Details

Time bar (total: 3.9s)

sample51.0ms

Algorithm
intervals
Results
14.0ms293×body80valid
10.0ms273×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (/ A (* V l))))
4.5b
(/ A (* V l))
16.1b
(sqrt (/ A (* V l)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune138.0ms

Filtered
75 candidates to 55 candidates (26.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New601575
Fresh000
Picked101
Done000
Total611576

Merged error: 5.4b

Counts
76 → 15

localize9.0ms

Local error

Found 4 expressions with local error:

4.5b
(/ A (* V l))
4.5b
(/ A (* V l))
16.1b
(sqrt (/ A (* V l)))
16.1b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0136338
1441304
21804304
35002304

prune137.0ms

Filtered
90 candidates to 68 candidates (24.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh11314
Picked011
Done000
Total9015105

Merged error: 5.4b

Counts
105 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(* (cbrt A) (cbrt A))
4.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.1b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
30×cbrt-prod
28×add-cube-cbrt *-un-lft-identity times-frac associate-*r*
27×add-exp-log
18×add-cbrt-cube
16×pow1
13×associate-*l*
10×unswap-sqr
9×prod-exp cbrt-unprod
7×cbrt-undiv pow1/3 div-exp
6×swap-sqr
4×pow-prod-down add-log-exp
3×sqrt-div
2×frac-times sqrt-pow1 associate-*r/ associate-*l/ pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus pow1/2 sqrt-prod
Counts
4 → 124
Calls
4 calls:
1.0ms
(cbrt A)
6.0ms
(* (cbrt A) (cbrt A))
14.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt A)
26.0ms
(* (cbrt A) (cbrt A))
12.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify72.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0542967
12689860
25001763

prune177.0ms

Filtered
136 candidates to 91 candidates (33.1%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1333136
Fresh11213
Picked011
Done011
Total13417151

Merged error: 2.3b

Counts
151 → 17

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.8b
(* (/ 1 V) (/ A l))
16.1b
(sqrt (* (/ 1 V) (/ A l)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
9.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
13.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.0ms
(* (/ 1 V) (/ A l))
13.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0428506
11894441
25001415

prune99.0ms

Filtered
101 candidates to 68 candidates (32.7%)
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New983101
Fresh21214
Picked011
Done022
Total10018118

Merged error: 2.3b

Counts
118 → 18

regimes1.4s

Accuracy

31.7% (10.3b remaining)

Error of 14.5b against oracle of 4.2b and baseline of 19.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03724
13724

end0.0ms

sample1.4s

Algorithm
intervals
Results
320.0ms9283×body80nan
316.0ms8900×body80valid

Profiling

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