Details

sample61.0ms

Algorithm

intervals

Results

22.0ms	683×	body	80	nan
12.0ms	257×	body	80	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	134	6
3	282	6
4	541	5
5	752	5
6	968	5
7	1199	5
8	1327	5
9	1327	5

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (log y) x (- (log t) (+ y z)))

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 (log y) x (- (log t) (+ y z)))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(fma (log y) x (- (log t) (+ y z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	73	93
1	171	80
2	482	78
3	2660	77
4	5002	74

prune34.0ms

Filtered

13 candidates to 12 candidates (7.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 0.1b

Counts

14 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(* (cbrt (fma (log y) x (- (log t) (+ y z)))) (cbrt (fma (log y) x (- (log t) (+ y z)))))
329.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
321.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
321.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	402	1439
1	1597	1278
2	5001	1144

prune264.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

332.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
326.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
324.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
322.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	212	868
1	667	776
2	3104	748
3	5001	732

prune290.0ms

Filtered

64 candidates to 60 candidates (6.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	62	9	71

Merged error: 0.0b

Counts

71 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))
0.6b	(cbrt (fma (log y) x (- (log t) (+ y z))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
1.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

series1.3s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
328.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
331.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))
329.0ms	(cbrt (fma (log y) x (- (log t) (+ y z))))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	212	868
1	667	776
2	3104	748
3	5001	732

prune302.0ms

Filtered

64 candidates to 60 candidates (6.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	4	5
Picked	1	0	1
Done	1	2	3
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

regimes223.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.9s

Algorithm

intervals

Results

792.0ms	23936×	body	80	nan
326.0ms	8027×	body	80	valid
0.0ms	1×	body	1280	valid