Details

Time bar (total: 1.9s)

analyze3.0ms

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

sample27.0ms

Algorithm
intervals
Results
10.0ms256×pre80true
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01859
11859

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(+ c (+ b a))
0.2b
(+ d (+ c (+ b a)))
0.2b
(+ e (+ d (+ c (+ b a))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity add-log-exp
19×sum-log distribute-lft-out
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
3 → 51
Calls
3 calls:
5.0ms
(+ c (+ b a))
7.0ms
(+ d (+ c (+ b a)))
10.0ms
(+ e (+ d (+ c (+ b a))))

series26.0ms

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

simplify28.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
04969545
14969545

prune77.0ms

Filtered
37 candidates to 60 candidates (-62.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New54660
Fresh101
Picked101
Done000
Total56662

Merged error: 0b

Counts
62 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ c (+ b a))
0.2b
(+ (+ e d) (+ c (+ b a)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity add-log-exp
18×sum-log distribute-lft-out
6×flip3-+ flip-+
4×frac-add
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ add-cbrt-cube
1×associate-+l+
Counts
2 → 43
Calls
2 calls:
5.0ms
(+ c (+ b a))
10.0ms
(+ (+ e d) (+ c (+ b a)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ c (+ b a))
14.0ms
(+ (+ e d) (+ c (+ b a)))

simplify24.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
04837599
14837599

prune57.0ms

Filtered
29 candidates to 49 candidates (-69.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49049
Fresh055
Picked011
Done000
Total49655

Merged error: 0b

Counts
55 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ c (+ b a))
0.2b
(+ d (exp (log (+ c (+ b a)))))
0.2b
(+ e (+ d (exp (log (+ c (+ b a))))))
0.7b
(exp (log (+ c (+ b a))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
16×add-log-exp
10×distribute-lft-out
7×sum-log
6×add-sqr-sqrt add-cube-cbrt
5×pow1 log-prod exp-sum
4×add-exp-log exp-prod flip3-+ add-cbrt-cube flip-+
3×+-commutative
2×log-div associate-+r+ exp-diff
1×log-pow rem-exp-log
Counts
4 → 61
Calls
4 calls:
5.0ms
(+ c (+ b a))
9.0ms
(+ d (exp (log (+ c (+ b a)))))
9.0ms
(+ e (+ d (exp (log (+ c (+ b a))))))
6.0ms
(exp (log (+ c (+ b a))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ c (+ b a))
8.0ms
(+ d (exp (log (+ c (+ b a)))))
15.0ms
(+ e (+ d (exp (log (+ c (+ b a))))))
4.0ms
(exp (log (+ c (+ b a))))

simplify43.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04978633
14978633

prune77.0ms

Filtered
51 candidates to 73 candidates (-43.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh044
Picked011
Done011
Total73679

Merged error: 0b

Counts
79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ d (+ c (+ b a)))
0.2b
(+ d (+ c (+ b a)))
0.2b
(+ e (* (sqrt (+ d (+ c (+ b a)))) (sqrt (+ d (+ c (+ b a))))))
0.6b
(* (sqrt (+ d (+ c (+ b a)))) (sqrt (+ d (+ c (+ b a)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
126×*-un-lft-identity
72×distribute-lft-out
54×sqrt-prod
24×add-sqr-sqrt add-log-exp
23×swap-sqr
19×pow1
13×sum-log
12×add-cube-cbrt sqrt-div
9×flip3-+ associate-*r* associate-*l* flip-+
8×sqrt-pow1 pow1/2
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×+-commutative pow-prod-down pow-sqr
2×associate-+r+ associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
7.0ms
(+ d (+ c (+ b a)))
7.0ms
(+ d (+ c (+ b a)))
2.0ms
(+ e (* (sqrt (+ d (+ c (+ b a)))) (sqrt (+ d (+ c (+ b a))))))
18.0ms
(* (sqrt (+ d (+ c (+ b a)))) (sqrt (+ d (+ c (+ b a)))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ d (+ c (+ b a)))
8.0ms
(+ d (+ c (+ b a)))
20.0ms
(+ e (* (sqrt (+ d (+ c (+ b a)))) (sqrt (+ d (+ c (+ b a))))))
24.0ms
(* (sqrt (+ d (+ c (+ b a)))) (sqrt (+ d (+ c (+ b a)))))

simplify25.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
049991450
149991450

prune79.0ms

Filtered
68 candidates to 135 candidates (-98.5%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh033
Picked011
Done022
Total1356141

Merged error: 0b

Counts
141 → 6

regimes436.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

analyze3.0ms

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

sample738.0ms

Algorithm
intervals
Results
329.0ms8000×pre80true
208.0ms8000×body80valid

Profiling

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