Details

Time bar (total: 1.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms352×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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(- x (* y y))

simplify152.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
097100
128888
2100887
3445572
4500172

prune33.0ms

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) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series692.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (cbrt x) (cbrt x))
169.0ms
(cbrt x)
165.0ms
(cbrt x)
168.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune169.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done011
Total93396

Merged error: 0b

Counts
96 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt *-un-lft-identity prod-diff
30×add-cube-cbrt
22×sqrt-prod
20×distribute-rgt-in distribute-lft-in
6×fma-def associate-*r*
4×pow1 add-exp-log frac-times flip3-+ associate-*l* add-cbrt-cube flip-+ add-log-exp
3×flip3-- flip--
2×expm1-log1p-u sub-neg associate-*r/ associate-*l/ log1p-expm1-u distribute-lft-out difference-of-squares
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
2 → 92
Calls
2 calls:
4.0ms
(+ (sqrt x) y)
12.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

series129.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (sqrt x) y)
94.0ms
(* (+ (sqrt x) y) (- (sqrt x) y))

simplify61.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05001096
12230731
25003679

prune114.0ms

Filtered
98 candidates to 51 candidates (52.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done022
Total983101

Merged error: 0b

Counts
101 → 3

regimes53.0ms

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
166.0ms10628×body80valid