Details

Time bar (total: 6.9s)

sample37.0ms

Algorithm
intervals
Results
10.0ms289×body80valid
9.0ms269×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

2.1b
(* c0 (sqrt (/ A (* V l))))
5.9b
(/ A (* V l))
16.7b
(sqrt (/ A (* V l)))

rewrite18.0ms

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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune188.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New601575
Fresh000
Picked101
Done000
Total611576

Merged error: 7.4b

Counts
76 → 15

localize7.0ms

Local error

Found 3 expressions with local error:

2.1b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.1b
(* (/ 1 V) (/ A l))
16.7b
(sqrt (* (/ 1 V) (/ A l)))

rewrite29.0ms

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))))
11.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify49.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0418505
11840440
25001414

prune223.0ms

Filtered
101 candidates to 68 candidates (67.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New965101
Fresh5914
Picked011
Done000
Total10115116

Merged error: 4.7b

Counts
116 → 15

localize12.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (/ A l) (cbrt V))
2.1b
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
2.4b
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
16.7b
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
304×times-frac
199×add-sqr-sqrt
159×*-un-lft-identity
154×add-cube-cbrt
89×add-exp-log
87×cbrt-prod
86×associate-*r*
36×div-exp
33×add-cbrt-cube
31×prod-exp
18×cbrt-undiv
16×div-inv unswap-sqr
13×cbrt-unprod associate-/l*
11×pow1
10×associate-*l*
6×rec-exp sqrt-div 1-exp associate-*r/ associate-/r*
4×add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative
1×frac-2neg pow1/2 clear-num associate-/l/
Counts
4 → 294
Calls
4 calls:
7.0ms
(/ (/ A l) (cbrt V))
19.0ms
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
37.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
15.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ (/ A l) (cbrt V))
80.0ms
(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
45.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
81.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

simplify62.0ms

Algorithm
egg-herbie
Counts
306 → 306
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012783077
150022814

prune874.0ms

Filtered
306 candidates to 239 candidates (78.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New3033306
Fresh21113
Picked101
Done011
Total30615321

Merged error: 3.2b

Counts
321 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
1.8b
(/ (/ A l) (cbrt V))
2.1b
(* c0 (/ (sqrt (/ (/ A l) (cbrt V))) (fabs (cbrt V))))
13.7b
(sqrt (/ (/ A l) (cbrt V)))

rewrite147.0ms

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)
8.0ms
(/ (/ A l) (cbrt V))
73.0ms
(* c0 (/ (sqrt (/ (/ A l) (cbrt V))) (fabs (cbrt V))))
12.0ms
(sqrt (/ (/ A l) (cbrt V)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt V)
80.0ms
(/ (/ A l) (cbrt V))
210.0ms
(* c0 (/ (sqrt (/ (/ A l) (cbrt V))) (fabs (cbrt V))))
109.0ms
(sqrt (/ (/ A l) (cbrt V)))

simplify95.0ms

Algorithm
egg-herbie
Counts
515 → 515
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
020785649
150015508

prune2.1s

Filtered
515 candidates to 454 candidates (88.2%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New50312515
Fresh6713
Picked101
Done011
Total51020530

Merged error: 0.0b

Counts
530 → 20

regimes659.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02024
12024

end0.0ms

sample1.1s

Algorithm
intervals
Results
323.0ms8964×body80valid
313.0ms9075×body80nan

Profiling

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