Details

Time bar (total: 2.3s)

sample27.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.999711%

Space saved by search: 99.999711%

Guaranteed chance to sample good point: 0%

Results
9.0ms256×pre80true
5.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
9.0ms
(* a (+ (+ b c) d))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* a (+ (+ b c) d))

simplify104.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146114
1738100
24526100
35001100

prune40.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528

Merged error: 0b

Counts
28 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))

series16.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0213177
1995159
25002156

prune46.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New43043
Fresh033
Picked011
Done011
Total43548

Merged error: 0b

Counts
48 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* a (+ (+ b c) d))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.1b
(sqrt (* a (+ (+ b c) d)))
0.5b
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ associate-*r* flip-+
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
3×distribute-lft-out
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
9.0ms
(* a (+ (+ b c) d))
7.0ms
(sqrt (* a (+ (+ b c) d)))
9.0ms
(sqrt (* a (+ (+ b c) d)))
18.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* a (+ (+ b c) d))
58.0ms
(sqrt (* a (+ (+ b c) d)))
62.0ms
(sqrt (* a (+ (+ b c) d)))
9.0ms
(* (sqrt (* a (+ (+ b c) d))) (sqrt (* a (+ (+ b c) d))))

simplify71.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0335702
11829643
25001621

prune93.0ms

Filtered
70 candidates to 119 candidates (-70.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh022
Picked011
Done022
Total1195124

Merged error: 0b

Counts
124 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
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 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(sqrt (+ (+ b c) d))
6.0ms
(sqrt (+ (+ b c) d))
9.0ms
(* a (sqrt (+ (+ b c) d)))
17.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (+ (+ b c) d))
10.0ms
(sqrt (+ (+ b c) d))
20.0ms
(* a (sqrt (+ (+ b c) d)))
27.0ms
(* (* a (sqrt (+ (+ b c) d))) (sqrt (+ (+ b c) d)))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0368717
11618641
25002619

prune76.0ms

Filtered
66 candidates to 103 candidates (-56.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done033
Total1035108

Merged error: 0b

Counts
108 → 5

regimes728.0ms

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

sample644.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 99.999711%

Space saved by search: 99.999711%

Guaranteed chance to sample good point: 0%

Results
298.0ms8000×pre80true
184.0ms8000×body80valid

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