Details

Time bar (total: 3.6s)

sample35.0ms

Algorithm
intervals
Results
10.0ms293×body80valid
8.0ms296×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (/ A (* V l))))
5.9b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))

rewrite19.0ms

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:
11.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (/ A (* V l))))
22.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune204.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.8b

localize6.0ms

Local error

Found 3 expressions with local error:

0.8b
(* (sqrt (/ A (* V l))) c0)
5.9b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*l* add-cbrt-cube
9×times-frac
6×pow1
3×expm1-log1p-u associate-*r* 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 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
12.0ms
(* (sqrt (/ A (* V l))) c0)
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (sqrt (/ A (* V l))) c0)
20.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify95.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0249359
1922333
24652331
35001330

prune207.0ms

Filtered
81 candidates to 62 candidates (76.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.8b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
6.2b
(* (/ 1 V) (/ A l))
15.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite39.0ms

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:
17.0ms
(* 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:
52.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0424535
11846470
25001444

prune266.0ms

Filtered
107 candidates to 77 candidates (72.0%)
Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 4.1b

localize10.0ms

Local error

Found 4 expressions with local error:

6.2b
(* (/ 1 V) (/ A l))
6.2b
(* (/ 1 V) (/ A l))
15.5b
(sqrt (* (/ 1 V) (/ A l)))
15.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite44.0ms

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:
14.0ms
(* (/ 1 V) (/ A l))
14.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series150.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify44.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0357762
11561656
25001604

prune466.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 4.1b

regimes613.0ms

Accuracy

55.2% (6.7b remaining)

Error of 11.0b against oracle of 4.3b and baseline of 19.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05950
15950

end0.0ms

sample935.0ms

Algorithm
intervals
Results
247.0ms9131×body80nan
236.0ms8954×body80valid