Details

Time bar (total: 4.1s)

sample37.0ms

Algorithm
intervals
Results
10.0ms284×body80valid
9.0ms273×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: 20.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
4.8b
(/ A (* V l))
17.6b
(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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify67.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune212.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New661581
Fresh000
Picked101
Done000
Total671582

Merged error: 5.6b

Counts
82 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.1b
(* (/ 1 V) (/ A l))
17.6b
(sqrt (* (/ 1 V) (/ A l)))

rewrite28.0ms

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×expm1-log1p-u frac-times pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 98
Calls
3 calls:
8.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
11.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0424537
11857470
25002444

prune223.0ms

Filtered
107 candidates to 71 candidates (66.4%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1016107
Fresh21214
Picked011
Done000
Total10319122

Merged error: 3.7b

Counts
122 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

6.9b
(cbrt (* c0 (sqrt (* (/ 1 V) (/ A l)))))
17.6b
(sqrt (* (/ 1 V) (/ A l)))
17.6b
(sqrt (* (/ 1 V) (/ A l)))
17.6b
(sqrt (* (/ 1 V) (/ A l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1
12×sqrt-div
7×associate-*r/
6×sqrt-pow1
4×add-exp-log add-sqr-sqrt expm1-log1p-u frac-times add-cube-cbrt *-un-lft-identity associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/2 pow-prod-down sqrt-prod
1×cbrt-prod pow1/3
Counts
4 → 62
Calls
4 calls:
7.0ms
(cbrt (* c0 (sqrt (* (/ 1 V) (/ A l)))))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(cbrt (* c0 (sqrt (* (/ 1 V) (/ A l)))))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))
52.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0169381
1483356
21809354
35002354

prune268.0ms

Filtered
74 candidates to 63 candidates (85.1%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh01717
Picked011
Done011
Total741993

Merged error: 3.7b

Counts
93 → 19

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt c0)
0.6b
(cbrt c0)
3.1b
(* (/ 1 V) (/ A l))
17.6b
(sqrt (* (/ 1 V) (/ A l)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×add-exp-log
25×times-frac
22×*-un-lft-identity
20×add-cube-cbrt
16×add-cbrt-cube
13×associate-*r* associate-*l*
9×pow1
8×div-exp prod-exp
6×cbrt-prod unswap-sqr
4×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-div
2×frac-times rec-exp sqrt-pow1 pow1/3 1-exp associate-*r/ pow-prod-down associate-*l/ div-inv
1×pow1/2 sqrt-prod *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt c0)
4.0ms
(cbrt c0)
10.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt c0)
185.0ms
(cbrt c0)
19.0ms
(* (/ 1 V) (/ A l))
52.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0394467
11642408
25002376

prune270.0ms

Filtered
112 candidates to 85 candidates (75.9%)
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1102112
Fresh01616
Picked011
Done022
Total11021131

Merged error: 3.7b

Counts
131 → 21

regimes718.0ms

Accuracy

52.1% (7.0b remaining)

Error of 11.5b against oracle of 4.6b and baseline of 19.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05033
15033

end0.0ms

sample1.1s

Algorithm
intervals
Results
321.0ms8885×body80valid
311.0ms9089×body80nan