Details

Time bar (total: 5.1s)

sample38.0ms

Algorithm
intervals
Results
11.0ms324×body80nan
9.0ms278×body80valid

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: 21.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.4b
(/ A (* V l))
17.8b
(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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify68.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune180.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New591675
Fresh000
Picked011
Done000
Total591776

Merged error: 6.8b

Counts
76 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.9b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.9b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.8b
(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)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt A)
73.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
45.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
57.0ms
(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

prune301.0ms

Filtered
118 candidates to 85 candidates (72.0%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1117118
Fresh41115
Picked101
Done011
Total11619135

Merged error: 4.8b

Counts
135 → 19

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.8b
(* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))
0.9b
(* c0 (sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))))
17.8b
(sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
37×add-cbrt-cube
33×prod-exp cbrt-unprod
22×cbrt-undiv associate-*r/ div-exp
17×pow1
15×frac-times
14×sqrt-div
13×associate-*l*
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×associate-*l/
7×pow-prod-down
6×cbrt-prod times-frac
5×associate-*r*
4×add-log-exp
3×sqrt-pow1
2×sqrt-prod *-commutative
1×pow1/2 pow1/3 div-inv unswap-sqr
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt A)
18.0ms
(* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))
19.0ms
(* c0 (sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))))
15.0ms
(sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt A)
21.0ms
(* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))
48.0ms
(* c0 (sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))))
37.0ms
(sqrt (* (/ (cbrt A) (* (cbrt V) (cbrt V))) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

simplify67.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05411586
124991222
250021018

prune323.0ms

Filtered
126 candidates to 78 candidates (61.9%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New11610126
Fresh11617
Picked101
Done011
Total11827145

Merged error: 2.1b

Counts
145 → 27

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt A)
0.9b
(* c0 (/ (sqrt (* (cbrt A) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))) (fabs (cbrt V))))
13.9b
(sqrt (* (cbrt A) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
13×times-frac
12×pow1
9×add-exp-log add-cbrt-cube
6×cbrt-prod
5×associate-*r/
4×pow-prod-down sqrt-prod add-log-exp
3×sqrt-pow1 sqrt-div associate-*l*
2×pow1/3 prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv frac-times pow1/2 div-exp associate-*l/ *-commutative div-inv
Counts
4 → 72
Calls
4 calls:
1.0ms
(cbrt A)
1.0ms
(cbrt A)
17.0ms
(* c0 (/ (sqrt (* (cbrt A) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))) (fabs (cbrt V))))
11.0ms
(sqrt (* (cbrt A) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt A)
184.0ms
(cbrt A)
275.0ms
(* c0 (/ (sqrt (* (cbrt A) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l)))) (fabs (cbrt V))))
132.0ms
(sqrt (* (cbrt A) (* (/ (cbrt A) (cbrt V)) (/ (cbrt A) l))))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0332798
11447711
25001711

prune256.0ms

Filtered
84 candidates to 67 candidates (79.8%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New79584
Fresh61925
Picked101
Done011
Total8625111

Merged error: 1.9b

Counts
111 → 25

regimes947.0ms

Accuracy

44.9% (5.6b remaining)

Error of 7.9b against oracle of 2.2b and baseline of 12.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04698
14698

end0.0ms

sample1.1s

Algorithm
intervals
Results
314.0ms8931×body80valid
300.0ms9040×body80nan

Profiling

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