Details

Time bar (total: 11.9s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
05

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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 *-un-lft-identity add-cube-cbrt
1×rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log add-log-exp
Counts
1 → 13
Calls
1 calls:
1.0ms
(sqrt (fabs (- x y)))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(sqrt (fabs (- x y)))

simplify2.7s

Counts
16 → 16
Iterations
IterNodes
done5001
91256
8390
7171
696
562
443
335
231
127
020

prune59.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.2b
(* (sqrt (fabs (- x y))) (fabs (- x y)))
23.6b
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
7×*-un-lft-identity add-cube-cbrt sqrt-prod
6×associate-*l*
5×add-cbrt-cube add-exp-log
3×sqrt-pow1 pow1/2 associate-*r* add-log-exp
2×pow-plus cube-unmult pow-prod-up unswap-sqr
1×cbrt-prod rem-sqrt-square pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
3 → 50
Calls
3 calls:
2.0ms
(sqrt (fabs (- x y)))
12.0ms
(* (sqrt (fabs (- x y))) (fabs (- x y)))
4.0ms
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

series93.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(sqrt (fabs (- x y)))
56.0ms
(* (sqrt (fabs (- x y))) (fabs (- x y)))
19.0ms
(cbrt (* (sqrt (fabs (- x y))) (fabs (- x y))))

simplify2.6s

Counts
59 → 59
Iterations
IterNodes
done5000
51685
4625
3391
2217
199
051

prune242.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.3b
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))))
0.5b
(cbrt (fabs (- x y)))
0.6b
(cbrt (sqrt (fabs (- x y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×cbrt-prod
13×*-un-lft-identity add-cube-cbrt
11×sqrt-prod
9×associate-*l*
7×pow1
6×associate-*r* add-exp-log unswap-sqr
4×add-cbrt-cube pow1/3 add-log-exp
2×pow-prod-down
1×rem-sqrt-square sqrt-pow1 pow1/2 cube-unmult prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
17.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (sqrt (fabs (- x y))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (fabs (- x y)))
10.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (fabs (- x y))))
53.0ms
(cbrt (fabs (- x y)))
66.0ms
(cbrt (sqrt (fabs (- x y))))

simplify2.7s

Counts
84 → 84
Iterations
IterNodes
done5000
42719
3832
2399
1116
065

prune367.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))) (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))))
23.1b
(sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))
23.1b
(sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))
23.6b
(cbrt (* (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))) (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
148×sqrt-pow1
131×pow1
63×pow-prod-up
48×pow1/2
37×pow-plus
31×pow-prod-down
18×add-sqr-sqrt
15×pow-sqr
8×*-un-lft-identity cube-unmult add-cube-cbrt
6×add-cbrt-cube add-exp-log sqrt-prod
4×swap-sqr associate-*r* associate-*l* add-log-exp
1×cbrt-prod pow2 rem-square-sqrt pow1/3 sqrt-unprod prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 125
Calls
4 calls:
53.0ms
(* (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))) (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))))
4.0ms
(sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))
7.0ms
(sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))
48.0ms
(cbrt (* (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))) (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))) (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))))
101.0ms
(sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))
89.0ms
(sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))
12.0ms
(cbrt (* (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y)))) (sqrt (* (sqrt (fabs (- x y))) (fabs (- x y))))))

simplify1.7s

Counts
137 → 137
Iterations
IterNodes
done5000
31074
2333
1151
074

prune345.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes232.0ms

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

sample308.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid