Details

Time bar (total: 4.6s)

sample52.0ms

Algorithm
intervals
Results
14.0ms280×body80valid
10.0ms278×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0148
1148

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
6.3b
(/ A (* V l))
15.0b
(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:
13.0ms
(* 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: 0 (60.0ms)

IterNodesCost
05085561

prune145.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New621375
Fresh000
Picked011
Done000
Total621476

Merged error: 7.9b

Counts
76 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.2b
(* (/ 1 V) (/ A l))
15.0b
(sqrt (* (/ 1 V) (/ A l)))

rewrite27.0ms

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:
8.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.0ms
(* (/ 1 V) (/ A l))
14.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05059743

prune142.0ms

Filtered
69 candidates to 101 candidates (-46.4%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New974101
Fresh3912
Picked011
Done011
Total10015115

Merged error: 6.7b

Counts
115 → 15

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V))))))
2.0b
(* (/ A l) (cbrt (/ 1 V)))
3.2b
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V))))
15.0b
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V)))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
74×cbrt-div
52×frac-times
49×associate-*r/
45×add-sqr-sqrt
34×associate-*l/
33×pow1
32×add-exp-log
30×sqrt-div
26×times-frac
23×*-un-lft-identity
21×add-cube-cbrt associate-*r*
20×add-cbrt-cube
19×cbrt-prod
18×pow-prod-down
17×associate-*l*
16×prod-exp cbrt-unprod
9×unswap-sqr
5×sqrt-pow1
4×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×sqrt-prod div-inv
1×pow1/2
Counts
4 → 157
Calls
4 calls:
20.0ms
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V))))))
11.0ms
(* (/ A l) (cbrt (/ 1 V)))
19.0ms
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V))))
16.0ms
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V)))))

series68.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V))))))
21.0ms
(* (/ A l) (cbrt (/ 1 V)))
9.0ms
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V))))
18.0ms
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (/ A l) (cbrt (/ 1 V)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049221391
149221391

prune248.0ms

Filtered
103 candidates to 169 candidates (-64.1%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1636169
Fresh21012
Picked101
Done202
Total16816184

Merged error: 3.8b

Counts
184 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
1.9b
(* c0 (/ (sqrt (/ (/ A l) (cbrt V))) (fabs (cbrt V))))
2.1b
(/ (/ A l) (cbrt V))
13.0b
(sqrt (/ (/ A l) (cbrt V)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
942×times-frac
485×add-sqr-sqrt
448×add-cube-cbrt *-un-lft-identity
333×sqrt-prod
259×associate-*r*
205×cbrt-prod
37×div-inv
14×add-exp-log
13×associate-/l*
12×add-cbrt-cube
7×pow1 unswap-sqr
6×associate-/r*
5×rem-sqrt-square
4×cbrt-undiv div-exp add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod
1×frac-2neg sqrt-pow1 pow1/2 pow1/3 sqrt-div associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 503
Calls
4 calls:
1.0ms
(cbrt V)
69.0ms
(* c0 (/ (sqrt (/ (/ A l) (cbrt V))) (fabs (cbrt V))))
7.0ms
(/ (/ A l) (cbrt V))
11.0ms
(sqrt (/ (/ A l) (cbrt V)))

series133.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt V)
60.0ms
(* c0 (/ (sqrt (/ (/ A l) (cbrt V))) (fabs (cbrt V))))
17.0ms
(/ (/ A l) (cbrt V))
31.0ms
(sqrt (/ (/ A l) (cbrt V)))

simplify68.0ms

Algorithm
egg-herbie
Counts
515 → 515
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
056448027

prune670.0ms

Filtered
458 candidates to 515 candidates (-12.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New50213515
Fresh8715
Picked101
Done000
Total51120531

Merged error: 0.0b

Counts
531 → 20

regimes1.1s

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 1.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01928
11928

end0.0ms

sample1.4s

Algorithm
intervals
Results
320.0ms8913×body80valid
319.0ms9032×body80nan

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