Details

sample52.0ms

Algorithm

intervals

Results

17.0ms	326×	body	80	nan
16.0ms	283×	body	80	valid

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
4.0b	(/ A (* V l))
18.6b	(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)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(/ 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

prune213.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.3b

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.1b	(* (/ 1 V) (/ A l))
18.6b	(sqrt (* (/ 1 V) (/ A l)))

rewrite37.0ms

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:

16.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
13.0ms	(* (/ 1 V) (/ A l))
5.0ms	(sqrt (* (/ 1 V) (/ A l)))

series123.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms	(* (/ 1 V) (/ A l))
54.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (40.0ms)

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

prune242.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ 1 V) (/ A l))
4.1b	(* (/ 1 V) (/ A l))
18.6b	(sqrt (* (/ 1 V) (/ A l)))
18.6b	(sqrt (* (/ 1 V) (/ A l)))

rewrite43.0ms

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:

13.0ms	(* (/ 1 V) (/ A l))
15.0ms	(* (/ 1 V) (/ A l))
5.0ms	(sqrt (* (/ 1 V) (/ A l)))
5.0ms	(sqrt (* (/ 1 V) (/ A l)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (/ 1 V) (/ A l))
19.0ms	(* (/ 1 V) (/ A l))
54.0ms	(sqrt (* (/ 1 V) (/ A l)))
51.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (35.0ms)

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

prune489.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 4 expressions with local error:

13.7b	(cbrt (/ A l))
13.7b	(cbrt (/ A l))
18.6b	(sqrt (* (/ (* (cbrt (/ A l)) (cbrt (/ A l))) V) (cbrt (/ A l))))
18.6b	(sqrt (* (/ 1 V) (/ A l)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
10×	`pow1`
6×	`sqrt-div`
4×	`add-exp-log` `expm1-log1p-u` `cbrt-div` `sqrt-pow1` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `pow1/2` `pow1/3` `associate-r/` `pow-prod-down` `associate-l/` `sqrt-prod` `div-inv`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt (/ A l))
2.0ms	(cbrt (/ A l))
24.0ms	(sqrt (* (/ (* (cbrt (/ A l)) (cbrt (/ A l))) V) (cbrt (/ A l))))
5.0ms	(sqrt (* (/ 1 V) (/ A l)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (/ A l))
60.0ms	(cbrt (/ A l))
35.0ms	(sqrt (* (/ (* (cbrt (/ A l)) (cbrt (/ A l))) V) (cbrt (/ A l))))
51.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify86.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	191	539
1	476	513
2	1286	442
3	4109	426
4	5001	426

prune375.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.0b

regimes414.0ms

Accuracy

40.3% (9.0b remaining)

Error of 13.8b against oracle of 4.8b and baseline of 19.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	23
1	35	23

end0.0ms

sample1.5s

Algorithm

intervals

Results

528.0ms	8940×	body	80	valid
490.0ms	9182×	body	80	nan