Details

Time bar (total: 5.1s)

sample30.0ms

Algorithm
intervals
Results
8.0ms283×body80valid
6.0ms250×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: 23.6b

localize10.0ms

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×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:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify67.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune213.0ms

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×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)
11.0ms
(* 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)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt A)
75.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
43.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
56.0ms
(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

prune375.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 7.3b

localize7.0ms

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))

rewrite40.0ms

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:
16.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
8.0ms
(sqrt (/ (/ A V) l))

series109.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* c0 (sqrt (/ (/ A V) l)))
20.0ms
(/ (/ A V) l)
36.0ms
(sqrt (/ (/ A V) l))

simplify57.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05841424
120141350
250011314

prune678.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series930.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt l)
386.0ms
(cbrt l)
184.0ms
(cbrt A)
184.0ms
(cbrt A)

simplify54.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
073172
1149160
2350152
31283152
45001152

prune258.0ms

Pruning

26 alts after pruning (24 fresh and 2 done)

Merged error: 0.0b

regimes734.0ms

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

sample898.0ms

Algorithm
intervals
Results
243.0ms8883×body80valid
227.0ms8946×body80nan