Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

335×

body

valid

simplify125.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 1 expressions with local error:

2.3b	(fma (- y x) (/ 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 x) (/ z t) x)

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ z t) x)

rewrite5.0ms

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

series332.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (fma (- y x) (/ z t) x))
42.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	117	320
1	277	290
2	1031	260
3	5001	255

prune173.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 2.3b

localize15.0ms

Local error

Found 4 expressions with local error:

2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ 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 x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series158.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)
42.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1248	212
4	5003	212

prune170.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 2.3b

localize16.0ms

Local error

Found 4 expressions with local error:

2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ z t) x)
2.3b	(fma (- y x) (/ 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 x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series158.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)
40.0ms	(fma (- y x) (/ z t) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1248	212
4	5003	212

prune184.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 2.3b

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample546.0ms

Algorithm

intervals

Results

288.0ms

10672×

body

valid