Details

Time bar (total: 3.9s)

sample40.0ms

Algorithm
intervals
Results
12.0ms298×body80nan
10.0ms289×body80valid

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: 19.9b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
5.5b
(/ A (* V l))
17.2b
(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:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ A (* V l))))
23.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune197.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New681381
Fresh000
Picked011
Done000
Total681482

Merged error: 7.0b

Counts
82 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
2.4b
(* (/ 1 V) (/ A l))
17.2b
(sqrt (* (/ 1 V) (/ A l)))

rewrite26.0ms

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

series120.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0424535
11846470
25001444

prune215.0ms

Filtered
107 candidates to 72 candidates (67.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh3912
Picked101
Done011
Total10615121

Merged error: 4.9b

Counts
121 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ 1 V) (/ A l))
2.4b
(* (/ 1 V) (/ A l))
17.2b
(sqrt (* (/ 1 V) (/ A l)))
17.2b
(sqrt (* (/ 1 V) (/ A l)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×expm1-log1p-u frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 148
Calls
4 calls:
10.0ms
(* (/ 1 V) (/ A l))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series142.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))
50.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0357762
11561656
25001604

prune444.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh21113
Picked101
Done011
Total16213175

Merged error: 4.8b

Counts
175 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b
(sqrt (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
2.4b
(* (/ 1 V) (/ A l))
17.2b
(sqrt (* (/ 1 V) (/ A l)))
17.2b
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
16×pow1 add-cbrt-cube
13×associate-*r* associate-*l*
12×sqrt-div
10×sqrt-pow1
8×div-exp prod-exp
7×sqrt-prod
6×unswap-sqr
4×cbrt-undiv expm1-log1p-u frac-times pow1/2 associate-*r/ pow-prod-down associate-*l/ cbrt-unprod log1p-expm1-u add-log-exp
2×rec-exp 1-exp div-inv
1×rem-sqrt-square *-commutative
Counts
4 → 112
Calls
4 calls:
15.0ms
(sqrt (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
18.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(sqrt (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))))
18.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))
76.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

simplify50.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0477777
11957696
25002612

prune386.0ms

Filtered
124 candidates to 93 candidates (75.0%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1240124
Fresh01111
Picked011
Done011
Total12413137

Merged error: 4.8b

Counts
137 → 13

regimes529.0ms

Accuracy

40.6% (8.6b remaining)

Error of 13.2b against oracle of 4.6b and baseline of 19.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03421
13421

end0.0ms

sample1.1s

Algorithm
intervals
Results
314.0ms8929×body80valid
304.0ms9090×body80nan