Details

Time bar (total: 5.7s)

sample49.0ms

Algorithm
intervals
Results
15.0ms278×body80nan
14.0ms284×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize6.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
4.9b
(/ A (* V l))
13.3b
(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×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:
10.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify61.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune456.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ A (* V l))
4.9b
(/ A (* V l))
13.3b
(sqrt (/ A (* V l)))
13.3b
(sqrt (/ A (* V l)))

rewrite13.0ms

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

series28.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

simplify43.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune773.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (* V l))
1.9b
(* c0 (sqrt (* A (/ 1 (* V l)))))
4.8b
(* A (/ 1 (* V l)))
13.3b
(sqrt (* A (/ 1 (* V l))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
14×pow1 prod-exp
11×add-cube-cbrt *-un-lft-identity associate-*r*
8×div-exp
6×times-frac associate-*l* cbrt-unprod
5×associate-*r/
4×cbrt-undiv rec-exp sqrt-div 1-exp pow-prod-down add-log-exp
3×un-div-inv associate-/l*
2×pow-flip sqrt-pow1 sqrt-prod *-commutative div-inv unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/r* inv-pow
Counts
4 → 94
Calls
4 calls:
4.0ms
(/ 1 (* V l))
27.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
12.0ms
(* A (/ 1 (* V l)))
8.0ms
(sqrt (* A (/ 1 (* V l))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1 (* V l))
17.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
5.0ms
(* A (/ 1 (* V l)))
9.0ms
(sqrt (* A (/ 1 (* V l))))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0296435
11358375
25002356

prune529.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.5b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 V) (/ 1 l))
1.9b
(* c0 (sqrt (* A (* (/ 1 V) (/ 1 l)))))
4.8b
(* A (* (/ 1 V) (/ 1 l)))
13.3b
(sqrt (* A (* (/ 1 V) (/ 1 l))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
104×add-exp-log
50×prod-exp
47×add-sqr-sqrt
36×add-cbrt-cube
32×div-exp
30×times-frac
27×*-un-lft-identity
21×pow1 add-cube-cbrt
20×associate-*r/
19×associate-*l*
18×associate-*r*
16×rec-exp 1-exp
14×cbrt-unprod
10×pow-prod-down unswap-sqr
8×cbrt-undiv sqrt-div
4×frac-times associate-*l/ un-div-inv add-log-exp
3×sqrt-pow1 *-commutative
2×pow-flip sqrt-prod div-inv inv-pow
1×pow1/2
Counts
4 → 149
Calls
4 calls:
16.0ms
(* (/ 1 V) (/ 1 l))
52.0ms
(* c0 (sqrt (* A (* (/ 1 V) (/ 1 l)))))
19.0ms
(* A (* (/ 1 V) (/ 1 l)))
18.0ms
(sqrt (* A (* (/ 1 V) (/ 1 l))))

series31.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (/ 1 V) (/ 1 l))
15.0ms
(* c0 (sqrt (* A (* (/ 1 V) (/ 1 l)))))
5.0ms
(* A (* (/ 1 V) (/ 1 l)))
9.0ms
(sqrt (* A (* (/ 1 V) (/ 1 l))))

simplify55.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0595829
12390684
25001632

prune705.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.0b

regimes1.3s

Accuracy

47.7% (7.5b remaining)

Error of 12.9b against oracle of 5.5b and baseline of 19.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04831
14831

end0.0ms

sample1.3s

Algorithm
intervals
Results
445.0ms8915×body80valid
445.0ms9048×body80nan