Details

Time bar (total: 4.6s)

sample31.0ms

Algorithm
intervals
Results
7.0ms282×body80valid
7.0ms263×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)))

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

series98.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune204.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New631881
Fresh000
Picked101
Done000
Total641882

Merged error: 8.1b

Counts
82 → 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)))

rewrite41.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 114
Calls
4 calls:
1.0ms
(cbrt A)
11.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
14.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt A)
66.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
45.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
50.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05181059
12563904
25001844

prune318.0ms

Filtered
126 candidates to 95 candidates (75.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1215126
Fresh21517
Picked101
Done000
Total12420144

Merged error: 6.4b

Counts
144 → 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)))

rewrite74.0ms

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×expm1-log1p-u associate-*r/ associate-*l* log1p-expm1-u 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 → 245
Calls
4 calls:
8.0ms
(/ (/ (cbrt A) V) l)
15.0ms
(* c0 (sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))))
25.0ms
(* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))
12.0ms
(sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ (/ (cbrt A) V) l)
68.0ms
(* c0 (sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))))
41.0ms
(* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l))
55.0ms
(sqrt (* (* (cbrt A) (cbrt A)) (/ (/ (cbrt A) V) l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010192287
150012011

prune742.0ms

Filtered
257 candidates to 220 candidates (85.6%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New2570257
Fresh01919
Picked011
Done000
Total25720277

Merged error: 6.4b

Counts
277 → 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))

rewrite38.0ms

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 expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u 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 → 197
Calls
3 calls:
15.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series102.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ (/ A V) l)))
19.0ms
(/ (/ A V) l)
35.0ms
(sqrt (/ (/ A V) l))

simplify57.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05841424
120141350
250011314

prune482.0ms

Filtered
206 candidates to 170 candidates (82.5%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New19115206
Fresh12618
Picked101
Done101
Total20521226

Merged error: 0.1b

Counts
226 → 21

regimes669.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample906.0ms

Algorithm
intervals
Results
241.0ms8894×body80valid
229.0ms8928×body80nan