Average Error: 0.0 → 0.0
Time: 21.6s
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 2019021 
(FPCore (c)
  :name "Random Jason Timeout Test 014"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 21.2s)Debug log

sample447.0ms

Algorithm
intervals
Results
168.0ms236×body10240exit
167.0ms256×body80valid
2.0ms1×body5120valid
0.0ms1×body640valid

simplify74.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
73.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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
1.0ms
(sinh c)

series446.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
446.0ms
(sinh c)

simplify139.0ms

Counts
3 → 11
Calls
3 calls:
Slowest
52.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
51.0ms
(* 1/2 (- (exp c) (exp (- c))))
35.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-*r*
6×add-log-exp
6×add-cube-cbrt
6×*-un-lft-identity
6×add-sqr-sqrt
4×add-exp-log
4×add-cbrt-cube
4×pow1
2×flip-+
2×*-commutative
2×flip3-+
2×+-commutative
1×unpow3
1×sum-log
1×associate-+r+
1×cube-mult
Counts
4 → 46
Calls
4 calls:
Slowest
11.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
2.0ms
(+ (* 1/120 (pow c 5)) c)
1.0ms
(* 1/6 (pow c 3))
1.0ms
(* 1/120 (pow c 5))

series132.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(+ (* 1/120 (pow c 5)) c)
26.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
19.0ms
(* 1/120 (pow c 5))
19.0ms
(* 1/6 (pow c 3))

simplify201.0ms

Counts
20 → 58
Calls
20 calls:
Slowest
64.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
39.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
34.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
29.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
5.0ms
(* 1/6 (pow c 3))

prune661.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)))

rewrite5.0ms

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×+-commutative
1×cube-mult
Counts
3 → 35
Calls
3 calls:
Slowest
3.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
1.0ms
(* 1/6 (pow c 3))
1.0ms
(* 1/120 (pow c 5))

series101.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
23.0ms
(* 1/120 (pow c 5))
15.0ms
(* 1/6 (pow c 3))

simplify114.0ms

Counts
17 → 44
Calls
17 calls:
Slowest
29.0ms
(* (exp (* 1/6 (pow c 3))) (exp (* 1/120 (pow c 5))))
23.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
21.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
11.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
7.0ms
(* 1/6 (pow c 3))

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

40.9b
(cbrt (* (* (sinh c) (sinh c)) (sinh c)))
0.1b
(* (* (sinh c) (sinh c)) (sinh c))
0.0b
(* (sinh c) (sinh c))
0.0b
(sinh c)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
29×sinh-def
23×pow1
11×add-exp-log
11×associate-*l/
11×add-cbrt-cube
11×frac-times
7×add-cube-cbrt
7×associate-*r/
7×*-un-lft-identity
7×cbrt-div
7×add-sqr-sqrt
6×pow-prod-up
6×associate-*r*
6×pow-plus
4×add-log-exp
4×cbrt-unprod
4×prod-exp
4×pow-prod-down
4×associate-*l*
3×pow2
2×*-commutative
2×pow3
1×rem-cbrt-cube
1×pow1/3
1×cbrt-prod
Counts
4 → 80
Calls
4 calls:
Slowest
10.0ms
(* (* (sinh c) (sinh c)) (sinh c))
7.0ms
(* (sinh c) (sinh c))
6.0ms
(cbrt (* (* (sinh c) (sinh c)) (sinh c)))
0.0ms
(sinh c)

series311.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(* (* (sinh c) (sinh c)) (sinh c))
85.0ms
(* (sinh c) (sinh c))
62.0ms
(cbrt (* (* (sinh c) (sinh c)) (sinh c)))
60.0ms
(sinh c)

simplify7.2s

Counts
63 → 92
Calls
63 calls:
Slowest
481.0ms
(cbrt (* (* (sinh c) (sinh c)) (- (exp c) (exp (- c)))))
478.0ms
(* (* (- (exp c) (exp (- c))) (sinh c)) (sinh c))
476.0ms
(cbrt (* (* (sinh c) (- (exp c) (exp (- c)))) (sinh c)))
466.0ms
(* (- (exp c) (exp (- c))) (sinh c))
445.0ms
(* (* (- (exp c) (exp (- c))) (- (exp c) (exp (- c)))) (sinh c))

prune982.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.5s

Algorithm
intervals
Results
8.4s7712×body10240exit
973.0ms8000×body80valid
14.0ms8×body5120valid
5.0ms7×body2560valid
4.0ms6×body1280valid
1.0ms2×body640valid
0.0ms1×body320valid