Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
9.0ms283×body80valid
8.0ms302×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1144
2144

prune3.0ms

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)))

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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
23.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune212.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.3b

localize7.0ms

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)))

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-*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:
7.0ms
(* (sqrt (/ A (* V l))) c0)
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series130.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (sqrt (/ A (* V l))) c0)
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify102.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0249359
1922333
24652331
35001330

prune211.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

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)))

rewrite19.0ms

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:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))
32.0ms
(sqrt (/ A (* V l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0135366
1444332
21805332
35001332

prune320.0ms

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)))

rewrite18.0ms

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:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
3.0ms
(cbrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
82.0ms
(cbrt (/ A (* V l)))
84.0ms
(cbrt (/ A (* V l)))

simplify52.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0185436
1544370
22218366
35001358

prune290.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227
14227

end0.0ms

sample914.0ms

Algorithm
intervals
Results
244.0ms8969×body80valid
232.0ms8960×body80nan