Details

Time bar (total: 11.1s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
285
done85

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(sqrt (fabs (- x y)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(sqrt (fabs (- x y)))

simplify1.7s

Counts
18 → 18
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
022127
129111
233108
337108
445108
579108
6157108
7338108
81062108
done5000108

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite25.0ms

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:
7.0ms
(sqrt (cbrt (fabs (- x y))))
14.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(sqrt (cbrt (fabs (- x y))))
76.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
64.0ms
(cbrt (fabs (- x y)))
46.0ms
(cbrt (fabs (- x y)))

simplify5.4s

Counts
86 → 86
Iterations

Useful iterations: 3 (966.0ms)

IterNodesCost
074990
1128924
2565844
34051838
done5001838

prune309.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
94×sqrt-prod
65×add-sqr-sqrt
59×cbrt-prod
25×add-cube-cbrt *-un-lft-identity
19×pow1
16×swap-sqr unswap-sqr
14×sqrt-pow1
12×associate-*r* associate-*l*
9×pow1/3
8×pow1/2
6×add-exp-log pow-prod-up add-cbrt-cube
4×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 131
Calls
4 calls:
3.0ms
(cbrt (sqrt (fabs (- x y))))
3.0ms
(cbrt (sqrt (fabs (- x y))))
2.0ms
(cbrt (fabs (- x y)))
51.0ms
(* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(cbrt (sqrt (fabs (- x y))))
60.0ms
(cbrt (sqrt (fabs (- x y))))
66.0ms
(cbrt (fabs (- x y)))
82.0ms
(* (sqrt (cbrt (sqrt (fabs (- x y))))) (sqrt (cbrt (sqrt (fabs (- x y))))))

simplify1.5s

Counts
143 → 143
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01092375
11911640
29661524
done50011480

prune389.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes117.0ms

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

sample799.0ms

Algorithm
intervals
Results
506.0ms8000×body80valid