Details

Time bar (total: 1.7s)

analyze3.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
9.0ms256×pre80true
6.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ b c) d)
0.0b
(* a (+ (+ b c) d))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
5.0ms
(+ (+ b c) d)
9.0ms
(* a (+ (+ b c) d))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (+ b c) d)
9.0ms
(* a (+ (+ b c) d))

simplify31.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0177179
1861160
25001160

prune52.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New41445
Fresh000
Picked101
Done000
Total42446

Merged error: 0b

Counts
46 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (+ b c))
0.0b
(+ (* a (+ b c)) (* a d))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(* a (+ b c))
6.0ms
(+ (* a (+ b c)) (* a d))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* a (+ b c))
9.0ms
(+ (* a (+ b c)) (* a d))

simplify38.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0213177
1995159
25002156

prune48.0ms

Filtered
30 candidates to 43 candidates (-43.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh123
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
0.1b
(sqrt (* a (+ b c)))
0.1b
(sqrt (* a (+ b c)))
0.6b
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
32×sqrt-pow1
22×pow-prod-down
18×associate-*r/
16×sqrt-div
12×pow1/2
10×add-sqr-sqrt pow-prod-up
9×flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log sqrt-prod pow-sqr add-cbrt-cube add-log-exp
4×frac-times swap-sqr associate-*r* associate-*l*
2×associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod unswap-sqr
Counts
4 → 94
Calls
4 calls:
13.0ms
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
7.0ms
(sqrt (* a (+ b c)))
4.0ms
(sqrt (* a (+ b c)))
13.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* (sqrt (* a (+ b c))) (sqrt (* a (+ b c)))) (* a d))
14.0ms
(sqrt (* a (+ b c)))
14.0ms
(sqrt (* a (+ b c)))
6.0ms
(* (sqrt (* a (+ b c))) (sqrt (* a (+ b c))))

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0278607
11344515
25002488

prune85.0ms

Filtered
64 candidates to 106 candidates (-65.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0b

Counts
110 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ b c) d)
0.3b
(* (sqrt a) (+ (+ b c) d))
0.4b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×sqrt-prod
6×associate-*r/ associate-*r* distribute-lft-out
5×distribute-rgt-in distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
3×flip3-+ sum-log flip-+
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 70
Calls
3 calls:
6.0ms
(+ (+ b c) d)
9.0ms
(* (sqrt a) (+ (+ b c) d))
11.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (+ b c) d)
20.0ms
(* (sqrt a) (+ (+ b c) d))
18.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0292412
11429354
25002354

prune55.0ms

Filtered
50 candidates to 79 candidates (-58.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done022
Total79483

Merged error: 0b

Counts
83 → 4

regimes374.0ms

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
0124
1124

end0.0ms

analyze2.0ms

Algorithm
search

sample650.0ms

Algorithm
intervals
Results
300.0ms8000×pre80true
185.0ms8000×body80valid

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