Details

Time bar (total: 29.7s)

sample123.0ms

Algorithm
intervals
Results
42.0ms103×body1280valid
27.0ms244×body80valid
22.0ms83×body640valid
7.0ms38×body320valid
3.0ms22×body160valid

simplify12.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:
3.0ms
(sinh y)
35.0ms
(* (sin x) (/ (sinh y) y))
15.0ms
(/ (sinh y) y)

series414.0ms

Counts
3 → 9
Calls
3 calls:
111.0ms
(sinh y)
175.0ms
(* (sin x) (/ (sinh y) y))
127.0ms
(/ (sinh y) y)

simplify2.7s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0140732
1322689
21040623
33566621
done5001621

prune241.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) y)
0.0b
(/ (sinh y) y)
0.0b
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
16×associate-*r*
13×add-exp-log sqrt-prod add-cbrt-cube
pow1
associate-/r* associate-/l*
sqrt-div add-log-exp
sinh-def associate-*r/ pow-prod-down prod-exp cbrt-unprod div-inv
cbrt-undiv frac-2neg div-exp clear-num associate-/l/
frac-times associate-*l* associate-*l/ *-commutative
Counts
4 → 98
Calls
4 calls:
3.0ms
(sinh y)
14.0ms
(/ (sinh y) y)
14.0ms
(/ (sinh y) y)
104.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series565.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sinh y)
118.0ms
(/ (sinh y) y)
152.0ms
(/ (sinh y) y)
191.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify1.8s

Counts
110 → 110
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02301465
15991247
220821113
done50001083

prune554.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sinh y) (sin x))
14.5b
(/ (* (sinh y) (sin x)) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1
sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
3.0ms
(sinh y)
25.0ms
(* (sinh y) (sin x))
29.0ms
(/ (* (sinh y) (sin x)) y)

series352.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(sinh y)
135.0ms
(* (sinh y) (sin x))
107.0ms
(/ (* (sinh y) (sin x)) y)

simplify3.8s

Counts
58 → 58
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
0117538
1269516
2968445
34772443
done5000443

prune203.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
done1014

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.8s2993×body1280valid
933.0ms2492×body640valid
918.0ms8460×body80valid
296.0ms1258×body320valid
102.0ms656×body160valid