Details

Time bar (total: 2.1s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1152
2212
3262
4262

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
(* 500.0 (- x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
6.0ms
(* 500.0 (- x y))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* 500.0 (- x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011298
146088
2188188
3500188

prune33.0ms

Filtered
29 candidates to 17 candidates (58.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh000
Picked011
Done000
Total27330

Merged error: 0.0b

Counts
30 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt 500.0) (- x y))
0.4b
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×sub-neg associate-*r/ associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
7.0ms
(* (sqrt 500.0) (- x y))
10.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series156.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (sqrt 500.0) (- x y))
98.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify35.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0193306
1946268
25002265

prune72.0ms

Filtered
67 candidates to 36 candidates (53.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh011
Picked011
Done011
Total67370

Merged error: 0.0b

Counts
70 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.1b
(* 500.0 (sqrt (- x y)))
0.2b
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
16×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))
8.0ms
(* 500.0 (sqrt (- x y)))
12.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series249.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (- x y))
68.0ms
(sqrt (- x y))
83.0ms
(* 500.0 (sqrt (- x y)))
31.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0284598
11150521
25001503

prune156.0ms

Filtered
103 candidates to 67 candidates (65.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1021103
Fresh000
Picked101
Done022
Total1033106

Merged error: 0b

Counts
106 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (- x y)))
0.1b
(* 500.0 (sqrt (- x y)))
0.1b
(* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y))))
0.2b
(* (* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y)))) (sqrt (sqrt (- x y))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
114×sqrt-div
46×sqrt-prod
36×associate-*r/
35×flip3-- flip--
32×frac-times
30×associate-*r*
29×add-sqr-sqrt
23×*-un-lft-identity
22×pow1
20×add-exp-log add-cbrt-cube
16×associate-*l/
15×add-cube-cbrt
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×sqrt-pow1 distribute-lft-out-- add-log-exp difference-of-squares
3×*-commutative
2×rem-sqrt-square pow1/2 unswap-sqr
Counts
4 → 138
Calls
4 calls:
4.0ms
(sqrt (sqrt (- x y)))
7.0ms
(* 500.0 (sqrt (- x y)))
13.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y))))
23.0ms
(* (* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y)))) (sqrt (sqrt (- x y))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(sqrt (sqrt (- x y)))
80.0ms
(* 500.0 (sqrt (- x y)))
183.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y))))
30.0ms
(* (* (* 500.0 (sqrt (- x y))) (sqrt (sqrt (- x y)))) (sqrt (sqrt (- x y))))

simplify74.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06561580
128321356
250011285

prune305.0ms

Filtered
150 candidates to 95 candidates (63.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh000
Picked011
Done022
Total1503153

Merged error: 0b

Counts
153 → 3

regimes57.0ms

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
062
162

end0.0ms

sample249.0ms

Algorithm
intervals
Results
119.0ms8046×body80valid
1.0ms9×body1280valid
1.0ms7×body2560valid
0.0ms7×body640valid
0.0ms6×body320valid
0.0ms2×body160valid