Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 2.6b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.5b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x y) (- z t) t)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma (/ x y) (- z t) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune33.0ms

Filtered

13 candidates to 9 candidates (69.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 2.6b

Counts

15 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ x y) (- z t) t))
2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ x y) (- z t) t))
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series265.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt (fma (/ x y) (- z t) t))
27.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	117	320
1	282	290
2	1045	260
3	5001	255

prune162.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	52	8	60

Merged error: 2.5b

Counts

60 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series117.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
33.0ms	(fma (/ x y) (- z t) t)
29.0ms	(fma (/ x y) (- z t) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	91	248
2	268	212
3	1261	212
4	5002	212

prune163.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	52	8	60

Merged error: 2.5b

Counts

60 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)
2.5b	(fma (/ x y) (- z t) t)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)
1.0ms	(fma (/ x y) (- z t) t)

series114.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	91	248
2	268	212
3	1261	212
4	5002	212

prune161.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	51	9	60

Merged error: 2.5b

Counts

60 → 9

regimes195.0ms

Accuracy

0% (0.1b remaining)

Error of 2.2b against oracle of 2.1b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample547.0ms

Algorithm

intervals

Results

282.0ms

10705×

body

valid

Details

sample20.0ms

simplify105.0ms

prune6.0ms

localize6.0ms

rewrite1.0ms

series31.0ms

simplify42.0ms

prune33.0ms

localize10.0ms

rewrite4.0ms

series265.0ms

simplify37.0ms

prune162.0ms

localize13.0ms

rewrite4.0ms

series117.0ms

simplify45.0ms

prune163.0ms

localize15.0ms

rewrite4.0ms

series114.0ms

simplify45.0ms

prune161.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample547.0ms

Profiling