Details

Time bar (total: 19.5s)

sample191.0ms

Algorithm
intervals
Results
48.0ms99×body1280valid
45.0ms725×body80nan
16.0ms68×body640valid
14.0ms39×body2560valid
3.0ms18×body320valid
1.0ms13×body160valid
1.0ms19×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11411
21911
done1911

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 48.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (- x y))
3.8b
(- (sqrt (- x y)) (sqrt (- x (* y y))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×sqrt-prod
12×*-un-lft-identity
10×sqrt-div
flip3-- flip--
distribute-lft-out-- difference-of-squares
frac-sub add-log-exp
pow1 add-cube-cbrt
add-cbrt-cube add-exp-log
rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
2 → 40
Calls
2 calls:
14.0ms
(sqrt (- x y))
136.0ms
(- (sqrt (- x y)) (sqrt (- x (* y y))))

series427.0ms

Counts
2 → 6
Calls
2 calls:
132.0ms
(sqrt (- x y))
294.0ms
(- (sqrt (- x y)) (sqrt (- x (* y y))))

simplify2.8s

Counts
46 → 46
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0118862
1258775
2743741
33397719
done5003718

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(+ (sqrt (- x y)) (sqrt (- x (* y y))))
0.0b
(+ (* y y) (+ (- y) 0))
0.3b
(/ (+ (* y y) (+ (- y) 0)) (+ (sqrt (- x y)) (sqrt (- x (* y y)))))

rewrite470.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
25×sqrt-prod
19×add-sqr-sqrt
18×times-frac sqrt-div
16×add-cube-cbrt
15×distribute-lft-out
14×add-log-exp
flip3-- flip--
frac-add
associate-/r* sum-log add-cbrt-cube add-exp-log associate-/r/ distribute-lft-out--
pow1
flip3-+ flip-+
associate-/l*
neg-sub0 +-commutative associate-+r- associate-+l- associate-/l/
cbrt-undiv rem-sqrt-square associate-+r+ clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
13.0ms
(sqrt (- x y))
73.0ms
(+ (sqrt (- x y)) (sqrt (- x (* y y))))
64.0ms
(+ (* y y) (+ (- y) 0))
311.0ms
(/ (+ (* y y) (+ (- y) 0)) (+ (sqrt (- x y)) (sqrt (- x (* y y)))))

series902.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(sqrt (- x y))
275.0ms
(+ (sqrt (- x y)) (sqrt (- x (* y y))))
93.0ms
(+ (* y y) (+ (- y) 0))
402.0ms
(/ (+ (* y y) (+ (- y) 0)) (+ (sqrt (- x y)) (sqrt (- x (* y y)))))

simplify4.4s

Counts
110 → 110
Iterations

Useful iterations: done (4.4s)

IterNodesCost
02152584
15552225
229821994
done50011988

prune676.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
11429
done1429

end0.0ms

sample9.0s

Algorithm
intervals
Results
2.8s26156×body80nan
1.7s2873×body1280valid
1.1s1699×body640valid
1.1s1334×body2560valid
199.0ms928×body320valid
125.0ms656×body80valid
78.0ms510×body160valid