Details

Time bar (total: 1.6s)

sample27.0ms

Algorithm
intervals
Results
14.0ms425×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x x) (* y y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ (* x x) (* y y))

simplify42.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010177
146566
2124066
3500166

prune24.0ms

Filtered
14 candidates to 11 candidates (21.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New12214
Fresh000
Picked011
Done000
Total12315

Merged error: 0.0b

Counts
15 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (pow x 2) (pow y 2))
0.2b
(pow (+ (pow x 2) (pow y 2)) 3)
35.5b
(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
20×unpow-prod-down
16×cbrt-prod
10×cube-prod distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
3 → 69
Calls
3 calls:
7.0ms
(+ (pow x 2) (pow y 2))
10.0ms
(pow (+ (pow x 2) (pow y 2)) 3)
8.0ms
(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (pow x 2) (pow y 2))
13.0ms
(pow (+ (pow x 2) (pow y 2)) 3)
5.0ms
(cbrt (pow (+ (pow x 2) (pow y 2)) 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0223451
11200423
25001415

prune99.0ms

Filtered
78 candidates to 40 candidates (48.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0.0b

Counts
81 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
2.1b
(- (* (* x x) (* y y)) (pow x 4))
7.9b
(* (* x x) (* y y))
41.7b
(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
48×*-un-lft-identity
35×times-frac
32×pow1
21×difference-of-squares
18×add-exp-log add-cube-cbrt add-cbrt-cube
14×pow-prod-down
11×add-log-exp
8×prod-exp sum-cubes cbrt-unprod distribute-lft-out
7×unpow-prod-down associate-/r* distribute-lft-out-- sqr-pow
5×associate-/l*
4×pow-plus diff-log pow-prod-up
3×sub-neg flip3-- flip--
2×pow2 associate-/r/ pow-sqr associate-/l/ associate--r+
1×cbrt-undiv frac-2neg flip3-+ div-exp associate-*r* associate-*l* clear-num *-commutative flip-+ div-inv associate--r- unswap-sqr
Counts
4 → 124
Calls
4 calls:
12.0ms
(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
9.0ms
(- (* (* x x) (* y y)) (pow x 4))
8.0ms
(* (* x x) (* y y))
20.0ms
(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
8.0ms
(- (* (* x x) (* y y)) (pow x 4))
6.0ms
(* (* x x) (* y y))
18.0ms
(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

simplify76.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04561889
123711790
250011762

prune244.0ms

Filtered
136 candidates to 81 candidates (40.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0.0b

Counts
139 → 3

regimes192.0ms

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
063
163

end0.0ms

sample667.0ms

Algorithm
intervals
Results
315.0ms14272×body80valid

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