Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

289×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	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:

3.9b	(fma (/ y (- z a)) (- 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 (- z a)) (- z t) x)

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	72
1	92	63
2	272	63
3	1084	63
4	5001	63

prune46.0ms

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 (- z a)) (- z t) x))
3.9b	(fma (/ y (- z a)) (- z t) x)
3.9b	(fma (/ y (- z a)) (- z t) x)
3.9b	(fma (/ y (- z a)) (- 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 (- z a)) (- z t) x))
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series486.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (fma (/ y (- z a)) (- z t) x))
78.0ms	(fma (/ y (- z a)) (- z t) x)
73.0ms	(fma (/ y (- z a)) (- z t) x)
78.0ms	(fma (/ y (- z a)) (- z t) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (59.0ms)

Iter	Nodes	Cost
0	82	333
1	161	295
2	453	293
3	1792	290
4	5003	287

prune186.0ms

Filtered

55 candidates to 50 candidates (90.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

3.9b	(fma (/ y (- z a)) (- z t) x)
3.9b	(fma (/ y (- z a)) (- z t) x)
3.9b	(fma (/ y (- z a)) (- z t) x)
3.9b	(fma (/ y (- z a)) (- 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 (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series310.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(fma (/ y (- z a)) (- z t) x)
74.0ms	(fma (/ y (- z a)) (- z t) x)
79.0ms	(fma (/ y (- z a)) (- z t) x)
78.0ms	(fma (/ y (- z a)) (- z t) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	288
1	92	252
2	272	252
3	1084	252
4	5001	252

prune223.0ms

Filtered

52 candidates to 48 candidates (92.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	52	7	59

Merged error: 0.0b

Counts

59 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.0b	(/ (* y (- z t)) (- z a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

7.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- z a))

series111.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z t))
73.0ms	(/ (* y (- z t)) (- z a))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune135.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	3	0	3
Picked	1	0	1
Done	2	1	3
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes121.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample779.0ms

Algorithm

intervals

Results

506.0ms	8712×	body	80	valid
0.0ms	1×	body	1280	valid