Details

Time bar (total: 3.7s)

sample33.0ms

Algorithm
intervals
Results
8.0ms302×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
3.8b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))

rewrite20.0ms

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:
12.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series108.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune211.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 3 expressions with local error:

1.2b
(* (sqrt (/ A (* V l))) c0)
3.8b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))

rewrite20.0ms

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)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* (sqrt (/ A (* V l))) c0)
21.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify100.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0249359
1922333
24652331
35001330

prune215.0ms

Filtered
81 candidates to 62 candidates (76.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.3b

localize10.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ A (* V l))
3.8b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))
16.4b
(sqrt (/ A (* V l)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 86
Calls
4 calls:
3.0ms
(/ A (* V l))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
3.0ms
(sqrt (/ A (* V l)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))
36.0ms
(sqrt (/ A (* V l)))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0135366
1444332
21805332
35001332

prune324.0ms

Filtered
98 candidates to 76 candidates (77.6%)
Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.3b

localize11.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ A (* V l))
3.8b
(/ A (* V l))
18.8b
(cbrt (/ A (* V l)))
18.8b
(cbrt (/ A (* V l)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log cbrt-prod add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
6×associate-/l*
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
2×cbrt-div frac-2neg pow1/3 prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 82
Calls
4 calls:
3.0ms
(/ A (* V l))
3.0ms
(/ A (* V l))
2.0ms
(cbrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ A (* V l))
21.0ms
(/ A (* V l))
87.0ms
(cbrt (/ A (* V l)))
88.0ms
(cbrt (/ A (* V l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0185436
1544370
22218366
35001358

prune474.0ms

Filtered
94 candidates to 72 candidates (76.6%)
Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.3b

regimes563.0ms

Accuracy

53.5% (6.0b remaining)

Error of 12.1b against oracle of 6.1b and baseline of 19.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227
14227

end0.0ms

sample936.0ms

Algorithm
intervals
Results
251.0ms8960×body80nan
249.0ms8969×body80valid