Details

Time bar (total: 1.4s)

sample89.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.067127%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
8.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
1102
2102

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
3.0ms
(- x (* y y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(- x (* y y))

simplify77.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
07664
123959
264758
3242958
4500258

prune23.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
0.6b
(cbrt (- x (* y y)))
0.6b
(cbrt (- x (* y y)))
0.6b
(cbrt (- x (* y y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
swap-sqr associate-*r* associate-*l* difference-of-squares
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
9.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
2.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))
60.0ms
(cbrt (- x (* y y)))
60.0ms
(cbrt (- x (* y y)))
58.0ms
(cbrt (- x (* y y)))

simplify143.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0308945
1958894
24327825
35001811

prune108.0ms

Filtered
81 candidates to 105 candidates (-29.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0.0b

Counts
108 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (sqrt x) y)
0.0b
(+ (sqrt x) y)
0.2b
(* (+ (sqrt x) y) (- (sqrt x) y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
add-log-exp
associate-*r*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
frac-times flip3-- flip3-+ associate-*l* flip-- flip-+ difference-of-squares
sub-neg
distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ sqrt-prod distribute-lft-out distribute-lft-out--
+-commutative diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
4.0ms
(- (sqrt x) y)
6.0ms
(+ (sqrt x) y)
11.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (sqrt x) y)
5.0ms
(+ (sqrt x) y)
18.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0298434
11328384
25001375

prune68.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done022
Total70373

Merged error: 0.0b

Counts
73 → 3

regimes142.0ms

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
042

end0.0ms

sample328.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.067127%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
138.0ms8000×body80valid
0.0msbody80invalid

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