Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms363×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1363
2583
3603
4603

prune3.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* x y))
0.0b
(* 2.0 (+ (* x x) (* x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ (* x x) (* x y))
9.0ms
(* 2.0 (+ (* x x) (* x y)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* x x) (* x y))
43.0ms
(* 2.0 (+ (* x x) (* x y)))

simplify34.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0189212
1950181
25002176

prune70.0ms

Filtered
41 candidates to 31 candidates (75.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 2.0 x) (+ x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(* (* 2.0 x) (+ x y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (* 2.0 x) (+ x y))

simplify31.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0166117
191597
2500197

prune32.0ms

Filtered
26 candidates to 14 candidates (53.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))
8.6b
(cbrt (+ (* x x) (* x y)))
8.6b
(cbrt (+ (* x x) (* x y)))
8.6b
(cbrt (+ (* x x) (* x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
7×swap-sqr associate-*r* associate-*l* distribute-lft-out
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
19.0ms
(* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))
2.0ms
(cbrt (+ (* x x) (* x y)))
2.0ms
(cbrt (+ (* x x) (* x y)))
2.0ms
(cbrt (+ (* x x) (* x y)))

series704.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))
171.0ms
(cbrt (+ (* x x) (* x y)))
173.0ms
(cbrt (+ (* x x) (* x y)))
172.0ms
(cbrt (+ (* x x) (* x y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0213999
1703929
22417863
35001855

prune250.0ms

Filtered
105 candidates to 84 candidates (80.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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
093
193

end0.0ms

sample403.0ms

Algorithm
intervals
Results
238.0ms11052×body80valid