Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	304×	body	80	nan
7.0ms	287×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.8b	(* c0 (sqrt (/ A (* V l))))
3.9b	(/ A (* V l))
18.8b	(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×	`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:

10.0ms	(* c0 (sqrt (/ A (* V l))))
3.0ms	(/ A (* V l))
3.0ms	(sqrt (/ A (* V l)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(/ A (* V l))
34.0ms	(sqrt (/ A (* V l)))

simplify65.0ms

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

prune199.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(* (sqrt (/ A (* V l))) c0)
3.9b	(/ A (* V l))
18.8b	(sqrt (/ A (* V l)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `associate-l` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1`
3×	`expm1-log1p-u` `associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 72

Calls

3 calls:

12.0ms	(* (sqrt (/ A (* V l))) c0)
3.0ms	(/ A (* V l))
3.0ms	(sqrt (/ A (* V l)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (sqrt (/ A (* V l))) c0)
19.0ms	(/ A (* V l))
30.0ms	(sqrt (/ A (* V l)))

simplify99.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	249	359
1	922	333
2	4652	331
3	5001	330

prune200.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.6b

localize9.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ A (* V l))
3.9b	(/ A (* V l))
18.8b	(sqrt (/ A (* V l)))
18.8b	(sqrt (/ A (* V l)))

rewrite14.0ms

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)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ A (* V l))
19.0ms	(/ A (* V l))
30.0ms	(sqrt (/ A (* V l)))
34.0ms	(sqrt (/ A (* V l)))

simplify44.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	135	366
1	444	332
2	1805	332
3	5001	332

prune308.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.6b

localize15.0ms

Local error

Found 4 expressions with local error:

18.8b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
20.2b	(cbrt (/ A (* V l)))
20.2b	(cbrt (/ A (* V l)))
20.2b	(cbrt (/ A (* V l)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-up`
7×	`sqrt-div`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 87

Calls

4 calls:

20.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
2.0ms	(cbrt (/ A (* V l)))
2.0ms	(cbrt (/ A (* V l)))
2.0ms	(cbrt (/ A (* V l)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
83.0ms	(cbrt (/ A (* V l)))
82.0ms	(cbrt (/ A (* V l)))
81.0ms	(cbrt (/ A (* V l)))

simplify73.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	191	618
1	430	577
2	1891	557
3	5001	525

prune329.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 7.6b

regimes499.0ms

Accuracy

54.8% (5.7b remaining)

Error of 11.9b against oracle of 6.3b and baseline of 18.8b

bsearch60.0ms

Steps

Iters	Range		Point
9	4.1630020708703525e-289	4.2641970366657827e-283	4.24303772276657e-289

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

end0.0ms

sample882.0ms

Algorithm

intervals

Results

233.0ms	8851×	body	80	valid
231.0ms	8852×	body	80	nan