Average Error: 0.0 → 0.0
Time: 15.1s
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 2019022 +o rules:numerics
(FPCore (c)
  :name "Random Jason Timeout Test 014"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 14.6s)Debug log

sample449.0ms

Algorithm
intervals
Results
290.0ms237×body10240exit
34.0ms256×body80valid
2.0ms1×body5120valid
0.0ms1×body1280valid

simplify30.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
29.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite4.0ms

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
2.0ms
(sinh c)

series721.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
721.0ms
(sinh c)

simplify202.0ms

Counts
3 → 13
Calls
3 calls:
Slowest
86.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
59.0ms
(* 1/2 (- (exp c) (exp (- c))))
55.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh c)
0.0b
(expm1 (log1p (sinh c)))
0.0b
(log1p (sinh c))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×expm1-log1p-u
3×add-log-exp
3×log1p-expm1-u
3×add-cube-cbrt
3×add-exp-log
3×add-cbrt-cube
3×*-un-lft-identity
3×pow1
3×add-sqr-sqrt
1×expm1-udef
1×log1p-expm1
1×sinh-def
1×expm1-log1p
1×log1p-udef
Counts
3 → 32
Calls
3 calls:
Slowest
1.0ms
(log1p (sinh c))
0.0ms
(sinh c)
0.0ms
(expm1 (log1p (sinh c)))

series492.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
268.0ms
(expm1 (log1p (sinh c)))
134.0ms
(log1p (sinh c))
90.0ms
(sinh c)

simplify904.0ms

Counts
10 → 41
Calls
10 calls:
Slowest
342.0ms
(- (+ (* 1/2 (pow c 3)) c) (* 1/2 (pow c 2)))
130.0ms
(log (- (+ (* 1/2 (exp c)) 1) (* 1/2 (exp (- c)))))
110.0ms
(log (- (+ (* 1/2 (exp c)) 1) (* 1/2 (exp (* -1 c)))))
68.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
68.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))

prune474.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*r*
5×add-log-exp
5×add-cube-cbrt
5×*-un-lft-identity
5×add-sqr-sqrt
3×log1p-expm1-u
3×add-exp-log
3×add-cbrt-cube
3×pow1
3×expm1-log1p-u
2×*-commutative
1×flip-+
1×unpow3
1×flip3-+
1×fma-def
1×sum-log
1×associate-+r+
1×+-commutative
1×cube-mult
Counts
3 → 43
Calls
3 calls:
Slowest
6.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
1.0ms
(* 1/6 (pow c 3))
1.0ms
(* 1/120 (pow c 5))

series95.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
39.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
35.0ms
(* 1/120 (pow c 5))
22.0ms
(* 1/6 (pow c 3))

simplify391.0ms

Counts
17 → 52
Calls
17 calls:
Slowest
122.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
83.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
80.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
41.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
11.0ms
(* 1/6 (pow c 3))

prune613.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

2.7b
(exp (log (sinh c)))
0.0b
(sinh c)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×add-cube-cbrt
4×*-un-lft-identity
4×exp-prod
4×add-sqr-sqrt
3×exp-sum
3×log-prod
3×pow1
2×add-log-exp
2×log1p-expm1-u
2×add-exp-log
2×add-cbrt-cube
2×sinh-def
2×expm1-log1p-u
1×rem-exp-log
1×log-pow
1×exp-diff
1×log-div
Counts
2 → 28
Calls
2 calls:
Slowest
4.0ms
(exp (log (sinh c)))
0.0ms
(sinh c)

series141.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
81.0ms
(exp (log (sinh c)))
59.0ms
(sinh c)

simplify436.0ms

Counts
14 → 34
Calls
14 calls:
Slowest
70.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
66.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
49.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
46.0ms
(* 1/2 (- (exp c) (exp (- c))))
45.0ms
(exp (* (cbrt (log (sinh c))) (cbrt (log (sinh c)))))

prune349.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.9s

Algorithm
intervals
Results
7.7s7798×body10240exit
921.0ms8001×body80valid
6.0ms6×body2560valid
6.0ms4×body5120valid
4.0ms5×body1280valid
2.0ms4×body320valid
1.0ms2×body640valid
0.0ms2×body160valid