Details

Time bar (total: 1.5s)

sample274.0ms

Algorithm
intervals
Results
9.0ms343×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
1163
2263
3333
4333

prune3.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite8.0ms

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:
6.0ms
(- (* x x) y)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(- (* x x) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
07363
121456
265056
3190056
4500256

prune48.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×sqrt-prod
18×pow1
12×sqrt-div
11×add-cube-cbrt *-un-lft-identity
9×swap-sqr
8×flip3-- sqrt-pow1 pow1/2 flip--
7×associate-*r* associate-*l* add-log-exp
6×difference-of-squares
5×add-exp-log pow-prod-up add-cbrt-cube
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 86
Calls
3 calls:
4.0ms
(- (* x x) y)
4.0ms
(- (* x x) y)
13.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series67.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* x x) y)
25.0ms
(- (* x x) y)
21.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify170.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
0174485
1646436
23798422
35001409

prune128.0ms

Filtered
95 candidates to 49 candidates (51.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done011
Total95398

Merged error: 0b

Counts
98 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (+ x (sqrt y)) (- x (sqrt y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity
6×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ difference-of-squares
1×pow-prod-down prod-exp sqrt-prod *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
10.0ms
(* (+ x (sqrt y)) (- x (sqrt y)))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* (+ x (sqrt y)) (- x (sqrt y)))

simplify32.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0209282
11002241
25002230

prune63.0ms

Filtered
37 candidates to 27 candidates (73.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done022
Total37340

Merged error: 0b

Counts
40 → 3

regimes73.0ms

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
073
173

end0.0ms

sample395.0ms

Algorithm
intervals
Results
234.0ms10609×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid