Details

sample51.0ms

Algorithm

intervals

Results

30.0ms

327×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (25.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

3.6b	(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:

0.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify40.0ms

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

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y a) (- t z) x))
3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)

rewrite2.0ms

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))
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
1.0ms	(fma (/ y a) (- t z) x)

series314.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt (fma (/ y a) (- t z) x))
41.0ms	(fma (/ y a) (- t z) x)
46.0ms	(fma (/ y a) (- t z) x)
41.0ms	(fma (/ y a) (- t z) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1046	260
3	5002	255

prune175.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)

rewrite2.0ms

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:

0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)

series172.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ y a) (- t z) x)
46.0ms	(fma (/ y a) (- t z) x)
40.0ms	(fma (/ y a) (- t z) x)
45.0ms	(fma (/ y a) (- t z) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune178.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)
3.6b	(fma (/ y a) (- t z) x)

rewrite2.0ms

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:

0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)
0.0ms	(fma (/ y a) (- t z) x)

series173.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (/ y a) (- t z) x)
46.0ms	(fma (/ y a) (- t z) x)
40.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	272	212
3	1308	212
4	5001	212

prune184.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes380.0ms

Accuracy

89.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0ms

sample856.0ms

Algorithm

intervals

Results

543.0ms

10523×

body

valid