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 (2.0ms)

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
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:
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:
47.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune203.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.5b

localize13.0ms

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)))

rewrite82.0ms

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)
43.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
22.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt A)
70.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
46.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
53.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05181059
12563904
25001844

prune360.0ms

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))

rewrite50.0ms

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:
24.0ms
(* c0 (sqrt (/ (/ A l) V)))
8.0ms
(/ (/ A l) V)
7.0ms
(sqrt (/ (/ A l) V))

series100.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* c0 (sqrt (/ (/ A l) V)))
23.0ms
(/ (/ A l) V)
31.0ms
(sqrt (/ (/ A l) V))

simplify57.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05831424
120451350
250011314

prune620.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt V)
0.0ms
(cbrt V)
0.0ms
(cbrt A)
1.0ms
(cbrt A)

series700.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt V)
171.0ms
(cbrt V)
181.0ms
(cbrt A)
177.0ms
(cbrt A)

simplify56.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune252.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 0.0b

regimes616.0ms

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

sample929.0ms

Algorithm
intervals
Results
245.0ms8919×body80valid
223.0ms8971×body80nan