Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

333×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 2.2b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.1b	(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)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

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

prune30.0ms

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: 2.1b

Counts

15 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ x y) (- z t) t)) (cbrt (fma (/ x y) (- z t) t)))
2.1b	(fma (/ x y) (- z t) t)
2.1b	(fma (/ x y) (- z t) t)
2.1b	(fma (/ x y) (- z t) t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* (cbrt (fma (/ x y) (- z t) t)) (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)

series377.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (fma (/ x y) (- z t) t)) (cbrt (fma (/ x y) (- z t) t)))
26.0ms	(fma (/ x y) (- z t) t)
26.0ms	(fma (/ x y) (- z t) t)
30.0ms	(fma (/ x y) (- z t) t)

simplify77.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	183	677
1	649	618
2	2890	532
3	5002	521

prune196.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	80	9	89

Merged error: 2.1b

Counts

89 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

2.1b	(fma (/ x y) (- z t) t)
2.1b	(fma (/ x y) (- z t) t)
2.1b	(fma (/ x y) (- z t) t)
2.1b	(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)

series110.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (/ x y) (- z t) t)
26.0ms	(fma (/ x y) (- z t) t)
26.0ms	(fma (/ x y) (- z t) t)
29.0ms	(fma (/ x y) (- z t) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

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

prune174.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	52	9	61

Merged error: 2.1b

Counts

61 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b	(fma (/ x y) (- z t) t)
2.1b	(fma (/ x y) (- z t) t)
2.1b	(fma (/ x y) (- z t) t)
2.1b	(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)

series112.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)
30.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

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

prune148.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	52	9	61

Merged error: 2.1b

Counts

61 → 9

regimes183.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample538.0ms

Algorithm

intervals

Results

278.0ms

10630×

body

valid