Details

Time bar (total: 4.0s)

sample34.0ms

Algorithm
intervals
Results
9.0ms302×body80nan
7.0ms287×body80valid

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: 21.7b

localize7.0ms

Local error

Found 3 expressions with local error:

2.3b
(* c0 (sqrt (/ A (* V l))))
4.3b
(/ A (* V l))
19.9b
(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)))

series102.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune208.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.5b

localize10.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ A (* V l))
4.3b
(/ A (* V l))
19.9b
(sqrt (/ A (* V l)))
19.9b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))
31.0ms
(sqrt (/ A (* V l)))

simplify44.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune322.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.5b

localize17.0ms

Local error

Found 4 expressions with local error:

3.2b
(sqrt (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
4.3b
(/ A (* V l))
19.9b
(sqrt (/ A (* V l)))
19.9b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
57×sqrt-prod
40×times-frac
23×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×pow1
6×cbrt-prod rem-sqrt-square sqrt-pow1 div-inv
4×pow1/2 sqrt-div add-log-exp
3×associate-/l*
2×cbrt-undiv div-exp associate-/r/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 99
Calls
4 calls:
8.0ms
(sqrt (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
8.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
7.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))))
20.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))
52.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify90.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0330837
11073794
24241787
35001781

prune657.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 7.5b

localize16.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ A (* V l))
4.3b
(/ A (* V l))
19.9b
(sqrt (/ A (* V l)))
23.4b
(pow (/ A (* V l)) 1/4)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
12×times-frac
7×unpow-prod-down sqrt-prod
6×pow1 div-exp associate-/l*
4×cbrt-undiv div-inv add-log-exp
3×pow-unpow pow-exp prod-exp
2×frac-2neg clear-num associate-/r* cbrt-unprod
1×pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 sqrt-div sqr-pow
Counts
4 → 83
Calls
4 calls:
5.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))
5.0ms
(pow (/ A (* V l)) 1/4)

series151.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))
76.0ms
(pow (/ A (* V l)) 1/4)

simplify107.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0267399
1926352
24250351
35002347

prune273.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.5b

regimes602.0ms

Accuracy

49.7% (6.5b remaining)

Error of 13.0b against oracle of 6.5b and baseline of 19.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04528
14528

end0.0ms

sample873.0ms

Algorithm
intervals
Results
237.0ms8907×body80valid
215.0ms8794×body80nan