Average Error: 0.0 → 0.0
Time: 21.9s
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 2019021 
(FPCore (c)
  :name "Random Jason Timeout Test 002"
  (fmod (sinh c) (- c (pow -2.9807307601812193e+165 2))))

Details

Time bar (total: 21.5s)Debug log

sample310.0ms

Algorithm
intervals
Results
237.0ms236×body10240exit
37.0ms256×body80valid
2.0ms1×body5120valid
1.0ms1×body640valid

simplify26.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
25.0ms
(fmod (sinh c) (- c (pow -2.9807307601812193e+165 2)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b
(sinh c)

rewrite1.0ms

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
0.0ms
(sinh c)

series518.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
518.0ms
(sinh c)

simplify138.0ms

Counts
3 → 11
Calls
3 calls:
Slowest
59.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
41.0ms
(* 1/2 (- (exp c) (exp (- c))))
37.0ms
(* 1/2 (- (exp c) (exp (* -1 c))))

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite10.0ms

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
6.0ms
(+ (* 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))

series144.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
69.0ms
(+ (* 1/120 (pow c 5)) c)
28.0ms
(* 1/6 (pow c 3))
27.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
20.0ms
(* 1/120 (pow c 5))

simplify228.0ms

Counts
20 → 58
Calls
20 calls:
Slowest
57.0ms
(* (exp (* 1/6 (pow c 3))) (exp (+ (* 1/120 (pow c 5)) c)))
44.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
39.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
36.0ms
(+ (* 1/6 (pow c 3)) (+ (* 1/120 (pow c 5)) c))
9.0ms
(* 1/6 (pow c 3))

prune594.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite6.0ms

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))

series90.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
49.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
25.0ms
(* 1/120 (pow c 5))
16.0ms
(* 1/6 (pow c 3))

simplify130.0ms

Counts
17 → 44
Calls
17 calls:
Slowest
33.0ms
(* (exp (* 1/6 (pow c 3))) (exp (* 1/120 (pow c 5))))
17.0ms
(* 1/6 (pow c 3))
12.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
11.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))
11.0ms
(+ (* 1/6 (pow c 3)) (* 1/120 (pow c 5)))

prune469.0ms

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)

rewrite35.0ms

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
19.0ms
(* (* (sinh c) (sinh c)) (sinh c))
7.0ms
(cbrt (* (* (sinh c) (sinh c)) (sinh c)))
6.0ms
(* (sinh c) (sinh c))
0.0ms
(sinh c)

series248.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
67.0ms
(sinh c)
62.0ms
(* (* (sinh c) (sinh c)) (sinh c))
61.0ms
(* (sinh c) (sinh c))
58.0ms
(cbrt (* (* (sinh c) (sinh c)) (sinh c)))

simplify7.6s

Counts
63 → 92
Calls
63 calls:
Slowest
550.0ms
(* (* (- (exp c) (exp (- c))) (sinh c)) (- (exp c) (exp (- c))))
523.0ms
(cbrt (* (* (sinh c) (sinh c)) (- (exp c) (exp (- c)))))
484.0ms
(* (- (exp c) (exp (- c))) (sinh c))
471.0ms
(cbrt (* (* (- (exp c) (exp (- c))) (sinh c)) (sinh c)))
462.0ms
(cbrt (* (* (- (exp c) (exp (- c))) (- (exp c) (exp (- c)))) (sinh c)))

prune815.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.8s

Algorithm
intervals
Results
8.7s7712×body10240exit
945.0ms8000×body80valid
13.0ms8×body5120valid
7.0ms7×body2560valid
4.0ms6×body1280valid
1.0ms2×body640valid
0.0ms1×body320valid