls

3 calls. Slowest were:

4.0ms
(+ (* 1/120 (pow c 5)) c)
3.0ms
(* 1/6 (pow c 3))
2.0ms
(* 1/120 (pow c 5))

series135.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

71.0ms
(+ (* 1/120 (pow c 5)) c)
38.0ms
(* 1/120 (pow c 5))
26.0ms
(* 1/6 (pow c 3))

simplify52.0ms

Counts
16 → 50
Calls

16 calls. Slowest were:

5.0ms
(* 1/6 (pow c 3))
5.0ms
(* 1/6 (pow c 3))
5.0ms
(* 1/6 (pow c 3))

prune751.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms