Details

Time bar (total: 2.7s)

sample13.0ms

Algorithm
intervals
Results
5.0ms345×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
1102
2102

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×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))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(- x (* y y))

simplify95.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
07664
123959
264758
3242958
4500358

prune33.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0b

Counts
17 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
30×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 93
Calls
4 calls:
3.0ms
(cbrt (- x (* y y)))
3.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))
9.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
325.0ms
(cbrt (- x (* y y)))
317.0ms
(cbrt (- x (* y y)))
318.0ms
(cbrt (- x (* y y)))
372.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))

simplify151.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
0283900
1973849
24428798
35001793

prune245.0ms

Filtered
105 candidates to 81 candidates (77.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0b

Counts
108 → 3

localize6.0ms

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
7×add-log-exp
6×associate-*r*
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×frac-times flip3-- flip3-+ associate-*l* flip-- flip-+ difference-of-squares
3×sub-neg
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ sqrt-prod distribute-lft-out distribute-lft-out--
1×+-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)
4.0ms
(- (sqrt x) y)
12.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series195.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (sqrt x) y)
46.0ms
(- (sqrt x) y)
112.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify47.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0297440
11221380
25001369

prune136.0ms

Filtered
70 candidates to 52 candidates (74.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done022
Total70373

Merged error: 0b

Counts
73 → 3

regimes59.0ms

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

sample319.0ms

Algorithm
intervals
Results
163.0ms10550×body80valid