Details

sample36.0ms

Algorithm

intervals

Results

7.0ms	293×	body	80	valid
7.0ms	291×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	14	4
2	14	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.8b	(* c0 (sqrt (/ A (* V l))))
4.9b	(/ A (* V l))
17.2b	(sqrt (/ A (* V l)))

rewrite41.0ms

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:

25.0ms	(* c0 (sqrt (/ A (* V l))))
7.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* c0 (sqrt (/ A (* V l))))
18.0ms	(/ A (* V l))
30.0ms	(sqrt (/ A (* V l)))

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	215	345
1	819	320
2	3061	317
3	5001	317

prune198.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.8b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.7b	(* (/ 1 V) (/ A l))
17.2b	(sqrt (* (/ 1 V) (/ A l)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`associate-r` `add-cbrt-cube`
16×	`associate-l`
10×	`pow1`
9×	`prod-exp`
8×	`div-exp`
7×	`unswap-sqr`
6×	`sqrt-div` `associate-*r/`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2`

Counts

3 → 98

Calls

3 calls:

34.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
22.0ms	(* (/ 1 V) (/ A l))
9.0ms	(sqrt (* (/ 1 V) (/ A l)))

series112.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
17.0ms	(* (/ 1 V) (/ A l))
46.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	424	535
1	1846	470
2	5001	444

prune254.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(* c0 (sqrt (* (/ 1 1) (/ (/ A l) V))))
4.7b	(/ (/ A l) V)
17.2b	(sqrt (* (/ 1 1) (/ (/ A l) V)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`sqrt-div`
5×	`associate-*r/` `div-inv`
4×	`associate-r`
3×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `sqrt-pow1` `pow-prod-down` `associate-*l/` `sqrt-prod`
1×	`frac-2neg` `pow1/2` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`

Counts

3 → 112

Calls

3 calls:

46.0ms	(* c0 (sqrt (* (/ 1 1) (/ (/ A l) V))))
10.0ms	(/ (/ A l) V)
13.0ms	(sqrt (* (/ 1 1) (/ (/ A l) V)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* c0 (sqrt (* (/ 1 1) (/ (/ A l) V))))
16.0ms	(/ (/ A l) V)
29.0ms	(sqrt (* (/ 1 1) (/ (/ A l) V)))

simplify48.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	450	684
1	1955	642
2	5001	640

prune338.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.6b

localize12.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (/ 1 V) (/ A l))
4.7b	(* (/ 1 V) (/ A l))
17.2b	(sqrt (* (/ 1 V) (/ A l)))
17.2b	(sqrt (* (/ 1 V) (/ A l)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
50×	`times-frac`
48×	`add-exp-log`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
28×	`add-cbrt-cube`
26×	`associate-r` `associate-l`
16×	`div-exp` `prod-exp`
14×	`pow1`
12×	`unswap-sqr`
8×	`cbrt-undiv` `cbrt-unprod`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `rec-exp` `sqrt-pow1` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow1/2` `sqrt-prod` `*-commutative`

Counts

4 → 148

Calls

4 calls:

22.0ms	(* (/ 1 V) (/ A l))
25.0ms	(* (/ 1 V) (/ A l))
10.0ms	(sqrt (* (/ 1 V) (/ A l)))
10.0ms	(sqrt (* (/ 1 V) (/ A l)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (/ 1 V) (/ A l))
22.0ms	(* (/ 1 V) (/ A l))
46.0ms	(sqrt (* (/ 1 V) (/ A l)))
51.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify43.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	357	762
1	1561	656
2	5001	604

prune466.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.6b

regimes571.0ms

Accuracy

48.9% (7.6b remaining)

Error of 12.0b against oracle of 4.4b and baseline of 19.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	29
1	48	29
2	48	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

221.0ms	8898×	body	80	valid
219.0ms	8805×	body	80	nan