Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

331×

body

valid

simplify122.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.7b	(fma (- y x) (/ 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 x) (/ z t) x)

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune35.0ms

Filtered

13 candidates to 10 candidates (76.9%)

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: 0.7b

Counts

14 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
0.7b	(fma (- y x) (/ z t) x)
0.7b	(fma (- y x) (/ z t) x)
0.7b	(fma (- y x) (/ 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 x) (/ z t) x))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series323.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (fma (- y x) (/ z t) x))
36.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	117	320
1	277	290
2	1031	260
3	5001	255

prune151.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	6	59

Merged error: 0.7b

Counts

59 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(fma (- y x) (/ z t) x)
0.7b	(fma (- y x) (/ z t) x)
0.7b	(fma (- y x) (/ z t) x)
0.7b	(fma (- y x) (/ 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 x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series139.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (- y x) (/ z t) x)
37.0ms	(fma (- y x) (/ z t) x)
33.0ms	(fma (- y x) (/ z t) x)
35.0ms	(fma (- y x) (/ z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1248	212
4	5003	212

prune157.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	52	6	58

Merged error: 0.7b

Counts

58 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (- y x) (/ z t) x))
0.3b	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
0.7b	(fma (- y x) (/ z t) x)
0.7b	(fma (- y x) (/ z t) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (- y x) (/ z t) x))
6.0ms	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series221.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(sqrt (fma (- y x) (/ z t) x))
33.0ms	(* (sqrt (fma (- y x) (/ z t) x)) (sqrt (fma (- y x) (/ z t) x)))
50.0ms	(fma (- y x) (/ z t) x)
32.0ms	(fma (- y x) (/ z t) x)

simplify145.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	198	579
1	682	509
2	3586	459
3	5002	441

prune175.0ms

Filtered

98 candidates to 55 candidates (56.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	96	8	104

Merged error: 0.7b

Counts

104 → 8

regimes179.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b 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

sample554.0ms

Algorithm

intervals

Results

286.0ms

10550×

body

valid