Details

Time bar (total: 3.2s)

sample33.0ms

Algorithm
intervals
Results
8.0ms293×body80valid
7.0ms289×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.6b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.5b
(/ A (* V l))
16.9b
(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:
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:
46.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune194.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New711081
Fresh000
Picked011
Done000
Total711182

Merged error: 6.9b

Counts
82 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.7b
(* (/ 1 V) (/ A l))
16.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite28.0ms

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:
9.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0424535
11846470
25001444

prune218.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh189
Picked011
Done101
Total10414118

Merged error: 4.9b

Counts
118 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ A (* V l))
5.5b
(/ A (* V l))
16.9b
(sqrt (/ A (* V l)))
16.9b
(sqrt (/ A (* V l)))

rewrite18.0ms

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)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))
34.0ms
(sqrt (/ A (* V l)))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0135366
1444332
21805332
35001332

prune274.0ms

Filtered
98 candidates to 76 candidates (77.6%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New98098
Fresh01212
Picked011
Done011
Total9814112

Merged error: 4.9b

Counts
112 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ A V) (/ 1 l))))
5.9b
(* (/ A V) (/ 1 l))
16.9b
(sqrt (* (/ A V) (/ 1 l)))

rewrite29.0ms

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×sqrt-div div-exp
7×associate-*r/ unswap-sqr
5×cbrt-unprod
4×cbrt-undiv
3×expm1-log1p-u frac-times pow-prod-down associate-*l/ un-div-inv log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
9.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
11.0ms
(* (/ A V) (/ 1 l))
6.0ms
(sqrt (* (/ A V) (/ 1 l)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
20.0ms
(* (/ A V) (/ 1 l))
34.0ms
(sqrt (* (/ A V) (/ 1 l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0440542
11884482
25001443

prune195.0ms

Filtered
110 candidates to 77 candidates (70.0%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1073110
Fresh2911
Picked011
Done022
Total10915124

Merged error: 4.9b

Counts
124 → 15

regimes592.0ms

Accuracy

42.5% (8.4b remaining)

Error of 12.9b against oracle of 4.6b and baseline of 19.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04224
14224

end0.0ms

sample908.0ms

Algorithm
intervals
Results
253.0ms8931×body80valid
224.0ms8718×body80nan