Details

Time bar (total: 2.7s)

sample12.0ms

Algorithm
intervals
Results
5.0ms345×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

localize6.0ms

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))

simplify155.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 3 (34.0ms)

IterNodesCost
097100
128888
2100887
3445572
4500172

prune38.0ms

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

localize7.0ms

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))))

rewrite18.0ms

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
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 101
Calls
4 calls:
2.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))
2.0ms
(cbrt (- x (* y y)))
9.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
282.0ms
(cbrt (- x (* y y)))
282.0ms
(cbrt (- x (* y y)))
275.0ms
(cbrt (- x (* y y)))
328.0ms
(* (cbrt (- x (* y y))) (cbrt (- x (* y y))))

simplify142.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0292940
11017886
24606838
35001832

prune239.0ms

Filtered
113 candidates to 89 candidates (78.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0b

Counts
116 → 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))

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)
6.0ms
(- (sqrt x) y)
12.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series171.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (sqrt x) y)
33.0ms
(- (sqrt x) y)
105.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify73.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05251442
12297935
25001868

prune170.0ms

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

regimes60.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042

end0.0ms

sample318.0ms

Algorithm
intervals
Results
158.0ms10550×body80valid