Details

Time bar (total: 5.3s)

sample33.0ms

Algorithm
intervals
Results
10.0ms273×body80valid
7.0ms273×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

localize6.0ms

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)))

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×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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215346
1819321
23061317
35001317

prune216.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.9b

localize10.0ms

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)))

rewrite44.0ms

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)
16.0ms
(* 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)))

series539.0ms

Counts
4 → 12
Calls
4 calls:
364.0ms
(cbrt A)
72.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
50.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
52.0ms
(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

prune377.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 4.6b

localize17.0ms

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)))

rewrite52.0ms

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×expm1-log1p-u frac-times sqrt-pow1 associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 154
Calls
4 calls:
14.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.0ms
(* (/ (* (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)))

series192.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04211508
120541332
250011206

prune642.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 4.6b

localize16.0ms

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))))

rewrite34.0ms

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 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×pow1/2 sqrt-prod
Counts
4 → 85
Calls
4 calls:
5.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
8.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
5.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
15.0ms
(sqrt (* (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (cbrt (/ (* (cbrt A) (cbrt A)) V))) (* (cbrt (/ (* (cbrt A) (cbrt A)) V)) (/ (cbrt A) l))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
198.0ms
(cbrt (/ (* (cbrt A) (cbrt A)) V))
207.0ms
(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))))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
02451084
15311031
214171014
350011008

prune319.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

regimes813.0ms

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

sample931.0ms

Algorithm
intervals
Results
248.0ms8911×body80valid
225.0ms9122×body80nan