Details

sample35.0ms

Algorithm

intervals

Results

7.0ms	278×	body	80	valid
7.0ms	291×	body	80	nan

simplify5.0ms

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: 18.0b

localize9.0ms

Local error

Found 3 expressions with local error:

1.7b	(* c0 (sqrt (/ A (* V l))))
5.4b	(/ A (* V l))
14.2b	(sqrt (/ A (* V l)))

rewrite36.0ms

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:

21.0ms	(* c0 (sqrt (/ A (* V l))))
7.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
38.0ms	(sqrt (/ A (* V l)))

simplify63.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (20.0ms)

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

prune190.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt A)
1.7b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite130.0ms

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:

1.0ms	(cbrt A)
68.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
38.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
20.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt A)
74.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
43.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
55.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify62.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (54.0ms)

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

prune338.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 5.7b

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
14.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
14.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
15×	`pow1`
11×	`cbrt-prod`
9×	`sqrt-div`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`sqrt-pow1` `unswap-sqr`
4×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `add-log-exp`
3×	`pow1/2` `sqrt-prod`
2×	`div-inv`
1×	`*-commutative`

Counts

4 → 101

Calls

4 calls:

36.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
20.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
22.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
21.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
51.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
57.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
53.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify53.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	417	956
1	2048	848
2	5002	775

prune433.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 5.7b

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.3b	(* (/ 1 V) (/ A l))
14.2b	(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×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2`

Counts

3 → 92

Calls

3 calls:

33.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
22.0ms	(* (/ 1 V) (/ A l))
9.0ms	(sqrt (* (/ 1 V) (/ A l)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms	(* (/ 1 V) (/ A l))
58.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	418	505
1	1840	440
2	5001	414

prune200.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 5.6b

regimes616.0ms

Accuracy

31.6% (9.3b remaining)

Error of 14.1b against oracle of 4.8b and baseline of 18.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	29
1	39	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

216.0ms	8870×	body	80	valid
203.0ms	8793×	body	80	nan