Details

Time bar (total: 14.7s)

sample37.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms248×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
10.0ms
(sqrt (+ x y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(sqrt (+ x y))

simplify5.3s

Counts
22 → 22
Iterations

Useful iterations: 5 (1.3s)

IterNodesCost
055184
1124160
2268155
3571145
41140142
51931141
63367141
done5001141

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
14.0ms
(sqrt (+ x y))
15.0ms
(sqrt (sqrt (+ x y)))
9.0ms
(sqrt (sqrt (+ x y)))
56.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ x y))
290.0ms
(sqrt (sqrt (+ x y)))
255.0ms
(sqrt (sqrt (+ x y)))
60.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify2.6s

Counts
169 → 169
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01682244
13431407
28931335
324551292
done50011266

prune363.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
55.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))

series606.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
142.0ms
(cbrt (+ x y))
137.0ms
(cbrt (+ x y))
153.0ms
(cbrt (+ x y))

simplify3.1s

Counts
115 → 115
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01201316
12571186
26231128
315121051
445361045
done50001042

prune603.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes106.0ms

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
044
154
done54

end0.0ms

sample1.0s

Algorithm
intervals
Results
309.0ms8000×body80valid
266.0ms8257×body80nan