Details

Time bar (total: 4.7s)

sample30.0ms

Algorithm
intervals
Results
7.0ms276×body80valid
6.0ms243×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: 20.3b

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
5.2b
(/ A (* V l))
16.1b
(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
times-frac
pow1
associate-*l* div-inv associate-/l* add-log-exp
cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
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:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify75.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune186.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.2b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
5.2b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.1b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite83.0ms

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*
prod-exp cbrt-unprod
cbrt-undiv div-exp unswap-sqr
sqrt-div associate-*r/
add-log-exp
frac-times pow-prod-down associate-*l/
sqrt-pow1 sqrt-prod *-commutative div-inv
pow1/2 pow1/3
Counts
4 → 106
Calls
4 calls:
0.0ms
(cbrt A)
41.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
24.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt A)
73.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
56.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify76.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05101001
12553846
25001786

prune338.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.2b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ (/ A l) V)))
5.1b
(/ (/ A l) V)
16.1b
(sqrt (/ (/ A l) V))

rewrite53.0ms

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
pow1
unswap-sqr
cbrt-undiv rem-sqrt-square div-exp associate-*l* associate-/r* add-log-exp
sqrt-div
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:
29.0ms
(* c0 (sqrt (/ (/ A l) V)))
5.0ms
(/ (/ A l) V)
8.0ms
(sqrt (/ (/ A l) V))

series103.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ (/ A l) V)))
24.0ms
(/ (/ A l) V)
32.0ms
(sqrt (/ (/ A l) V))

simplify64.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05771400
120391326
250011290

prune602.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt V)
0.0ms
(cbrt V)
0.0ms
(cbrt A)
1.0ms
(cbrt A)

series719.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt V)
184.0ms
(cbrt V)
180.0ms
(cbrt A)
177.0ms
(cbrt A)

simplify60.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune230.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.0b

regimes653.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample915.0ms

Algorithm
intervals
Results
242.0ms8919×body80valid
229.0ms8971×body80nan