Details

sample33.0ms

Algorithm

intervals

Results

20.0ms

345×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (23.0ms)

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

localize7.0ms

Local error

Found 1 expressions with local error:

2.4b	(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)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify41.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y a) (- t z) x)) (cbrt (fma (/ y a) (- t z) x)))
2.4b	(fma (/ y a) (- t z) x)
2.4b	(fma (/ y a) (- t z) x)
2.4b	(fma (/ y a) (- t z) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

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

series438.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(* (cbrt (fma (/ y a) (- t z) x)) (cbrt (fma (/ y a) (- t z) x)))
44.0ms	(fma (/ y a) (- t z) x)
42.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	183	677
1	652	618
2	2894	532
3	5001	521

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.4b	(fma (/ y a) (- t z) x)
2.4b	(fma (/ y a) (- t z) x)
2.4b	(fma (/ y a) (- t z) x)
2.4b	(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)

series170.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ y a) (- t z) x)
44.0ms	(fma (/ y a) (- t z) x)
41.0ms	(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

prune215.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.4b	(fma (/ y a) (- t z) x)
2.4b	(fma (/ y a) (- t z) x)
2.4b	(fma (/ y a) (- t z) x)
2.4b	(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)

series177.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma (/ y a) (- t z) x)
43.0ms	(fma (/ y a) (- t z) x)
47.0ms	(fma (/ y a) (- t z) x)
43.0ms	(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

prune181.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

80% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample863.0ms

Algorithm

intervals

Results

549.0ms

10615×

body

valid