Details

Time bar (total: 2.5s)

analyze2.0ms

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

sample32.0ms

Algorithm
intervals
Results
12.0ms256×pre80true
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01359
11359

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.7b
(+ 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:
6.0ms
(+ b (+ c d))
7.0ms
(+ a (+ b (+ c d)))

series13.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04924307
14924307

prune72.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30838
Fresh000
Picked101
Done000
Total31839

Merged error: 2.2b

Counts
39 → 8

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(+ 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))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(+ a (+ (+ b c) d))

simplify31.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05390181

prune35.0ms

Filtered
7 candidates to 20 candidates (-185.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New20020
Fresh077
Picked011
Done000
Total20828

Merged error: 2.2b

Counts
28 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.4b
(+ b (+ c d))
0.7b
(cbrt (pow (+ a (+ b (+ c d))) 3))
2.7b
(+ a (+ b (+ c d)))

rewrite23.0ms

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))
8.0ms
(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))
12.0ms
(cbrt (pow (+ a (+ b (+ c d))) 3))
10.0ms
(+ a (+ b (+ c d)))

simplify30.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05247680

prune127.0ms

Filtered
36 candidates to 70 candidates (-94.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New601070
Fresh156
Picked101
Done011
Total621678

Merged error: 2.2b

Counts
78 → 16

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.7b
(+ a (+ (+ b c) d))

rewrite17.0ms

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))

series22.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(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 (39.0ms)

IterNodesCost
04971554
14971554

prune29.0ms

Filtered
19 candidates to 52 candidates (-173.7%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh01414
Picked011
Done011
Total511768

Merged error: 2.2b

Counts
68 → 17

regimes1.1s

Accuracy

0% (0.5b remaining)

Error of 2.8b against oracle of 2.2b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample780.0ms

Algorithm
intervals
Results
390.0ms8000×pre80true
203.0ms8000×body80valid

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