Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	287×	body	80	valid
7.0ms	294×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 19.9b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
6.3b	(/ A (* V l))
15.1b	(sqrt (/ A (* V l)))

rewrite17.0ms

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:

7.0ms	(* c0 (sqrt (/ A (* V l))))
4.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series96.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
33.0ms	(sqrt (/ A (* V l)))

simplify65.0ms

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

prune184.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	58	17	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	17	76

Merged error: 6.3b

Counts

76 → 17

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.1b	(* (/ 1 V) (/ A l))
15.1b	(sqrt (* (/ 1 V) (/ A l)))

rewrite29.0ms

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:

9.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
11.0ms	(* (/ 1 V) (/ A l))
5.0ms	(sqrt (* (/ 1 V) (/ A l)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms	(* (/ 1 V) (/ A l))
54.0ms	(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

prune206.0ms

Filtered

101 candidates to 68 candidates (67.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	7	9	16
Picked	1	0	1
Done	0	0	0
Total	104	14	118

Merged error: 4.5b

Counts

118 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
1.2b	(* c0 (sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))))
4.3b	(* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))
15.1b	(sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-exp-log`
65×	`add-sqr-sqrt`
63×	`times-frac`
34×	`add-cbrt-cube`
33×	`div-exp`
31×	`*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`prod-exp`
26×	`associate-r`
20×	`associate-l`
17×	`cbrt-undiv`
16×	`cbrt-prod`
15×	`cbrt-unprod`
13×	`unswap-sqr`
11×	`pow1`
6×	`sqrt-div` `associate-*r/`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/` `div-inv`
2×	`sqrt-pow1` `sqrt-prod` `*-commutative`
1×	`pow1/2` `pow1/3`

Counts

4 → 138

Calls

4 calls:

1.0ms	(cbrt l)
15.0ms	(* c0 (sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))))
24.0ms	(* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))
11.0ms	(sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt l)
85.0ms	(* c0 (sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))))
42.0ms	(* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l)))
64.0ms	(sqrt (* (/ (/ 1 V) (* (cbrt l) (cbrt l))) (/ A (cbrt l))))

simplify91.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	760	1470
1	3665	1241
2	5001	1126

prune345.0ms

Filtered

150 candidates to 99 candidates (66.0%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	148	16	164

Merged error: 3.6b

Counts

164 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
2.0b	(* (/ 1 V) (/ A (cbrt l)))
2.3b	(/ (* c0 (sqrt (* (/ 1 V) (/ A (cbrt l))))) (sqrt (* (cbrt l) (cbrt l))))
12.6b	(sqrt (* (/ 1 V) (/ A (cbrt l))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
43×	`times-frac`
31×	`add-exp-log`
30×	`*-un-lft-identity`
27×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
15×	`cbrt-prod`
13×	`associate-l`
10×	`div-exp`
9×	`pow1` `prod-exp` `unswap-sqr`
6×	`cbrt-undiv` `sqrt-div` `associate-*r/`
5×	`cbrt-unprod`
4×	`associate-/r*` `add-log-exp`
3×	`frac-times` `associate-*l/` `sqrt-prod` `div-inv` `associate-/l/`
2×	`rec-exp` `sqrt-pow1` `1-exp` `pow-prod-down`
1×	`frac-2neg` `pow1/2` `pow1/3` `clear-num` `-commutative` `associate-/l`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt l)
18.0ms	(* (/ 1 V) (/ A (cbrt l)))
15.0ms	(/ (* c0 (sqrt (* (/ 1 V) (/ A (cbrt l))))) (sqrt (* (cbrt l) (cbrt l))))
6.0ms	(sqrt (* (/ 1 V) (/ A (cbrt l))))

series443.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt l)
89.0ms	(* (/ 1 V) (/ A (cbrt l)))
77.0ms	(/ (* c0 (sqrt (* (/ 1 V) (/ A (cbrt l))))) (sqrt (* (cbrt l) (cbrt l))))
101.0ms	(sqrt (* (/ 1 V) (/ A (cbrt l))))

simplify66.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	614	932
1	2750	833
2	5002	798

prune347.0ms

Filtered

131 candidates to 98 candidates (74.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	124	7	131
Fresh	2	12	14
Picked	1	0	1
Done	0	1	1
Total	127	20	147

Merged error: 1.7b

Counts

147 → 20

regimes724.0ms

Accuracy

41.6% (6.2b remaining)

Error of 8.6b against oracle of 2.3b and baseline of 13.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	58
1	57	58

end0.0ms

sample884.0ms

Algorithm

intervals

Results

247.0ms	8844×	body	80	valid
221.0ms	8735×	body	80	nan