Details

Time bar (total: 4.6s)

sample34.0ms

Algorithm
intervals
Results
8.0ms309×body80nan
8.0ms283×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: 19.4b

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))
14.9b
(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)))

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)))

simplify72.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune204.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New671481
Fresh000
Picked101
Done000
Total681482

Merged error: 6.0b

Counts
82 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.6b
(* (/ 1 V) (/ A l))
14.9b
(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×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))))
14.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
24.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0424535
11846470
25001444

prune262.0ms

Filtered
107 candidates to 74 candidates (69.2%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1016107
Fresh4913
Picked011
Done000
Total10516121

Merged error: 3.9b

Counts
121 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ 1 V) (/ A l))
3.6b
(* (/ 1 V) (/ A l))
14.9b
(sqrt (* (/ 1 V) (/ A l)))
14.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite37.0ms

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)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify49.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0357762
11561656
25001604

prune524.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh01414
Picked011
Done101
Total16016176

Merged error: 3.9b

Counts
176 → 16

localize21.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
3.6b
(* (/ 1 V) (/ A l))
14.9b
(sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
14.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
175×times-frac
132×add-sqr-sqrt
95×add-exp-log associate-*r*
90×*-un-lft-identity
88×add-cube-cbrt
51×add-cbrt-cube
43×cbrt-prod
35×div-exp prod-exp
31×cbrt-undiv cbrt-unprod
18×associate-*l*
16×unswap-sqr
14×pow1
10×div-inv
6×sqrt-div
4×expm1-log1p-u frac-times sqrt-pow1 associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp pow1/2 1-exp sqrt-prod *-commutative
Counts
4 → 231
Calls
4 calls:
34.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
10.0ms
(* (/ 1 V) (/ A l))
16.0ms
(sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series197.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
19.0ms
(* (/ 1 V) (/ A l))
78.0ms
(sqrt (* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
60.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
013512705
150022383

prune1.0s

Filtered
243 candidates to 184 candidates (75.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2421243
Fresh11314
Picked011
Done011
Total24316259

Merged error: 3.9b

Counts
259 → 16

regimes593.0ms

Accuracy

47% (7.8b remaining)

Error of 12.5b against oracle of 4.6b and baseline of 19.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05740
15740

end0.0ms

sample919.0ms

Algorithm
intervals
Results
245.0ms8967×body80valid
228.0ms8938×body80nan