Details

Time bar (total: 10.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
285
done85

prune2.0ms

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
(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
1 → 13
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(sqrt (fabs (- x y)))

simplify2.5s

Counts
16 → 16
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
020115
12799
23196
33596
44196
55196
67296
713396
834096
9127196
done500096

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
89×sqrt-prod
56×add-sqr-sqrt
41×sqrt-pow1
32×pow1
21×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
1.0ms
(sqrt (sqrt (fabs (- x y))))
1.0ms
(sqrt (sqrt (fabs (- x y))))
12.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
42.0ms
(sqrt (sqrt (fabs (- x y))))
46.0ms
(sqrt (sqrt (fabs (- x y))))
9.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify1.6s

Counts
138 → 138
Iterations

Useful iterations: 4 (628.0ms)

IterNodesCost
0811826
11281078
22861003
3723978
41417956
done5001956

prune186.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (fabs (- x y))))
0.3b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
7×pow1
6×add-exp-log add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 66
Calls
4 calls:
1.0ms
(sqrt (cbrt (fabs (- x y))))
6.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (cbrt (fabs (- x y))))
55.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
45.0ms
(cbrt (fabs (- x y)))
41.0ms
(cbrt (fabs (- x y)))

simplify2.3s

Counts
78 → 78
Iterations

Useful iterations: 4 (779.0ms)

IterNodesCost
068924
1114864
2300782
3706774
42043772
done5001772

prune164.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y))))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.6b
(cbrt (fabs (- x y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt sqrt-prod
14×add-cube-cbrt *-un-lft-identity
12×associate-*r*
6×pow1 add-exp-log add-cbrt-cube
4×add-log-exp unswap-sqr
3×pow1/3 associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 69
Calls
4 calls:
8.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y))))))
1.0ms
(cbrt (sqrt (fabs (- x y))))
1.0ms
(cbrt (sqrt (fabs (- x y))))
1.0ms
(cbrt (fabs (- x y)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y))))))
43.0ms
(cbrt (sqrt (fabs (- x y))))
41.0ms
(cbrt (sqrt (fabs (- x y))))
40.0ms
(cbrt (fabs (- x y)))

simplify2.6s

Counts
81 → 81
Iterations

Useful iterations: 4 (742.0ms)

IterNodesCost
0831089
11361028
2330949
3725927
42345925
done5001925

prune224.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample248.0ms

Algorithm
intervals
Results
125.0ms8000×body80valid