Details

Time bar (total: 11.6s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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 *-un-lft-identity add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log insert-posit16 add-log-exp
Counts
1 → 14
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series11.0ms

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

simplify3.2s

Counts
17 → 17
Iterations
IterNodes
done5000
91121
8388
7188
6113
556
444
336
232
128
021

prune70.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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×*-un-lft-identity pow1/2 add-cube-cbrt
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-cbrt-cube add-exp-log
5×rem-sqrt-square pow-prod-down pow-sqr
4×insert-posit16 add-log-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 130
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
1.0ms
(sqrt (sqrt (fabs (- x y))))
12.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
61.0ms
(sqrt (sqrt (fabs (- x y))))
78.0ms
(sqrt (sqrt (fabs (- x y))))
15.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify3.1s

Counts
142 → 142
Iterations
IterNodes
done5000
41210
3528
2288
1156
084

prune403.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
0.6b
(cbrt (fabs (- x y)))
0.6b
(cbrt (fabs (- x y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
14×*-un-lft-identity add-cube-cbrt
13×pow1 associate-*r*
12×associate-*l*
10×cbrt-prod
8×add-cbrt-cube add-exp-log
6×pow-prod-down unswap-sqr
4×sqrt-pow1 insert-posit16 add-log-exp
2×pow1/2 pow1/3 prod-exp *-commutative cbrt-unprod
1×sqrt-unprod
Counts
4 → 83
Calls
4 calls:
17.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
36.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series732.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
105.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))))
70.0ms
(cbrt (fabs (- x y)))
489.0ms
(cbrt (fabs (- x y)))

simplify2.6s

Counts
95 → 95
Iterations
IterNodes
done5000
42743
31167
2537
1195
099

prune475.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes214.0ms

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
05

end0.0ms

sample504.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid