Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	274×	body	80	nan
9.0ms	260×	body	80	valid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	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: 14.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.2b	(* x (log (/ x y)))
13.8b	(log (/ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`log-prod` `div-inv`
3×	`log-div` `clear-num`
2×	`distribute-rgt-in` `distribute-lft-in` `fma-neg` `log-rec` `associate--l+` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `distribute-rgt-neg-out` `flip--`

Counts

3 → 17

Calls

3 calls:

4.0ms	(- (* x (log (/ x y))) z)
3.0ms	(* x (log (/ x y)))
2.0ms	(log (/ x y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- (* x (log (/ x y))) z)
47.0ms	(* x (log (/ x y)))
34.0ms	(log (/ x y))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	140	116
1	329	104
2	1069	98
3	5001	97

prune56.0ms

Filtered

26 candidates to 16 candidates (61.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	5	27

Merged error: 0.1b

Counts

27 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (log (/ x y)) x (- z))
13.8b	(log (/ x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-div`
2×	`clear-num`
1×	`log-prod` `frac-2neg` `log-rec` `fma-udef` `div-inv`

Counts

2 → 6

Calls

2 calls:

1.0ms	(fma (log (/ x y)) x (- z))
2.0ms	(log (/ x y))

series99.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(fma (log (/ x y)) x (- z))
33.0ms	(log (/ x y))

simplify94.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 4 (42.0ms)

Iter	Nodes	Cost
0	81	50
1	142	46
2	301	41
3	841	40
4	4259	34
5	5001	34

prune36.0ms

Filtered

12 candidates to 7 candidates (58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.1b

Counts

17 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- (log x) (log y)) x (- z))
0.3b	(- (log x) (log y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 6

Calls

2 calls:

1.0ms	(fma (- (log x) (log y)) x (- z))
3.0ms	(- (log x) (log y))

series159.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(fma (- (log x) (log y)) x (- z))
63.0ms	(- (log x) (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	107	67
1	212	64
2	536	61
3	1594	60
4	5001	56

prune29.0ms

Filtered

12 candidates to 5 candidates (41.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	10	7	17

Merged error: 0.1b

Counts

17 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log x) (log x))
0.3b	(+ (log x) (log y))
0.3b	(pow (log x) 3)
0.4b	(pow (log y) 3)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow-to-exp` `unpow3` `sqr-pow`
1×	`+-commutative` `pow2` `flip3-+` `sum-log` `*-commutative` `flip-+`

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (log x) (log x))
3.0ms	(+ (log x) (log y))
1.0ms	(pow (log x) 3)
2.0ms	(pow (log y) 3)

series555.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (log x) (log x))
66.0ms	(+ (log x) (log y))
170.0ms	(pow (log x) 3)
170.0ms	(pow (log y) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	132	92
1	360	82
2	1483	76
3	5001	73

prune60.0ms

Filtered

24 candidates to 12 candidates (50.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	25	6	31

Merged error: 0.1b

Counts

31 → 6

regimes99.0ms

Accuracy

98.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 15.5b

bsearch48.0ms

Steps

Iters	Range		Point
9	-3.5092177994486754e-304	1.2144307814005946e-307	-2.50299343895823e-310

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	12

end0.0ms

sample869.0ms

Algorithm

intervals

Results

285.0ms	8036×	body	80	valid
238.0ms	8180×	body	80	nan

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4

Iter	Nodes	Cost
0	14	4
1	18	4
2	25	4
3	45	4
4	76	4
5	102	4
6	122	4
7	152	4
8	246	4
9	353	4
10	559	4
11	562	4
12	563	4
13	563	4