Details

Time bar (total: 10.9s)

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (- x y)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(sqrt (fabs (- x y)))

simplify2.5s

Counts
18 → 18
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
022127
129111
233108
337108
443108
553108
674108
7133108
8342108
91260108
done5000108

prune42.0ms

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)))))

rewrite20.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
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)))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (fabs (- x y)))
43.0ms
(sqrt (sqrt (fabs (- x y))))
43.0ms
(sqrt (sqrt (fabs (- x y))))
13.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify1.7s

Counts
146 → 146
Iterations

Useful iterations: 4 (637.0ms)

IterNodesCost
0871894
11341126
22901055
37391030
414291008
done50001008

prune214.0ms

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)))

rewrite12.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 74
Calls
4 calls:
1.0ms
(sqrt (cbrt (fabs (- x y))))
8.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series189.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (cbrt (fabs (- x y))))
53.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
46.0ms
(cbrt (fabs (- x y)))
43.0ms
(cbrt (fabs (- x y)))

simplify2.5s

Counts
86 → 86
Iterations

Useful iterations: 4 (774.0ms)

IterNodesCost
074990
1120930
2307848
3709840
42042838
done5000838

prune187.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow1/3 associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
10.0ms
(* (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)))

series185.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (sqrt (fabs (- x y))))))
41.0ms
(cbrt (sqrt (fabs (- x y))))
44.0ms
(cbrt (sqrt (fabs (- x y))))
41.0ms
(cbrt (fabs (- x y)))

simplify2.6s

Counts
89 → 89
Iterations

Useful iterations: 4 (813.0ms)

IterNodesCost
0891159
11421098
23351019
3743997
42473995
done5000995

prune267.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes109.0ms

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

sample261.0ms

Algorithm
intervals
Results
135.0ms8000×body80valid