Details

Time bar (total: 4.1s)

sample36.0ms

Algorithm
intervals
Results
10.0ms280×body80valid
9.0ms256×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: 18.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ A (* V l))))
6.5b
(/ A (* V l))
13.7b
(sqrt (/ A (* V l)))

rewrite21.0ms

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

series97.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune178.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New601575
Fresh000
Picked011
Done000
Total601676

Merged error: 6.6b

Counts
76 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.8b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.2b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite39.0ms

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)
12.0ms
(* 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)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt A)
66.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
44.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
53.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05101001
12553846
25002786

prune290.0ms

Filtered
118 candidates to 87 candidates (73.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1135118
Fresh41014
Picked101
Done011
Total11816134

Merged error: 4.0b

Counts
134 → 16

localize22.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
13.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
13.7b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×associate-*r*
19×add-cube-cbrt *-un-lft-identity
18×add-cbrt-cube
15×pow1
11×cbrt-prod
9×sqrt-div
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×sqrt-pow1 unswap-sqr
4×frac-times associate-*r/ pow-prod-down associate-*l/ add-log-exp
3×pow1/2 sqrt-prod
2×div-inv
1×*-commutative
Counts
4 → 101
Calls
4 calls:
14.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
53.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
50.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
55.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify53.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0417956
12048848
25002775

prune366.0ms

Filtered
113 candidates to 87 candidates (77.0%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh01414
Picked011
Done011
Total11316129

Merged error: 4.0b

Counts
129 → 16

localize7.0ms

Local error

Found 3 expressions with local error:

1.8b
(* c0 (sqrt (/ (/ A l) V)))
5.9b
(/ (/ A l) V)
13.7b
(sqrt (/ (/ A l) V))

rewrite39.0ms

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:
16.0ms
(* c0 (sqrt (/ (/ A l) V)))
6.0ms
(/ (/ A l) V)
7.0ms
(sqrt (/ (/ A l) V))

series98.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ (/ A l) V)))
18.0ms
(/ (/ A l) V)
35.0ms
(sqrt (/ (/ A l) V))

simplify59.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05771400
120391326
250011290

prune463.0ms

Filtered
200 candidates to 165 candidates (82.5%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1919200
Fresh5813
Picked011
Done202
Total19818216

Merged error: 0.1b

Counts
216 → 18

regimes503.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample1.1s

Algorithm
intervals
Results
331.0ms8892×body80valid
317.0ms8827×body80nan

Profiling

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