Details

Time bar (total: 2.1s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample29.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms256×pre80true

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01359
11359

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
3.0b
(+ a (+ b (+ c d)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
2 → 32
Calls
2 calls:
5.0ms
(+ b (+ c d))
8.0ms
(+ a (+ b (+ c d)))

series14.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04924307
14924307

prune65.0ms

Filtered
24 candidates to 38 candidates (-58.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New31738
Fresh000
Picked101
Done000
Total32739

Merged error: 2.5b

Counts
39 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
8.0ms
(+ a (+ (+ b c) d))

series9.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(+ a (+ (+ b c) d))

simplify33.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05390181

prune30.0ms

Filtered
8 candidates to 20 candidates (-150.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20020
Fresh066
Picked011
Done000
Total20727

Merged error: 2.5b

Counts
27 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(+ b (+ c d))
0.6b
(cbrt (pow (+ a (+ b (+ c d))) 3))
3.0b
(+ a (+ b (+ c d)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
21×distribute-lft-out
18×cbrt-prod
17×add-log-exp
sum-log
add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod
pow1 add-exp-log flip3-+ add-cbrt-cube flip-+
+-commutative cube-div cbrt-div associate-+r+
cube-mult pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
3 → 61
Calls
3 calls:
5.0ms
(+ b (+ c d))
9.0ms
(cbrt (pow (+ a (+ b (+ c d))) 3))
8.0ms
(+ a (+ b (+ c d)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ b (+ c d))
14.0ms
(cbrt (pow (+ a (+ b (+ c d))) 3))
8.0ms
(+ a (+ b (+ c d)))

simplify30.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05247680

prune114.0ms

Filtered
37 candidates to 70 candidates (-89.2%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New61970
Fresh055
Picked101
Done011
Total621577

Merged error: 2.5b

Counts
77 → 15

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
3.0b
(+ a (+ (+ b c) d))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
unpow-prod-down cube-prod sum-log
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
8.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms
(+ a (+ (+ b c) d))

series21.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms
(+ a (+ (+ b c) d))

simplify44.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04971554
14971554

prune33.0ms

Filtered
21 candidates to 52 candidates (-147.6%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh11213
Picked011
Done011
Total521567

Merged error: 2.5b

Counts
67 → 15

regimes907.0ms

Accuracy

0% (0.5b remaining)

Error of 2.7b against oracle of 2.2b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample653.0ms

Algorithm
intervals
Results
301.0ms8000×pre80true
186.0ms8000×body80valid

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