Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

344×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (22.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune10.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (/ y a) (- t z) 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) x)

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1307	53
4	5003	53

prune31.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.1b

Counts

15 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- t z) x))
1.5b	(fma (/ y a) (- t z) x)
1.5b	(fma (/ y a) (- t z) x)
1.5b	(fma (/ y a) (- t z) 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) x))
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series324.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (fma (/ y a) (- t z) x))
43.0ms	(fma (/ y a) (- t z) x)
47.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5001	255

prune121.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	54	6	60

Merged error: 0.1b

Counts

60 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ y a) (- t z) x)
1.5b	(fma (/ y a) (- t z) x)
1.5b	(fma (/ y a) (- t z) x)
1.5b	(fma (/ y a) (- t z) 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) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series181.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma (/ y a) (- t z) x)
46.0ms	(fma (/ y a) (- t z) x)
48.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1307	212
4	5003	212

prune141.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	51	7	58

Merged error: 0.1b

Counts

58 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.5b	(/ (* y (- z t)) a)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

228×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
170×	`times-frac`
163×	`add-cube-cbrt`
156×	`prod-diff`
70×	`associate-r`
42×	`associate-l`
17×	`difference-of-squares`
15×	`distribute-lft-out--` `unswap-sqr`
14×	`-commutative` `associate-/l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`associate-*r/` `div-inv`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `associate-/r*` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num`

Counts

3 → 282

Calls

3 calls:

21.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) a)

series154.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- x (/ (* y (- z t)) a))
40.0ms	(* y (- z t))
62.0ms	(/ (* y (- z t)) a)

simplify75.0ms

Algorithm

egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1321	5500
1	5002	4195

prune364.0ms

Filtered

291 candidates to 148 candidates (50.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	286	5	291
Fresh	3	0	3
Picked	1	0	1
Done	1	2	3
Total	291	7	298

Merged error: 0b

Counts

298 → 7

regimes316.0ms

Accuracy

77.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms

sample647.0ms

Algorithm

intervals

Results

317.0ms

10690×

body

valid