Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
8.0ms335×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
1102
2122
3122

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
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))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- x (* y y))

simplify158.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
097100
128888
2100887
3445572
4500172

prune35.0ms

Filtered
24 candidates to 18 candidates (75.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh000
Picked011
Done000
Total23225

Merged error: 0.0b

Counts
25 → 2

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))

rewrite28.0ms

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
add-log-exp
fma-def fma-neg associate-*r*
pow1 add-exp-log add-cbrt-cube
frac-times flip3-- flip3-+ associate-*l* flip-- flip-+ difference-of-squares
expm1-log1p-u sub-neg log1p-expm1-u
associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out--
+-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)
5.0ms
(- (sqrt x) y)
13.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series169.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (sqrt x) y)
36.0ms
(- (sqrt x) y)
100.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify68.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05251442
12297935
25001868

prune169.0ms

Filtered
142 candidates to 74 candidates (52.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1411142
Fresh000
Picked101
Done011
Total1422144

Merged error: 0b

Counts
144 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* (fma (sqrt (sqrt x)) (sqrt (sqrt x)) y) (- (sqrt x) y))
0.2b
(fma (sqrt (sqrt x)) (sqrt (sqrt x)) y)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×sqrt-prod
36×*-un-lft-identity prod-diff
34×add-cube-cbrt
20×distribute-rgt-in distribute-lft-in
10×pow1
sqrt-pow1
add-exp-log associate-*r* add-cbrt-cube
expm1-log1p-u rem-sqrt-square pow1/2 log1p-expm1-u add-log-exp
associate-*l*
sub-neg associate-*r/ difference-of-squares
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Counts
4 → 117
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
9.0ms
(* (fma (sqrt (sqrt x)) (sqrt (sqrt x)) y) (- (sqrt x) y))
1.0ms
(fma (sqrt (sqrt x)) (sqrt (sqrt x)) y)

series711.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(sqrt (sqrt x))
155.0ms
(sqrt (sqrt x))
274.0ms
(* (fma (sqrt (sqrt x)) (sqrt (sqrt x)) y) (- (sqrt x) y))
145.0ms
(fma (sqrt (sqrt x)) (sqrt (sqrt x)) y)

simplify56.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04041463
11654941
25001866

prune182.0ms

Filtered
129 candidates to 70 candidates (54.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done011
Total1292131

Merged error: 0b

Counts
131 → 2

regimes48.0ms

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

sample361.0ms

Algorithm
intervals
Results
196.0ms10611×body80valid

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