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 2018360 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 2.6s)Debug log

start449.0ms

Algorithm
intervals

setup424.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite0.0ms

Algorithm
rewrite-expression-head
Counts
1 → 10
Calls

1 calls. Slowest were:

0.0ms
(sinh c)

series64.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

64.0ms
(sinh c)

simplify166.0ms

Counts
3 → 13
Calls

3 calls. Slowest were:

67.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
64.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
33.0ms
(* 1/2 (- (exp c) (exp (- c))))

prune123.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 1/6 (pow c 3))
0.0b
(* 1/120 (pow c 5))
0.0b
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))

rewrite17.0ms

Algorithm
rewrite-expression-head
Counts
3 → 43
Calls

3 calls. Slowest were:

11.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
3.0ms
(* 1/6 (pow c 3))
2.0ms
(* 1/120 (pow c 5))

series74.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

30.0ms
(* 1/120 (pow c 5))
23.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
21.0ms
(* 1/6 (pow c 3))

simplify358.0ms

Counts
17 → 52
Calls

17 calls. Slowest were:

100.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
87.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
76.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))

prune838.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms