Details

Time bar (total: 3.1s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
5.0ms247×body80nan

simplify4.0ms

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))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
4.0ms
(sqrt (+ x y))

series36.0ms

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

simplify75.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune45.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×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×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
4.0ms
(sqrt (+ x y))
4.0ms
(sqrt (sqrt (+ x y)))
5.0ms
(sqrt (sqrt (+ x y)))
29.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (+ x y))
184.0ms
(sqrt (sqrt (+ x y)))
188.0ms
(sqrt (sqrt (+ x y)))
34.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0345868
11430786
25002772

prune255.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
19.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series532.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
123.0ms
(cbrt (+ x y))
124.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))

simplify140.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0255701
1926660
24357610
35001610

prune398.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot (sqrt x) (sqrt y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(hypot (sqrt x) (sqrt y))

series192.0ms

Counts
1 → 3
Calls
1 calls:
192.0ms
(hypot (sqrt x) (sqrt y))

simplify56.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
011980
139766
2204262
3500162

prune38.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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

sample654.0ms

Algorithm
intervals
Results
201.0ms8000×body80valid
192.0ms8117×body80nan