Average Error: 0.0 → 0.0
Time: 13.0s
Precision: 64
Internal Precision: 128
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]
↓
\[\left(\left(\sinh c\right) \bmod \left(c - {\left( -2.9807307601812193 \cdot 10^{+165} \right)}^{2}\right)\right)\]

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019016 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 12.6s)Debug log

sample374.0ms

Algorithm
intervals
Results
525×(pre true 80)
267×(body exit 10240)
258×(body real 80)

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-log-exp
1×log1p-expm1-u
1×add-cube-cbrt
1×add-exp-log
1×add-cbrt-cube
1×*-un-lft-identity
1×sinh-def
1×pow1
1×expm1-log1p-u
1×add-sqr-sqrt
Counts
1 → 10
Calls
1 calls:
Slowest
0.0ms
(sinh c)

series80.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
80.0ms
(sinh c)

simplify159.0ms

Counts
3 → 13
Calls
3 calls:
Slowest
60.0ms
(* 1/2 (- (exp c) (exp (- c))))
57.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
40.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))

prune108.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*r*
6×add-log-exp
6×add-cube-cbrt
6×*-un-lft-identity
6×add-sqr-sqrt
4×log1p-expm1-u
4×add-exp-log
4×add-cbrt-cube
4×pow1
4×expm1-log1p-u
2×flip-+
2×*-commutative
2×flip3-+
2×fma-def
2×+-commutative
1×unpow3
1×sum-log
1×associate-+r+
1×cube-mult
Counts
4 → 56
Calls
4 calls:
Slowest
13.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
4.0ms
(+ (* 1/120 (pow c 5)) c)
3.0ms
(* 1/6 (pow c 3))
2.0ms
(* 1/120 (pow c 5))

series138.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
56.0ms
(+ (* 1/120 (pow c 5)) c)
34.0ms
(* 1/6 (pow c 3))
25.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
23.0ms
(* 1/120 (pow c 5))

simplify325.0ms

Counts
20 → 68
Calls
20 calls:
Slowest
89.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
60.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
53.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
51.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
11.0ms
(* 1/6 (pow c 3))

prune746.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample10.5s

Algorithm
intervals
Results
15887×(pre true 80)
8004×(body real 80)
7861×(body exit 10240)
6×(body real 5120)
5×(body real 2560)
4×(body real 640)
4×(body real 1280)
3×(body real 320)