Average Error: 0.0 → 0.0
Time: 15.9s
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 
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 15.2s)Debug log

sample300.0ms

Algorithm
intervals
Results
206.0ms237×body10240exit
29.0ms256×body80valid
6.0ms1×body5120valid
1.0ms1×body1280valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
23.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
1×add-log-exp
1×add-cube-cbrt
1×add-exp-log
1×add-cbrt-cube
1×*-un-lft-identity
1×sinh-def
1×pow1
1×add-sqr-sqrt
Counts
1 → 8
Calls
1 calls:
Slowest
2.0ms
(sinh c)

series99.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
98.0ms
(sinh c)

simplify133.0ms

Counts
3 → 11
Calls
3 calls:
Slowest
57.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
37.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
37.0ms
(* 1/2 (- (exp c) (exp (- c))))

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

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))

rewrite16.0ms

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×add-exp-log
3×add-cbrt-cube
3×pow1
2×*-commutative
1×flip-+
1×unpow3
1×flip3-+
1×sum-log
1×associate-+r+
1×+-commutative
1×cube-mult
Counts
3 → 36
Calls
3 calls:
Slowest
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))

series90.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
33.0ms
(* 1/120 (pow c 5))
30.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
27.0ms
(* 1/6 (pow c 3))

simplify258.0ms

Counts
17 → 45
Calls
17 calls:
Slowest
73.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
57.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
56.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
30.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
12.0ms
(* 1/6 (pow c 3))

prune522.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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×add-exp-log
2×add-cbrt-cube
2×sinh-def
1×rem-exp-log
1×log-pow
1×exp-diff
1×log-div
Counts
2 → 24
Calls
2 calls:
Slowest
4.0ms
(exp (log (sinh c)))
0.0ms
(sinh c)

series148.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
85.0ms
(sinh c)
64.0ms
(exp (log (sinh c)))

simplify302.0ms

Counts
14 → 30
Calls
14 calls:
Slowest
47.0ms
(exp (* (cbrt (log (sinh c))) (cbrt (log (sinh c)))))
44.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
33.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
31.0ms
(* 1/2 (- (exp c) (exp (- c))))
29.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))

prune260.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

18.9b
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (sinh c)))))
2.7b
(exp (log (sinh c)))
2.7b
(exp (log (sinh c)))
2.7b
(exp (log (sinh c)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
15×exp-diff
15×sinh-def
15×log-div
12×exp-prod
10×add-cube-cbrt
10×*-un-lft-identity
10×add-sqr-sqrt
9×exp-sum
9×log-prod
7×cbrt-div
7×pow1
5×associate-*l/
5×frac-times
4×add-log-exp
4×add-exp-log
4×add-cbrt-cube
3×rem-exp-log
3×log-pow
3×associate-*r/
1×rem-cbrt-cube
1×pow3
1×pow1/3
1×cbrt-prod
Counts
4 → 65
Calls
4 calls:
Slowest
27.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (sinh c)))))
3.0ms
(exp (log (sinh c)))
2.0ms
(exp (log (sinh c)))
2.0ms
(exp (log (sinh c)))

series280.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(exp (log (sinh c)))
77.0ms
(exp (log (sinh c)))
64.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (sinh c)))))
62.0ms
(exp (log (sinh c)))

simplify2.7s

Counts
45 → 77
Calls
45 calls:
Slowest
413.0ms
(cbrt (* (* (exp (log (- (exp c) (exp (- c))))) (exp (log (- (exp c) (exp (- c)))))) (exp (log (- (exp c) (exp (- c)))))))
355.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (- (exp c) (exp (- c)))))) (exp (log (- (exp c) (exp (- c)))))))
324.0ms
(cbrt (* (exp (log (sinh c))) (exp (log (sinh c)))))
244.0ms
(cbrt (* (* (exp (log (- (exp c) (exp (- c))))) (exp (log (- (exp c) (exp (- c)))))) (exp (log (sinh c)))))
227.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (- (exp c) (exp (- c)))))))

prune894.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample8.7s

Algorithm
intervals
Results
7.6s7798×body10240exit
900.0ms8001×body80valid
6.0ms4×body5120valid
4.0ms6×body2560valid
3.0ms5×body1280valid
1.0ms4×body320valid
1.0ms2×body640valid
0.0ms2×body160valid