Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	291×	body	80	valid
7.0ms	270×	body	80	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 19.0b

localize7.0ms

Local error

Found 3 expressions with local error:

2.0b	(* c0 (sqrt (/ A (* V l))))
3.0b	(/ A (* V l))
17.5b	(sqrt (/ A (* V l)))

rewrite42.0ms

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:

23.0ms	(* c0 (sqrt (/ A (* V l))))
11.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* c0 (sqrt (/ A (* V l))))
22.0ms	(/ A (* V l))
29.0ms	(sqrt (/ A (* V l)))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (22.0ms)

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

prune272.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
2.0b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.5b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite139.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 114

Calls

4 calls:

1.0ms	(cbrt A)
72.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
40.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
22.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series339.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt A)
68.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
39.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
53.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify68.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	518	1059
1	2563	904
2	5001	844

prune618.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* V l))
2.0b	(* c0 (sqrt (* A (/ 1 (* V l)))))
3.0b	(* A (/ 1 (* V l)))
17.5b	(sqrt (* A (/ 1 (* V l))))

rewrite122.0ms

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:

11.0ms	(/ 1 (* V l))
60.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
30.0ms	(* A (/ 1 (* V l)))
19.0ms	(sqrt (* A (/ 1 (* V l))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ 1 (* V l))
46.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
18.0ms	(* A (/ 1 (* V l)))
29.0ms	(sqrt (* A (/ 1 (* V l))))

simplify40.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	304	473
1	1366	411
2	5001	392

prune305.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
2.1b	(* (cbrt c0) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.5b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
18×	`cbrt-prod`
13×	`associate-l`
11×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`unswap-sqr`
7×	`cbrt-undiv` `div-exp`
6×	`sqrt-div` `associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `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 → 118

Calls

4 calls:

1.0ms	(cbrt A)
73.0ms	(* (cbrt c0) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
36.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
25.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt A)
203.0ms	(* (cbrt c0) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
45.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
48.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify68.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	517	1140
1	2580	990
2	5001	930

prune795.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.6b

regimes915.0ms

Accuracy

42.4% (8.3b remaining)

Error of 12.9b against oracle of 4.6b and baseline of 19.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms

sample918.0ms

Algorithm

intervals

Results

243.0ms	8912×	body	80	valid
233.0ms	8830×	body	80	nan