Details

Time bar (total: 2.4s)

sample16.0ms

Algorithm
intervals
Results
7.0ms361×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1323
2663
3923
41003
51003

prune4.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
20×associate-*l*
13×associate-*r*
12×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt
5×unswap-sqr
4×associate-*r/ pow-prod-down prod-exp cbrt-unprod
3×*-commutative
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
2 → 61
Calls
2 calls:
10.0ms
(* (* x (- x y)) 2.0)
6.0ms
(* x (- x y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (* x (- x y)) 2.0)
38.0ms
(* x (- x y))

simplify39.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0218277
1975240
25002240

prune75.0ms

Filtered
67 candidates to 42 candidates (37.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New63467
Fresh000
Picked101
Done000
Total64468

Merged error: 0b

Counts
68 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
17×associate-*r*
14×add-sqr-sqrt
8×associate-*l*
7×*-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
5×add-cube-cbrt
4×unswap-sqr
3×pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ associate-*l/ *-commutative
1×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 35
Calls
1 calls:
11.0ms
(* x (* (- x y) 2.0))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (* (- x y) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0205176
11005152
25001152

prune42.0ms

Filtered
38 candidates to 23 candidates (39.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh213
Picked011
Done000
Total39342

Merged error: 0b

Counts
42 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(* x (* (- x y) (sqrt 2.0)))
0.4b
(* (* x (* (- x y) (sqrt 2.0))) (sqrt 2.0))
0.4b
(* (- x y) (sqrt 2.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
60×associate-*r*
50×associate-*l*
34×unswap-sqr
25×*-un-lft-identity
23×sqrt-prod
19×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
10×pow-prod-down prod-exp cbrt-unprod
8×associate-*l/
6×*-commutative
4×associate-*r/
3×flip3-- flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
3 → 128
Calls
3 calls:
13.0ms
(* x (* (- x y) (sqrt 2.0)))
22.0ms
(* (* x (* (- x y) (sqrt 2.0))) (sqrt 2.0))
10.0ms
(* (- x y) (sqrt 2.0))

series311.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(* x (* (- x y) (sqrt 2.0)))
150.0ms
(* (* x (* (- x y) (sqrt 2.0))) (sqrt 2.0))
65.0ms
(* (- x y) (sqrt 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0381861
11947769
25002751

prune155.0ms

Filtered
137 candidates to 82 candidates (40.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh101
Picked011
Done011
Total1373140

Merged error: 0b

Counts
140 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x y) (sqrt (sqrt 2.0)))
0.2b
(* x (* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
0.3b
(* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.4b
(* (* x (* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt 2.0))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
388×add-sqr-sqrt
239×sqrt-prod unswap-sqr
165×associate-*r*
161×associate-*l*
47×*-un-lft-identity
39×add-cube-cbrt
34×pow1 add-exp-log add-cbrt-cube
20×pow-prod-down prod-exp cbrt-unprod
16×associate-*l/
10×*-commutative
4×flip3-- associate-*r/ flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 297
Calls
4 calls:
9.0ms
(* (- x y) (sqrt (sqrt 2.0)))
34.0ms
(* x (* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
19.0ms
(* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
47.0ms
(* (* x (* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt 2.0))

series424.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (- x y) (sqrt (sqrt 2.0)))
97.0ms
(* x (* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))
67.0ms
(* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
157.0ms
(* (* x (* (* (- x y) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt 2.0))

simplify120.0ms

Algorithm
egg-herbie
Counts
309 → 309
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06153329
133202541
250022480

prune325.0ms

Filtered
309 candidates to 144 candidates (53.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3090309
Fresh000
Picked011
Done022
Total3093312

Merged error: 0b

Counts
312 → 3

regimes30.0ms

Accuracy

0% (0.0b 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
083
183

end0.0ms

sample392.0ms

Algorithm
intervals
Results
226.0ms11046×body80valid