Details

Time bar (total: 5.1s)

sample30.0ms

Algorithm
intervals
Results
7.0ms273×body80valid
6.0ms273×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.3b
(/ A (* V l))
18.5b
(sqrt (/ A (* V l)))

rewrite20.0ms

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))
7.0ms
(sqrt (/ A (* V l)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune195.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.9b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
5.0b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite38.0ms

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))))
14.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt A)
68.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms
(* (/ (* (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 (55.0ms)

IterNodesCost
05101001
12553846
25001786

prune350.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.6b

localize14.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
5.0b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
18.5b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
56×times-frac
46×add-exp-log
44×associate-*r*
34×add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
22×cbrt-prod
16×prod-exp cbrt-unprod
14×pow1 cbrt-undiv div-exp associate-*l*
12×unswap-sqr
6×sqrt-div
4×frac-times sqrt-pow1 associate-*r/ pow-prod-down associate-*l/ div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 146
Calls
4 calls:
13.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
11.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
47.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
51.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
56.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify58.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04171440
120481264
250021138

prune611.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 4.6b

localize17.0ms

Local error

Found 4 expressions with local error:

8.3b
(cbrt (/ (* (cbrt A) (cbrt A)) V))
8.3b
(cbrt (/ (* (cbrt A) (cbrt A)) V))
8.3b
(cbrt (/ (* (cbrt A) (cbrt A)) V))
18.5b
(sqrt (* (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (cbrt (/ (* (cbrt A) (cbrt A)) V))) (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (/ (cbrt A) l))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-div
21×cbrt-prod
17×pow1 frac-times
15×sqrt-div
11×associate-*r/ associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×pow-prod-down
5×sqrt-pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3 div-inv
1×pow1/2 sqrt-prod
Counts
4 → 77
Calls
4 calls:
4.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
4.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
4.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
17.0ms
(sqrt (* (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (cbrt (/ (* (cbrt A) (cbrt A)) V))) (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (/ (cbrt A) l))))

series655.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
196.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
204.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
58.0ms
(sqrt (* (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (cbrt (/ (* (cbrt A) (cbrt A)) V))) (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (/ (cbrt A) l))))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
02411004
1524951
21397934
35002928

prune282.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

regimes983.0ms

Accuracy

50.7% (4.6b remaining)

Error of 7.8b against oracle of 3.2b and baseline of 12.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05972
15972

end0.0ms

sample884.0ms

Algorithm
intervals
Results
236.0ms8911×body80valid
222.0ms9122×body80nan