Details

Time bar (total: 3.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms343×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
2105
3125
done125

prune2.0ms

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
(- x (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
Counts
1 → 21
Calls
1 calls:
3.0ms
(- x (* y y))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- x (* y y))

simplify1.9s

Counts
24 → 24
Iterations

Useful iterations: 4 (889.0ms)

IterNodesCost
042213
197207
2251180
3749175
42527156
done5000156

prune45.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (sqrt x) y)
0.1b
(* (+ (sqrt x) y) (- (sqrt x) y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
54×prod-diff
52×add-sqr-sqrt
48×*-un-lft-identity
42×add-cube-cbrt
32×sqrt-prod
20×distribute-rgt-in distribute-lft-in
fma-neg associate-*r*
pow1 add-exp-log frac-times flip3-- associate-*l* add-cbrt-cube flip-- add-log-exp difference-of-squares
sub-neg flip3-+ flip-+
expm1-log1p-u associate-*r/ associate-*l/ log1p-expm1-u distribute-lft-out--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 113
Calls
2 calls:
6.0ms
(- (sqrt x) y)
36.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series151.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (sqrt x) y)
109.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify782.0ms

Counts
119 → 119
Iterations

Useful iterations: done (778.0ms)

IterNodesCost
01742500
14901836
214511394
done50001336

prune158.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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
045
done45

end0.0ms

sample316.0ms

Algorithm
intervals
Results
156.0ms10724×body80valid