Details

Time bar (total: 12.0s)

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
05

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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 add-log-exp
Counts
1 → 13
Calls
1 calls:
2.0ms
(sqrt (fabs (- x y)))

series20.0ms

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

simplify2.9s

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

prune74.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))))

rewrite30.0ms

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×add-log-exp
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (sqrt (fabs (- x y))))
3.0ms
(sqrt (sqrt (fabs (- x y))))
18.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (fabs (- x y)))
63.0ms
(sqrt (sqrt (fabs (- x y))))
68.0ms
(sqrt (sqrt (fabs (- x y))))
20.0ms
(* (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))))

simplify2.8s

Counts
138 → 138
Iterations
IterNodes
done5000
41209
3519
2273
1150
081

prune447.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fabs (- x y))))
0.3b
(* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))))
0.5b
(* (cbrt (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
0.6b
(cbrt (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
45×sqrt-prod
39×add-sqr-sqrt
19×pow1
18×associate-*r*
15×*-un-lft-identity sqrt-pow1 add-cube-cbrt
10×associate-*l*
9×pow1/2 unswap-sqr
8×add-exp-log
7×add-cbrt-cube
6×pow-prod-up
4×pow3 pow-prod-down add-log-exp
2×cbrt-prod rem-sqrt-square prod-exp *-commutative rem-cbrt-cube cbrt-unprod
1×pow1/3 sqrt-unprod
Counts
4 → 100
Calls
4 calls:
3.0ms
(sqrt (sqrt (fabs (- x y))))
22.0ms
(* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))))
15.0ms
(* (cbrt (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
7.0ms
(cbrt (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y))))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (sqrt (fabs (- x y))))
80.0ms
(* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))))
15.0ms
(* (cbrt (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y)))))) (sqrt (sqrt (fabs (- x y)))))
65.0ms
(cbrt (* (sqrt (fabs (- x y))) (sqrt (sqrt (fabs (- x y))))))

simplify3.7s

Counts
112 → 112
Iterations
IterNodes
done5044
64578
51572
4866
3609
2426
1196
093

prune438.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes224.0ms

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

sample749.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid