Details

Time bar (total: 2.3s)

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

prune11.0ms

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

localize7.0ms

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))))

rewrite28.0ms

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:
8.0ms
(+ c (+ b a))
7.0ms
(+ d (+ c (+ b a)))
11.0ms
(+ e (+ d (+ c (+ b a))))

series28.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ c (+ b a))
8.0ms
(+ d (+ c (+ b a)))
15.0ms
(+ e (+ d (+ c (+ b a))))

simplify33.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04837545
14837545

prune84.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh011
Picked101
Done000
Total54862

Merged error: 0b

Counts
62 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (+ c (+ b a)))
0.2b
(+ d (* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a)))))
0.2b
(+ e (+ d (* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a))))))
0.5b
(* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
43×sqrt-prod
28×distribute-lft-out
26×add-sqr-sqrt
20×pow1
16×swap-sqr
14×sqrt-div
13×add-cube-cbrt
11×add-log-exp
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times sum-log unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative associate-*r/ associate-*l/
1×pow2 rem-sqrt-square associate-+r+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 111
Calls
4 calls:
5.0ms
(sqrt (+ c (+ b a)))
3.0ms
(+ d (* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a)))))
5.0ms
(+ e (+ d (* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a))))))
15.0ms
(* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (+ c (+ b a)))
14.0ms
(+ d (* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a)))))
16.0ms
(+ e (+ d (* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a))))))
13.0ms
(* (sqrt (+ c (+ b a))) (sqrt (+ c (+ b a))))

simplify24.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
053291187

prune107.0ms

Filtered
67 candidates to 123 candidates (-83.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1221123
Fresh167
Picked101
Done000
Total1247131

Merged error: 0b

Counts
131 → 7

localize10.0ms

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))))))
0.6b
(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))
8.0ms
(+ d (exp (log (+ c (+ b a)))))
10.0ms
(+ e (+ d (exp (log (+ c (+ b a))))))
6.0ms
(exp (log (+ c (+ b a))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ c (+ b a))
10.0ms
(+ d (exp (log (+ c (+ b a)))))
15.0ms
(+ e (+ d (exp (log (+ c (+ b a))))))
5.0ms
(exp (log (+ c (+ b a))))

simplify16.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
05136641

prune83.0ms

Filtered
50 candidates to 73 candidates (-46.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh066
Picked011
Done000
Total73780

Merged error: 0b

Counts
80 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ d (cbrt (pow (+ c (+ b a)) 3)))
0.2b
(+ e (+ d (cbrt (pow (+ c (+ b a)) 3))))
0.4b
(cbrt (pow (+ c (+ b a)) 3))
0.7b
(pow (+ c (+ b a)) 3)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
16×cbrt-prod distribute-lft-out
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ sum-log flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp associate-+r+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 83
Calls
4 calls:
10.0ms
(+ d (cbrt (pow (+ c (+ b a)) 3)))
14.0ms
(+ e (+ d (cbrt (pow (+ c (+ b a)) 3))))
6.0ms
(cbrt (pow (+ c (+ b a)) 3))
6.0ms
(pow (+ c (+ b a)) 3)

series70.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ d (cbrt (pow (+ c (+ b a)) 3)))
22.0ms
(+ e (+ d (cbrt (pow (+ c (+ b a)) 3))))
6.0ms
(cbrt (pow (+ c (+ b a)) 3))
27.0ms
(pow (+ c (+ b a)) 3)

simplify34.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04803936
14803936

prune82.0ms

Filtered
58 candidates to 95 candidates (-63.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh145
Picked101
Done011
Total966102

Merged error: 0b

Counts
102 → 6

regimes669.0ms

Accuracy

0% (0.3b 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
01511
11511

end0.0ms

sample728.0ms

Algorithm
intervals
Results
328.0ms8000×pre80true
204.0ms8000×body80valid

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