Average Error: 0.0 → 0.0
Time: 16.8s
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 014"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 16.4s)Debug log

sample921.0ms

Algorithm
intervals
Results
670.0ms237×body10240exit
161.0ms256×body80valid
4.0ms1×body5120valid
1.0ms1×body1280valid

simplify23.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
22.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite3.0ms

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)

series66.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
66.0ms
(sinh c)

simplify101.0ms

Counts
3 → 11
Calls
3 calls:
Slowest
38.0ms
(* 1/2 (- (exp c) (exp (- c))))
31.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
31.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))

prune98.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite17.0ms

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
12.0ms
(+ (* 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))

series75.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
29.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
27.0ms
(* 1/120 (pow c 5))
18.0ms
(* 1/6 (pow c 3))

simplify217.0ms

Counts
17 → 45
Calls
17 calls:
Slowest
67.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
38.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
37.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
30.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
11.0ms
(* 1/6 (pow c 3))

prune472.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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

series153.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
84.0ms
(sinh c)
68.0ms
(exp (log (sinh c)))

simplify349.0ms

Counts
14 → 30
Calls
14 calls:
Slowest
54.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
46.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
43.0ms
(* 1/2 (- (exp c) (exp (- c))))
41.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))
39.0ms
(exp (* (cbrt (log (sinh c))) (cbrt (log (sinh c)))))

prune316.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite42.0ms

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
35.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (sinh c)))))
2.0ms
(exp (log (sinh c)))
2.0ms
(exp (log (sinh c)))
2.0ms
(exp (log (sinh c)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(exp (log (sinh c)))
85.0ms
(exp (log (sinh c)))
58.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (sinh c)))))
55.0ms
(exp (log (sinh c)))

simplify2.9s

Counts
45 → 77
Calls
45 calls:
Slowest
484.0ms
(cbrt (* (* (exp (log (- (exp c) (exp (- c))))) (exp (log (- (exp c) (exp (- c)))))) (exp (log (- (exp c) (exp (- c)))))))
371.0ms
(cbrt (* (exp (log (sinh c))) (exp (log (sinh c)))))
296.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (- (exp c) (exp (- c)))))) (exp (log (- (exp c) (exp (- c)))))))
250.0ms
(cbrt (* (* (exp (log (- (exp c) (exp (- c))))) (exp (log (sinh c)))) (exp (log (sinh c)))))
228.0ms
(cbrt (* (* (exp (log (sinh c))) (exp (log (sinh c)))) (exp (log (- (exp c) (exp (- c)))))))

prune899.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.2s

Algorithm
intervals
Results
8.1s7798×body10240exit
932.0ms8001×body80valid
6.0ms4×body5120valid
6.0ms6×body2560valid
3.0ms5×body1280valid
1.0ms4×body320valid
1.0ms2×body640valid
1.0ms2×body160valid