Details

Time bar (total: 25.2s)

sample111.0ms

Algorithm
intervals
Results
34.0ms74×body1280valid
23.0ms80×body640valid
19.0ms293×body80valid
7.0ms34×body320valid
3.0ms22×body160valid

simplify12.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2307
3677
41357
52567
64607
79777
818647
932637
1044457
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(/ (sinh y) y)
0.0b
(sinh y)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
pow1
associate-*l* associate-/r* associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
19.0ms
(* (cos x) (/ (sinh y) y))
13.0ms
(/ (sinh y) y)
2.0ms
(sinh y)

series335.0ms

Counts
3 → 9
Calls
3 calls:
128.0ms
(* (cos x) (/ (sinh y) y))
122.0ms
(/ (sinh y) y)
85.0ms
(sinh y)

simplify2.3s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0138730
1313687
21003621
33457609
done5001609

prune239.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (/ y (sinh y)))
0.0b
(* (cos x) (/ 1 (/ y (sinh y))))
0.0b
(sinh y)
0.0b
(/ y (sinh y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
sinh-def
pow1 cbrt-undiv prod-exp
associate-/l*
unswap-sqr
rec-exp 1-exp add-log-exp
associate-*l* cbrt-unprod
frac-2neg clear-num
pow-flip associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
4 → 192
Calls
4 calls:
16.0ms
(/ 1 (/ y (sinh y)))
38.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
2.0ms
(sinh y)
8.0ms
(/ y (sinh y))

series394.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(/ 1 (/ y (sinh y)))
111.0ms
(* (cos x) (/ 1 (/ y (sinh y))))
68.0ms
(sinh y)
101.0ms
(/ y (sinh y))

simplify1.8s

Counts
204 → 204
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02892519
16592004
215711757
done50011713

prune462.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (cos x) (/ y (sinh y)))
0.0b
(/ y (sinh y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 add-log-exp
frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
2.0ms
(sinh y)
21.0ms
(/ (cos x) (/ y (sinh y)))
8.0ms
(/ y (sinh y))

series339.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(sinh y)
129.0ms
(/ (cos x) (/ y (sinh y)))
121.0ms
(/ y (sinh y))

simplify1.7s

Counts
119 → 119
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02171546
14551454
214581379
done50001357

prune416.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.8s3007×body1280valid
803.0ms2421×body640valid
776.0ms8569×body80valid
352.0ms1260×body320valid
82.0ms628×body160valid