Details

Time bar (total: 4.8s)

sample32.0ms

Algorithm
intervals
Results
8.0ms288×body80valid
7.0ms275×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: 18.7b

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (/ A (* V l))))
5.4b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))

rewrite22.0ms

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:
14.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series104.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune223.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.2b

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b
(* (sqrt (/ A (* V l))) c0)
5.4b
(/ A (* V l))
15.5b
(sqrt (/ A (* V l)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*l* add-cbrt-cube
9×times-frac
6×pow1
3×expm1-log1p-u associate-*r* 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 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
3 → 72
Calls
3 calls:
12.0ms
(* (sqrt (/ A (* V l))) c0)
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(* (sqrt (/ A (* V l))) c0)
24.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify103.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0249359
1922333
24652331
35001330

prune221.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.7b

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b
(* (sqrt (/ (/ A V) l)) c0)
4.4b
(/ (/ A V) l)
15.5b
(sqrt (/ (/ A V) l))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*l*
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-*r* associate-/r* log1p-expm1-u add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*l/ prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 197
Calls
3 calls:
27.0ms
(* (sqrt (/ (/ A V) l)) c0)
6.0ms
(/ (/ A V) l)
11.0ms
(sqrt (/ (/ A V) l))

series136.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* (sqrt (/ (/ A V) l)) c0)
21.0ms
(/ (/ A V) l)
37.0ms
(sqrt (/ (/ A V) l))

simplify57.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06101378
119641328
250021309

prune658.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 1.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.6b
(cbrt l)
0.6b
(cbrt l)
1.4b
(* (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) c0)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×sqrt-div associate-*r/ associate-*l* associate-*l/ *-commutative
Counts
4 → 60
Calls
4 calls:
0.0ms
(cbrt A)
0.0ms
(cbrt l)
1.0ms
(cbrt l)
123.0ms
(* (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) c0)

series901.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt A)
178.0ms
(cbrt l)
181.0ms
(cbrt l)
359.0ms
(* (* (fabs (/ (/ (cbrt A) (cbrt V)) (cbrt l))) (sqrt (/ (/ (cbrt A) (cbrt V)) (cbrt l)))) c0)

simplify101.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0290548
1974473
24070467
35002464

prune265.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 0.0b

regimes594.0ms

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

sample923.0ms

Algorithm
intervals
Results
246.0ms8884×body80valid
235.0ms8912×body80nan