Details

Time bar (total: 4.6s)

sample47.0ms

Algorithm
intervals
Results
12.0ms282×body80valid
10.0ms263×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: 22.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

2.5b
(* c0 (sqrt (/ A (* V l))))
5.2b
(/ A (* V l))
17.7b
(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×associate-*l* 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 → 66
Calls
3 calls:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune183.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New571875
Fresh000
Picked101
Done000
Total581876

Merged error: 8.1b

Counts
76 → 18

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
2.5b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.5b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 106
Calls
4 calls:
1.0ms
(cbrt A)
11.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
13.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt A)
66.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
47.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
54.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05101001
12553846
25001786

prune308.0ms

Filtered
118 candidates to 87 candidates (73.7%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1135118
Fresh21517
Picked101
Done000
Total11620136

Merged error: 6.4b

Counts
136 → 20

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b
(/ (/ (cbrt A) V) l)
2.5b
(* c0 (sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))))
2.8b
(* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))
17.7b
(sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
263×times-frac
154×add-sqr-sqrt
143×add-cube-cbrt *-un-lft-identity
74×associate-*r*
64×cbrt-prod
32×add-exp-log
23×add-cbrt-cube
22×associate-/l*
17×pow1
10×prod-exp cbrt-unprod
9×cbrt-undiv div-exp div-inv
7×pow-prod-down
5×unswap-sqr
4×associate-*r/ associate-*l* add-log-exp
3×sqrt-pow1 associate-/r*
2×sqrt-div sqrt-prod *-commutative
1×frac-2neg pow1/2 clear-num associate-/l/
Counts
4 → 237
Calls
4 calls:
11.0ms
(/ (/ (cbrt A) V) l)
16.0ms
(* c0 (sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))))
23.0ms
(* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))
12.0ms
(sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l)))

series235.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (/ (cbrt A) V) l)
71.0ms
(* c0 (sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))))
47.0ms
(* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))
51.0ms
(sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l)))

simplify53.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010112225
150011956

prune726.0ms

Filtered
249 candidates to 212 candidates (85.1%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2490249
Fresh01919
Picked011
Done000
Total24920269

Merged error: 6.4b

Counts
269 → 20

localize6.0ms

Local error

Found 3 expressions with local error:

2.5b
(* c0 (sqrt (/ (/ A V) l)))
4.2b
(/ (/ A V) l)
17.7b
(sqrt (/ (/ A V) l))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv rem-sqrt-square div-exp associate-*l* associate-/r* add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 191
Calls
3 calls:
19.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series99.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ (/ A V) l)))
19.0ms
(/ (/ A V) l)
30.0ms
(sqrt (/ (/ A V) l))

simplify65.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05781400
120081326
250021290

prune511.0ms

Filtered
200 candidates to 164 candidates (82.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New18515200
Fresh12618
Picked101
Done101
Total19921220

Merged error: 0.1b

Counts
220 → 21

regimes627.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample999.0ms

Algorithm
intervals
Results
272.0ms8894×body80valid
249.0ms8928×body80nan