Details

Time bar (total: 5.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune3.0ms

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)))

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:
2.0ms
(sqrt (fabs (- x y)))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(sqrt (fabs (- x y)))

simplify2.0s

Counts
16 → 16

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))))

rewrite34.0ms

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)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
2.0ms
(sqrt (sqrt (fabs (- x y))))
23.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (fabs (- x y)))
54.0ms
(sqrt (sqrt (fabs (- x y))))
49.0ms
(sqrt (sqrt (fabs (- x y))))
11.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify576.0ms

Counts
138 → 138

prune336.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fabs (- x y))))
0.5b
(* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
0.7b
(pow (sqrt (sqrt (fabs (- x y)))) 3)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
118×sqrt-prod
84×add-sqr-sqrt
72×cbrt-prod
36×unpow-prod-down cube-prod
31×add-cube-cbrt *-un-lft-identity
27×associate-*l* unswap-sqr
11×pow1
9×associate-*r*
8×sqrt-pow1
7×add-exp-log
6×add-cbrt-cube sqr-pow
5×pow-pow
4×pow1/2 add-log-exp
3×cube-mult pow-unpow unpow3
2×rem-sqrt-square
1×pow-to-exp pow1/3 pow-prod-down pow-exp prod-exp *-commutative sqrt-pow2 rem-cbrt-cube cbrt-unprod rem-cube-cbrt
Counts
4 → 166
Calls
4 calls:
3.0ms
(sqrt (sqrt (fabs (- x y))))
51.0ms
(* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))
8.0ms
(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
9.0ms
(pow (sqrt (sqrt (fabs (- x y)))) 3)

series224.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (sqrt (fabs (- x y))))
16.0ms
(* (cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3)) (sqrt (sqrt (fabs (- x y)))))
66.0ms
(cbrt (pow (sqrt (sqrt (fabs (- x y)))) 3))
80.0ms
(pow (sqrt (sqrt (fabs (- x y)))) 3)

simplify611.0ms

Counts
178 → 178

prune420.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify18.0ms

end0.0ms

sample420.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid