Details

Time bar (total: 6.2s)

sample49.0ms

Algorithm
intervals
Results
14.0ms284×body80valid
14.0ms278×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize9.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
4.9b
(/ A (* V l))
13.3b
(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)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune507.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
4.9b
(/ A (* V l))
13.3b
(sqrt (/ A (* V l)))

rewrite18.0ms

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)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune553.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.5b

localize10.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ A (* V l))
4.9b
(/ A (* V l))
13.3b
(sqrt (/ A (* V l)))
13.3b
(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)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
7.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0135366
1444332
21805332
35001332

prune836.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ A (* V l))
4.9b
(/ A (* V l))
16.2b
(cbrt (/ A (* V l)))
16.2b
(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)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
23.0ms
(cbrt (/ A (* V l)))
21.0ms
(cbrt (/ A (* V l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0185436
1544370
22218366
35001358

prune731.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.5b

regimes1.6s

Accuracy

66.2% (4.3b remaining)

Error of 11.1b against oracle of 6.7b and baseline of 19.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04430
15030
25030

end0.0ms

sample1.4s

Algorithm
intervals
Results
452.0ms8915×body80valid
446.0ms9048×body80nan