Details

Time bar (total: 4.1s)

sample50.0ms

Algorithm
intervals
Results
16.0ms286×body80valid
15.0ms305×body80nan

simplify6.0ms

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: 16.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
4.7b
(/ A (* V l))
15.9b
(sqrt (/ A (* V l)))

rewrite21.0ms

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:
13.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(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)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune230.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.1b

localize10.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
4.7b
(/ A (* V l))
15.9b
(sqrt (/ A (* V l)))
15.9b
(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 expm1-log1p-u div-exp log1p-expm1-u 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 → 86
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)))

series105.0ms

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)))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0135366
1444332
21805332
35001332

prune365.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* V l))
0.9b
(* c0 (sqrt (* A (/ 1 (* V l)))))
4.1b
(* A (/ 1 (* V l)))
15.9b
(sqrt (* A (/ 1 (* V l))))

rewrite56.0ms

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 expm1-log1p-u rec-exp sqrt-div 1-exp pow-prod-down log1p-expm1-u 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 → 102
Calls
4 calls:
7.0ms
(/ 1 (* V l))
27.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
12.0ms
(* A (/ 1 (* V l)))
8.0ms
(sqrt (* A (/ 1 (* V l))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ 1 (* V l))
50.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
20.0ms
(* A (/ 1 (* V l)))
31.0ms
(sqrt (* A (/ 1 (* V l))))

simplify40.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0304471
11366411
25001392

prune245.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 6.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 V) (/ 1 l))
0.9b
(* c0 (sqrt (* A (* (/ 1 V) (/ 1 l)))))
4.1b
(* A (* (/ 1 V) (/ 1 l)))
15.9b
(sqrt (* A (* (/ 1 V) (/ 1 l))))

rewrite113.0ms

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×expm1-log1p-u frac-times associate-*l/ un-div-inv log1p-expm1-u add-log-exp
3×sqrt-pow1 *-commutative
2×pow-flip sqrt-prod div-inv inv-pow
1×pow1/2
Counts
4 → 157
Calls
4 calls:
17.0ms
(* (/ 1 V) (/ 1 l))
51.0ms
(* c0 (sqrt (* A (* (/ 1 V) (/ 1 l)))))
22.0ms
(* A (* (/ 1 V) (/ 1 l)))
17.0ms
(sqrt (* A (* (/ 1 V) (/ 1 l))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (/ 1 V) (/ 1 l))
50.0ms
(* c0 (sqrt (* A (* (/ 1 V) (/ 1 l)))))
20.0ms
(* A (* (/ 1 V) (/ 1 l)))
31.0ms
(sqrt (* A (* (/ 1 V) (/ 1 l))))

simplify55.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0603873
12398728
25001676

prune310.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.0b

regimes527.0ms

Accuracy

57.5% (5.9b remaining)

Error of 11.0b against oracle of 5.1b and baseline of 19.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04831
15231
25231

end0.0ms

sample1.4s

Algorithm
intervals
Results
510.0ms8874×body80valid
459.0ms9110×body80nan