Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

325×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (20.0ms)

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

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

2.8b	(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)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y (- z t)) a))
0.0b	(* y (- z t))
6.9b	(/ (* y (- z t)) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 111

Calls

3 calls:

5.0ms	(- x (/ (* y (- z t)) a))
7.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) a)

series124.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- x (/ (* y (- z t)) a))
36.0ms	(* y (- z t))
44.0ms	(/ (* y (- z t)) a)

simplify67.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	505	1133
1	2195	751
2	5001	747

prune157.0ms

Filtered

120 candidates to 64 candidates (53.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (/ a (- z t))))
0.0b	(/ a (- z t))
7.2b	(/ y (/ a (- z t)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

465×	`times-frac`
382×	`add-sqr-sqrt`
375×	`*-un-lft-identity`
287×	`add-cube-cbrt`
204×	`prod-diff`
46×	`difference-of-squares`
44×	`distribute-lft-out--`
32×	`associate-/r/`
26×	`associate-/r*`
18×	`div-inv`
15×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log`

Counts

3 → 368

Calls

3 calls:

27.0ms	(- x (/ y (/ a (- z t))))
8.0ms	(/ a (- z t))
9.0ms	(/ y (/ a (- z t)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- x (/ y (/ a (- z t))))
27.0ms	(/ a (- z t))
55.0ms	(/ y (/ a (- z t)))

simplify107.0ms

Algorithm

egg-herbie

Counts

377 → 377

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1708	9303
1	5001	7250

prune589.0ms

Filtered

377 candidates to 200 candidates (53.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	375	2	377
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	377	6	383

Merged error: 0b

Counts

383 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (/ a (- z t)) y)))
0.0b	(/ a (- z t))
0.5b	(/ 1 (/ (/ a (- z t)) y))
7.1b	(/ (/ a (- z t)) y)

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

2358×	`times-frac`
1477×	`add-sqr-sqrt`
1460×	`*-un-lft-identity`
1188×	`add-cube-cbrt`
618×	`prod-diff`
140×	`difference-of-squares`
135×	`distribute-lft-out--`
92×	`associate-/r/`
75×	`associate-/r*`
63×	`div-inv`
45×	`flip3--` `flip--`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `frac-2neg` `fma-neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `associate-/l/` `inv-pow`

Counts

4 → 1085

Calls

4 calls:

98.0ms	(- x (/ 1 (/ (/ a (- z t)) y)))
5.0ms	(/ a (- z t))
21.0ms	(/ 1 (/ (/ a (- z t)) y))
9.0ms	(/ (/ a (- z t)) y)

series172.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- x (/ 1 (/ (/ a (- z t)) y)))
26.0ms	(/ a (- z t))
43.0ms	(/ 1 (/ (/ a (- z t)) y))
60.0ms	(/ (/ a (- z t)) y)

simplify305.0ms

Algorithm

egg-herbie

Counts

1097 → 1097

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5000	36617

prune3.3s

Filtered

1097 candidates to 859 candidates (78.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1097	0	1097
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	1097	6	1103

Merged error: 0b

Counts

1103 → 6

regimes342.0ms

Accuracy

84.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.4b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample674.0ms

Algorithm

intervals

Results

355.0ms

10626×

body

valid