Details

Time bar (total: 8.6s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
412
311
29
16
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×*-un-lft-identity add-log-exp
3×sum-log distribute-lft-out
1×add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 15
Calls
1 calls:
28.0ms
(+ (+ x y) x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ (+ x y) x)

simplify603.0ms

Counts
18 → 18
Iterations
IterNodes
done5000
31085
2246
181
032

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (+ x (+ x y)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
131.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
10.0ms
(cbrt (+ x (+ x y)))
11.0ms
(cbrt (+ x (+ x y)))
15.0ms
(cbrt (+ x (+ x y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
358.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
291.0ms
(cbrt (+ x (+ x y)))
298.0ms
(cbrt (+ x (+ x y)))
316.0ms
(cbrt (+ x (+ x y)))

simplify619.0ms

Counts
117 → 117
Iterations
IterNodes
done5001
21255
1316
0130

prune671.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
43×sqrt-prod
33×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div add-log-exp
13×add-cube-cbrt
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×sum-log add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-+r+ associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
37.0ms
(sqrt (+ x (+ x y)))
25.0ms
(+ x (+ x y))
22.0ms
(+ x (+ x y))
117.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (+ x (+ x y)))
39.0ms
(+ x (+ x y))
25.0ms
(+ x (+ x y))
62.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

simplify798.0ms

Counts
128 → 128
Iterations
IterNodes
done5002
21381
1281
0119

prune434.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×cbrt-prod
12×distribute-lft-out
8×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ add-log-exp
Counts
4 → 60
Calls
4 calls:
11.0ms
(cbrt (+ x (+ x y)))
10.0ms
(cbrt (+ x (+ x y)))
13.0ms
(cbrt (+ (+ x y) x))
17.0ms
(cbrt (+ (+ x y) x))

series1.2s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt (+ x (+ x y)))
300.0ms
(cbrt (+ x (+ x y)))
314.0ms
(cbrt (+ (+ x y) x))
307.0ms
(cbrt (+ (+ x y) x))

simplify561.0ms

Counts
72 → 72
Iterations
IterNodes
done5000
2693
1192
087

prune734.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes171.0ms

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
done6
16
04

end0.0ms

sample548.0ms

Algorithm
intervals
Results
209.0ms8003×body80valid