Details

sample27.0ms

Algorithm

intervals

Results

9.0ms

356×

body

valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

1.5b	(fma (/ y 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:

0.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune36.0ms

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) (- z t) x))
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) 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) (- z t) x))
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)

series286.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (fma (/ y a) (- z t) x))
38.0ms	(fma (/ y a) (- z t) x)
41.0ms	(fma (/ y a) (- z t) x)
38.0ms	(fma (/ y a) (- z t) x)

simplify33.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	117	320
1	285	290
2	1048	260
3	5001	255

prune166.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) 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) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)

series161.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	271	212
3	1307	212
4	5001	212

prune198.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) x)
1.5b	(fma (/ y a) (- z t) 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) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)
0.0ms	(fma (/ y a) (- z t) x)

series161.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	276
1	94	248
2	271	212
3	1307	212
4	5001	212

prune187.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes356.0ms

Accuracy

24.8% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.2b

bsearch77.0ms

Steps

Iters	Range		Point
5	1709.492351820942	6481.724483440566	3146.272963083658
9	-1.9019800992492926e-286	-1.5630133740881836e-294	-1.8744657462895403e-286

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample750.0ms

Algorithm

intervals

Results

297.0ms

10661×

body

valid