Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

347×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	4
1	35	4
2	51	4
3	71	4
4	85	4
5	89	4
6	89	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 7.5b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b	(- (* x y) (* z t))
7.1b	(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

3.0ms	(- (* x y) (* z t))
5.0ms	(/ (- (* x y) (* z t)) a)

series86.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* x y) (* z t))
49.0ms	(/ (- (* x y) (* z t)) a)

simplify83.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	218	336
1	769	309
2	2931	308
3	5001	307

prune205.0ms

Filtered

54 candidates to 43 candidates (79.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	43	11	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	11	55

Merged error: 7.1b

Counts

55 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x y) a) (/ (* t z) a))
5.6b	(/ (* x y) a)
5.8b	(/ (* t z) a)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
49×	`prod-diff`
39×	`add-sqr-sqrt` `*-un-lft-identity`
37×	`add-cube-cbrt`
19×	`div-inv`
13×	`add-exp-log` `add-cbrt-cube`
7×	`fma-neg`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

3 → 121

Calls

3 calls:

9.0ms	(- (/ (* x y) a) (/ (* t z) a))
4.0ms	(/ (* x y) a)
4.0ms	(/ (* t z) a)

series103.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (/ (* x y) a) (/ (* t z) a))
18.0ms	(/ (* x y) a)
19.0ms	(/ (* t z) a)

simplify66.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	472	1466
1	1969	1032
2	5001	1024

prune206.0ms

Filtered

130 candidates to 71 candidates (54.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	123	7	130
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	132	9	141

Merged error: 0.0b

Counts

141 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (/ y a)) (/ (* t z) a))
3.7b	(* x (/ y a))
5.8b	(/ (* t z) a)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`times-frac`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`prod-diff`
5×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `expm1-log1p-u` `associate-r/` `div-exp` `associate-l` `prod-exp` `associate-/r` `cbrt-unprod` `log1p-expm1-u` `div-inv`
2×	`unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `frac-sub` `flip--` `associate-/l` `sub-div`

Counts

3 → 81

Calls

3 calls:

6.0ms	(- (* x (/ y a)) (/ (* t z) a))
6.0ms	(* x (/ y a))
5.0ms	(/ (* t z) a)

series101.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (* x (/ y a)) (/ (* t z) a))
21.0ms	(* x (/ y a))
19.0ms	(/ (* t z) a)

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	439	496
1	2051	415
2	5002	415

prune166.0ms

Filtered

90 candidates to 62 candidates (68.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (/ a y)) (/ (* t z) a))
3.8b	(/ x (/ a y))
5.8b	(/ (* t z) a)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

741×	`times-frac`
424×	`add-sqr-sqrt`
417×	`*-un-lft-identity`
415×	`add-cube-cbrt`
308×	`prod-diff`
82×	`div-inv`
44×	`fma-neg`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r/`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 466

Calls

3 calls:

29.0ms	(- (/ x (/ a y)) (/ (* t z) a))
8.0ms	(/ x (/ a y))
4.0ms	(/ (* t z) a)

series90.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (/ x (/ a y)) (/ (* t z) a))
19.0ms	(/ x (/ a y))
19.0ms	(/ (* t z) a)

simplify184.0ms

Algorithm

egg-herbie

Counts

475 → 475

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1250	9014
1	4024	6560
2	5001	6560

prune757.0ms

Filtered

475 candidates to 251 candidates (52.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	473	2	475
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	477	8	485

Merged error: 0.0b

Counts

485 → 8

regimes400.0ms

Accuracy

87.1% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	16
1	32	16

end0.0ms

sample709.0ms

Algorithm

intervals

Results

381.0ms

11096×

body

valid