Details

Time bar (total: 2.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms472×body80valid

simplify283.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0137
1236
2354
3454
4544
5874
61564
72064
82194
93144
106444
1131974
1250014

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ (* 3 (* y y)) (* x x))
5.0ms
(* 3 (* y y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* 3 (* y y)) (* x x))
24.0ms
(* 3 (* y y))

simplify75.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0164163
1658146
22429139
35003139

prune61.0ms

Filtered
36 candidates to 23 candidates (63.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.1b
(* (* 3 y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* (* 3 y) y) (* x x))
5.0ms
(* (* 3 y) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* (* 3 y) y) (* x x))
26.0ms
(* (* 3 y) y)

simplify124.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0173161
1854144
24082139
35001138

prune58.0ms

Filtered
35 candidates to 22 candidates (62.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (pow x 2) (* 3 (pow y 2)))
0.2b
(* 3 (pow y 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity
unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
associate-*l* prod-exp
pow1 unpow2 sqr-pow
+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
4.0ms
(+ (pow x 2) (* 3 (pow y 2)))
8.0ms
(* 3 (pow y 2))

series61.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (pow x 2) (* 3 (pow y 2)))
26.0ms
(* 3 (pow y 2))

simplify157.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
0173188
1692169
23498167
35002166

prune84.0ms

Filtered
44 candidates to 28 candidates (63.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
0.2b
(* (sqrt 3) (* y y))
0.3b
(* (sqrt 3) (* (sqrt 3) (* y y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity sqrt-prod
add-log-exp
associate-*r* *-commutative unswap-sqr
+-commutative flip3-+ sum-log flip-+
Counts
3 → 58
Calls
3 calls:
9.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
6.0ms
(* (sqrt 3) (* y y))
10.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))

series189.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
46.0ms
(* (sqrt 3) (* y y))
69.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))

simplify147.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0233391
1994310
24280302
35001298

prune106.0ms

Filtered
67 candidates to 40 candidates (59.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample556.0ms

Algorithm
intervals
Results
328.0ms14373×body80valid