Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	277×	body	80	valid
6.0ms	257×	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: 22.1b

localize9.0ms

Local error

Found 3 expressions with local error:

2.0b	(* c0 (sqrt (/ A (* V l))))
7.2b	(/ A (* V l))
14.9b	(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:

11.0ms	(* 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)))

simplify62.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	209	321
1	813	296
2	3055	293
3	5001	293

prune197.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
2.0b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.9b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 106

Calls

4 calls:

0.0ms	(cbrt A)
43.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
22.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt A)
70.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
45.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
51.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify64.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	510	1001
1	2553	846
2	5001	786

prune337.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

2.0b	(* c0 (sqrt (* (/ A V) (/ 1 l))))
3.1b	(* (/ A V) (/ 1 l))
14.9b	(sqrt (* (/ A V) (/ 1 l)))

rewrite38.0ms

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×	`sqrt-div` `div-exp`
7×	`associate-*r/` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`frac-times` `pow-prod-down` `associate-*l/` `un-div-inv` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2`

Counts

3 → 95

Calls

3 calls:

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

series100.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))
19.0ms	(* (/ A V) (/ 1 l))
35.0ms	(sqrt (* (/ A V) (/ 1 l)))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	434	512
1	1878	452
2	5001	413

prune251.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (/ A V) (/ 1 l))
3.1b	(* (/ A V) (/ 1 l))
14.9b	(sqrt (* (/ A V) (/ 1 l)))
14.9b	(sqrt (* (/ A V) (/ 1 l)))

rewrite45.0ms

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` `sqrt-div` `cbrt-unprod`
4×	`frac-times` `rec-exp` `sqrt-pow1` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `div-inv` `add-log-exp`
2×	`pow1/2` `sqrt-prod` `*-commutative`

Counts

4 → 144

Calls

4 calls:

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

series106.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (/ A V) (/ 1 l))
20.0ms	(* (/ A V) (/ 1 l))
30.0ms	(sqrt (* (/ A V) (/ 1 l)))
31.0ms	(sqrt (* (/ A V) (/ 1 l)))

simplify43.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	358	728
1	1528	630
2	5001	552

prune440.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 5.6b

regimes647.0ms

Accuracy

38% (8.2b remaining)

Error of 12.5b against oracle of 4.3b and baseline of 17.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	39
1	56	39

end0.0ms

sample900.0ms

Algorithm

intervals

Results

238.0ms	8907×	body	80	valid
226.0ms	8937×	body	80	nan