Details

Time bar (total: 7.2s)

sample24.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune3.0ms

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
(/ (- x y) (+ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 47
Calls
1 calls:
27.0ms
(/ (- x y) (+ x y))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- x y) (+ x y))

simplify1.4s

Counts
50 → 50
Iterations
IterNodes
done5004
32479
2565
1194
079

prune113.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out-- insert-posit16
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 97
Calls
3 calls:
7.0ms
(/ y (+ x y))
7.0ms
(/ x (+ x y))
38.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series213.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ y (+ x y))
63.0ms
(/ x (+ x y))
90.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.3s

Counts
106 → 106
Iterations
IterNodes
done5004
33622
2922
1290
0133

prune343.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (+ x y)) (* (sqrt (/ y (+ x y))) (sqrt (/ y (+ x y)))))
0.1b
(* (sqrt (/ y (+ x y))) (sqrt (/ y (+ x y))))
6.3b
(sqrt (/ y (+ x y)))
6.3b
(sqrt (/ y (+ x y)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
114×*-un-lft-identity
97×add-sqr-sqrt
93×times-frac
60×add-cube-cbrt
29×swap-sqr
24×distribute-lft-out
21×pow1 associate-*r* associate-*l*
12×associate-/r/
10×sqrt-pow1 pow1/2 sqrt-div
9×unswap-sqr
6×flip3-+ add-cbrt-cube add-exp-log flip-+ div-inv add-log-exp
5×pow-prod-up
4×rem-sqrt-square insert-posit16
3×pow-prod-down pow-sqr frac-sub
2×frac-times associate-*l/ associate-*r/ difference-of-squares
1×pow2 sub-neg rem-square-sqrt pow-plus flip3-- sqrt-unprod diff-log prod-exp *-commutative cbrt-unprod flip--
Counts
4 → 189
Calls
4 calls:
45.0ms
(- (/ x (+ x y)) (* (sqrt (/ y (+ x y))) (sqrt (/ y (+ x y)))))
32.0ms
(* (sqrt (/ y (+ x y))) (sqrt (/ y (+ x y))))
7.0ms
(sqrt (/ y (+ x y)))
6.0ms
(sqrt (/ y (+ x y)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(- (/ x (+ x y)) (* (sqrt (/ y (+ x y))) (sqrt (/ y (+ x y)))))
60.0ms
(* (sqrt (/ y (+ x y))) (sqrt (/ y (+ x y))))
85.0ms
(sqrt (/ y (+ x y)))
83.0ms
(sqrt (/ y (+ x y)))

simplify1.9s

Counts
201 → 201
Iterations
IterNodes
done5107
33619
21050
1385
0202

prune629.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

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
done7
17
06

end0.0ms

sample629.0ms

Algorithm
intervals
Results
461.0ms8000×body80valid