Average Error: 0.0 → 0.0
Time: 12.3s
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 2019010 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 12.0s)Debug log

sample316.0ms

Algorithm
intervals

simplify45.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
45.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune5.0ms

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)

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)

series81.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
81.0ms
(sinh c)

simplify157.0ms

Counts
3 → 13
Calls
3 calls:
Slowest
86.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
37.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
33.0ms
(* 1/2 (- (exp c) (exp (- c))))

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*r*
4×add-cube-cbrt
4×*-un-lft-identity
4×add-sqr-sqrt
2×add-log-exp
2×log1p-expm1-u
2×*-commutative
2×add-exp-log
2×add-cbrt-cube
2×pow1
2×expm1-log1p-u
1×unpow3
1×cube-mult
Counts
2 → 28
Calls
2 calls:
Slowest
1.0ms
(* 1/6 (pow c 3))
1.0ms
(* 1/120 (pow c 5))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(* 1/6 (pow c 3))
21.0ms
(* 1/120 (pow c 5))

simplify31.0ms

Counts
13 → 34
Calls
13 calls:
Slowest
5.0ms
(* 1/6 (pow c 3))
5.0ms
(* 1/6 (pow c 3))
5.0ms
(* 1/6 (pow c 3))
2.0ms
(cbrt (pow c 3))
2.0ms
(sqrt (pow c 3))

prune433.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.7s

Algorithm
intervals