Average Error: 0.0 → 0.0
Time: 14.7s
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 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 14.0s)Debug log

sample295.0ms

Algorithm
intervals
Results
243.0ms237×body10240exit
31.0ms256×body80valid
3.0ms1×body5120valid
1.0ms1×body1280valid

simplify41.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
40.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)

series116.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
116.0ms
(sinh c)

simplify121.0ms

Counts
3 → 13
Calls
3 calls:
Slowest
51.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
36.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
32.0ms
(* 1/2 (- (exp c) (exp (- c))))

prune136.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.0ms

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
0.0ms
(log1p (sinh c))
0.0ms
(sinh c)
0.0ms
(expm1 (log1p (sinh c)))

series449.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
263.0ms
(expm1 (log1p (sinh c)))
122.0ms
(log1p (sinh c))
65.0ms
(sinh c)

simplify935.0ms

Counts
10 → 41
Calls
10 calls:
Slowest
349.0ms
(- (+ (* 1/2 (pow c 3)) c) (* 1/2 (pow c 2)))
135.0ms
(log (- (+ (* 1/2 (exp c)) 1) (* 1/2 (exp (- c)))))
98.0ms
(log (- (+ (* 1/2 (exp c)) 1) (* 1/2 (exp (* -1 c)))))
81.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
76.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))

prune446.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

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))

rewrite15.0ms

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
9.0ms
(+ (* 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))

series84.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
39.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
29.0ms
(* 1/120 (pow c 5))
16.0ms
(* 1/6 (pow c 3))

simplify354.0ms

Counts
17 → 52
Calls
17 calls:
Slowest
86.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
82.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
80.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
60.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
6.0ms
(* 1/6 (pow c 3))

prune597.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

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
2.0ms
(exp (log (sinh c)))
0.0ms
(sinh c)

series133.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
74.0ms
(exp (log (sinh c)))
58.0ms
(sinh c)

simplify455.0ms

Counts
14 → 34
Calls
14 calls:
Slowest
80.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
77.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
65.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
54.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
42.0ms
(* 1/2 (- (exp c) (exp (- c))))

prune350.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
8.1s7798×body10240exit
953.0ms8001×body80valid
10.0ms4×body5120valid
6.0ms6×body2560valid
3.0ms5×body1280valid
1.0ms4×body320valid
1.0ms2×body640valid
1.0ms2×body160valid