Details

Time bar (total: 12.6s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms233×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 sqrt-div add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 flip3-+ add-cbrt-cube pow1/2 add-exp-log flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
1 → 17
Calls
1 calls:
5.0ms
(sqrt (+ x y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(sqrt (+ x y))

simplify2.6s

Counts
20 → 20
Iterations
IterNodes
done5000
54983
41839
3701
2272
1116
054

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.4b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×cbrt-prod
16×sqrt-prod
12×add-cube-cbrt
10×associate-*r*
8×cbrt-div
7×pow1
6×add-cbrt-cube add-exp-log
4×flip3-+ sqrt-div flip-+ insert-posit16 distribute-lft-out add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 82
Calls
4 calls:
5.0ms
(sqrt (cbrt (+ x y)))
30.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
5.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series798.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(sqrt (cbrt (+ x y)))
254.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
146.0ms
(cbrt (+ x y))
169.0ms
(cbrt (+ x y))

simplify1.8s

Counts
94 → 94
Iterations
IterNodes
done5000
32696
2925
1322
0147

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 distribute-lft-out add-log-exp
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series654.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt (+ x y))
135.0ms
(cbrt (+ x y))
150.0ms
(cbrt (+ x y))
192.0ms
(cbrt (+ x y))

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done5000
41946
3753
2314
1128
058

prune350.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x y))
0.2b
(* (sqrt (+ x y)) (+ x y))
18.8b
(cbrt (* (sqrt (+ x y)) (+ x y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt sqrt-div
13×*-un-lft-identity flip3-+ flip-+
10×pow1
9×sqrt-prod
8×frac-times cbrt-div
7×associate-*l* add-cube-cbrt
5×add-cbrt-cube add-exp-log
4×associate-*r* associate-*l/ associate-*r/
3×sqrt-pow1 pow1/2 insert-posit16 distribute-lft-out add-log-exp
2×pow-plus cube-unmult pow-prod-up unswap-sqr
1×cbrt-prod distribute-rgt-in rem-sqrt-square distribute-lft-in pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
3 → 76
Calls
3 calls:
5.0ms
(sqrt (+ x y))
36.0ms
(* (sqrt (+ x y)) (+ x y))
9.0ms
(cbrt (* (sqrt (+ x y)) (+ x y)))

series341.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(sqrt (+ x y))
54.0ms
(* (sqrt (+ x y)) (+ x y))
250.0ms
(cbrt (* (sqrt (+ x y)) (+ x y)))

simplify2.4s

Counts
85 → 85
Iterations
IterNodes
done5001
33706
21115
1395
0148

prune306.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample976.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid
334.0ms8062×body80nan