Details

Time bar (total: 1.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms324×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
1102
2122
3122

prune1.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u difference-of-squares
Counts
1 → 21
Calls
1 calls:
3.0ms
(- x (* y y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- x (* y y))

simplify152.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
097100
128888
2100887
3445572
4500172

prune34.0ms

Filtered
24 candidates to 18 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New22224
Fresh000
Picked011
Done000
Total22325

Merged error: 0b

Counts
25 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (sqrt x) (sqrt x) (- (* y y)))

series140.0ms

Counts
1 → 3
Calls
1 calls:
140.0ms
(fma (sqrt x) (sqrt x) (- (* y y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 3 (35.0ms)

IterNodesCost
07392
121880
2100871
3500270

prune26.0ms

Filtered
13 candidates to 12 candidates (92.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done011
Total13316

Merged error: 0b

Counts
16 → 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))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
54×prod-diff
53×*-un-lft-identity
45×add-cube-cbrt
35×sqrt-prod
20×distribute-rgt-in distribute-lft-in
7×add-log-exp
6×fma-def fma-neg associate-*r*
5×pow1 add-exp-log add-cbrt-cube
4×frac-times flip3-- flip3-+ associate-*l* flip-- flip-+ difference-of-squares
3×expm1-log1p-u sub-neg log1p-expm1-u
2×associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out--
1×+-commutative diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 133
Calls
3 calls:
5.0ms
(+ (sqrt x) y)
6.0ms
(- (sqrt x) y)
16.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series174.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (sqrt x) y)
34.0ms
(- (sqrt x) y)
101.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify63.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05251442
12297935
25001868

prune160.0ms

Filtered
142 candidates to 74 candidates (52.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1420142
Fresh000
Picked011
Done022
Total1423145

Merged error: 0b

Counts
145 → 3

regimes67.0ms

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

sample353.0ms

Algorithm
intervals
Results
174.0ms10544×body80valid

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