Details

Time bar (total: 32.8s)

sample24.0ms

Algorithm
intervals
Results
8.0ms256×pre80true
8.0ms256×body80valid

simplify85.0ms

Counts
1 → 1
Iterations
IterNodes
done167
7167
6153
5131
4105
365
227
111
04

prune5.0ms

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
(* (+ a b) (+ a b))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in expm1-log1p-u distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 43
Calls
1 calls:
26.0ms
(* (+ a b) (+ a b))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ a b) (+ a b))

simplify849.0ms

Counts
46 → 46
Iterations
IterNodes
done2001
32001
2835
1232
065

prune248.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* 2 b) a (fma a a (* b b)))

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma (* 2 b) a (fma a a (* b b)))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (* 2 b) a (fma a a (* b b)))

simplify842.0ms

Counts
14 → 14
Iterations
IterNodes
done2003
52003
4545
3167
286
144
024

prune91.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ a b) (+ a b))
0.4b
(* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b)))
0.5b
(* (* (+ a b) (+ a b)) (* (+ a b) (+ a b)))
0.5b
(cbrt (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))))

rewrite824.0ms

Algorithm
rewrite-expression-head
Rules
4516×frac-times
3030×flip3-+ flip-+
1322×associate-*l/
1178×associate-*r/
787×pow1
728×cbrt-div
343×pow-prod-up
168×pow-prod-down
146×pow-plus
138×pow-sqr
90×pow2
59×add-cbrt-cube add-exp-log
40×prod-exp cbrt-unprod
22×*-un-lft-identity
10×add-sqr-sqrt
9×distribute-rgt-in distribute-lft-in
8×add-cube-cbrt
7×swap-sqr
6×associate-*r* associate-*l* distribute-lft-out
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative unswap-sqr
2×pow3
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 1877
Calls
4 calls:
28.0ms
(* (+ a b) (+ a b))
323.0ms
(* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b)))
95.0ms
(* (* (+ a b) (+ a b)) (* (+ a b) (+ a b)))
223.0ms
(cbrt (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))))

series177.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ a b) (+ a b))
91.0ms
(* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b)))
44.0ms
(* (* (+ a b) (+ a b)) (* (+ a b) (+ a b)))
22.0ms
(cbrt (* (* (* (+ a b) (+ a b)) (* (+ a b) (+ a b))) (* (+ a b) (+ a b))))

simplify1.8s

Counts
1889 → 1889
Iterations
IterNodes
done2211
02211

prune24.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ a b))
0.0b
(sqrt (+ a b))
0.3b
(* (sqrt (+ a b)) (+ a b))
0.4b
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
30×pow1
23×add-sqr-sqrt
21×*-un-lft-identity
17×sqrt-prod
16×associate-*r/
15×pow-prod-up
14×associate-*l*
12×sqrt-pow1 pow1/2
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
6×pow-plus
5×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
4×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square cube-unmult *-commutative hypot-def unswap-sqr
Counts
4 → 146
Calls
4 calls:
6.0ms
(sqrt (+ a b))
5.0ms
(sqrt (+ a b))
46.0ms
(* (sqrt (+ a b)) (+ a b))
58.0ms
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(sqrt (+ a b))
59.0ms
(sqrt (+ a b))
56.0ms
(* (sqrt (+ a b)) (+ a b))
41.0ms
(* (sqrt (+ a b)) (* (sqrt (+ a b)) (+ a b)))

simplify1.1s

Counts
158 → 158
Iterations
IterNodes
done2004
32004
21885
1596
0188

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes127.0ms

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
done8
18
07

end0.0ms

sample808.0ms

Algorithm
intervals
Results
334.0ms8000×pre80true
321.0ms8000×body80valid