Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

276×

body

valid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune8.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

3.0b	(fma (/ y (- a t)) (- z t) x)

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

series196.0ms

Counts

1 → 3

Calls

1 calls:

196.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	36	71
1	75	62
2	240	60
3	1018	60
4	5001	60

prune47.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	6	15

Merged error: 0.0b

Counts

15 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y (- a t)) (- z t) x))
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)

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

series1.2s

Counts

4 → 12

Calls

4 calls:

651.0ms	(cbrt (fma (/ y (- a t)) (- z t) x))
182.0ms	(fma (/ y (- a t)) (- z t) x)
183.0ms	(fma (/ y (- a t)) (- z t) x)
193.0ms	(fma (/ y (- a t)) (- z t) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	156	357
1	421	319
2	1835	309
3	5001	305

prune218.0ms

Filtered

55 candidates to 51 candidates (92.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)

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

series753.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(fma (/ y (- a t)) (- z t) x)
191.0ms	(fma (/ y (- a t)) (- z t) x)
186.0ms	(fma (/ y (- a t)) (- z t) x)
187.0ms	(fma (/ y (- a t)) (- z t) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	36	284
1	75	248
2	240	240
3	1018	240
4	5001	240

prune225.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	52	8	60

Merged error: 0.0b

Counts

60 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)
3.0b	(fma (/ y (- a t)) (- z t) x)

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

series753.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(fma (/ y (- a t)) (- z t) x)
186.0ms	(fma (/ y (- a t)) (- z t) x)
190.0ms	(fma (/ y (- a t)) (- z t) x)
183.0ms	(fma (/ y (- a t)) (- z t) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	36	284
1	75	248
2	240	240
3	1018	240
4	5001	240

prune224.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

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

Merged error: 0.0b

Counts

60 → 8

regimes289.0ms

Accuracy

74.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	17
1	23	17

end0.0ms

sample538.0ms

Algorithm

intervals

Results

278.0ms	8729×	body	80	valid
0.0ms	1×	body	640	valid