Details

Time bar (total: 4.9s)

sample34.0ms

Algorithm
intervals
Results
7.0ms284×body80valid
6.0ms252×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize7.0ms

Local error

Found 3 expressions with local error:

1.0b
(* c0 (sqrt (/ A (* V l))))
6.6b
(/ A (* V l))
16.0b
(sqrt (/ A (* V l)))

rewrite41.0ms

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:
25.0ms
(* c0 (sqrt (/ A (* V l))))
7.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
21.0ms
(/ 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

prune199.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.0b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite134.0ms

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)
70.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
38.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
21.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt A)
75.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
58.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify68.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05181059
12563904
25001844

prune354.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
2.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
16.0b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

rewrite415.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
40×add-cbrt-cube
26×prod-exp cbrt-unprod
17×cbrt-undiv add-sqr-sqrt div-exp
11×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
10×associate-*l*
7×times-frac
6×sqrt-div associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod frac-times pow-prod-down associate-*l/ unswap-sqr
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt A)
239.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
89.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
83.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt A)
73.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))))
43.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l))
55.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (* (* (cbrt (cbrt A)) (cbrt (cbrt A))) (cbrt (cbrt A))) l)))

simplify81.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05291795
127361333
250021171

prune325.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 3.6b

localize7.0ms

Local error

Found 3 expressions with local error:

1.0b
(* c0 (sqrt (/ (/ A V) l)))
4.5b
(/ (/ A V) l)
16.0b
(sqrt (/ (/ A V) l))

rewrite66.0ms

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:
36.0ms
(* c0 (sqrt (/ (/ A V) l)))
11.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series109.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ (/ A V) l)))
21.0ms
(/ (/ A V) l)
39.0ms
(sqrt (/ (/ A V) l))

simplify54.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05841424
120141350
250011314

prune553.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.0b

regimes531.0ms

Accuracy

0% (1.0b 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

sample1.0s

Algorithm
intervals
Results
214.0ms8973×body80nan
213.0ms8956×body80valid