Details

Time bar (total: 4.8s)

sample30.0ms

Algorithm
intervals
Results
7.0ms283×body80valid
6.0ms250×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: 23.6b

localize6.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ A (* V l))))
5.6b
(/ A (* V l))
18.7b
(sqrt (/ A (* V l)))

rewrite17.0ms

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))
4.0ms
(sqrt (/ A (* V l)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune190.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
2.0b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.7b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.7b
(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)
12.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
13.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt A)
68.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
48.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
56.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05101001
12553846
25001786

prune337.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.3b

localize10.0ms

Local error

Found 3 expressions with local error:

2.0b
(* c0 (sqrt (/ (/ A V) l)))
4.9b
(/ (/ A V) l)
18.7b
(sqrt (/ (/ A V) l))

rewrite38.0ms

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 rem-sqrt-square div-exp associate-*l* associate-/r* 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 → 191
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series99.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ (/ A V) l)))
25.0ms
(/ (/ A V) l)
31.0ms
(sqrt (/ (/ A V) l))

simplify53.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05781400
120081326
250021290

prune605.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite6.0ms

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

series895.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt l)
172.0ms
(cbrt l)
180.0ms
(cbrt A)
371.0ms
(cbrt A)

simplify57.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune211.0ms

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 0.0b

regimes704.0ms

Accuracy

0% (1.1b 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

sample915.0ms

Algorithm
intervals
Results
239.0ms8883×body80valid
229.0ms8946×body80nan