Details

Time bar (total: 2.0s)

sample20.0ms

Algorithm
intervals
Results
6.0ms250×body80nan
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity sqrt-prod
3×add-sqr-sqrt
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
4.0ms
(sqrt (+ x y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(sqrt (+ x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
011389
127581
283678
3236173
4500273

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
56×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×frac-times add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
4.0ms
(sqrt (+ x y))
7.0ms
(sqrt (sqrt (+ x y)))
4.0ms
(sqrt (sqrt (+ x y)))
25.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series469.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ x y))
201.0ms
(sqrt (sqrt (+ x y)))
196.0ms
(sqrt (sqrt (+ x y)))
36.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify49.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0329840
11353762
25002746

prune420.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x y) (+ x y))
32.6b
(pow (* (+ x y) (+ x y)) (/ 1/2 2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
17×pow1
15×add-sqr-sqrt
13×add-cube-cbrt pow-unpow
9×times-frac
7×add-exp-log
6×pow-pow flip3-+ swap-sqr flip-+ distribute-lft-out
4×frac-times associate-*r* associate-*l* add-cbrt-cube
2×pow2 pow-plus associate-*r/ pow-prod-down associate-*l/ pow-exp prod-exp pow-sqr pow-prod-up add-log-exp
1×distribute-rgt-in pow-to-exp unpow-prod-down distribute-lft-in *-commutative cbrt-unprod div-inv unswap-sqr sqr-pow
Counts
2 → 71
Calls
2 calls:
16.0ms
(* (+ x y) (+ x y))
8.0ms
(pow (* (+ x y) (+ x y)) (/ 1/2 2))

series101.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ x y) (+ x y))
87.0ms
(pow (* (+ x y) (+ x y)) (/ 1/2 2))

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0360376
11543342
25001331

prune111.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152

end0.0ms

sample468.0ms

Algorithm
intervals
Results
123.0ms8000×body80valid
108.0ms7874×body80nan