Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

394×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	14	4
1	30	3
2	86	3
3	290	3
4	803	3
5	1451	3
6	3457	3
7	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- t x) (- y 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 (- t x) (- y z) x)

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	49	63
1	114	55
2	346	55
3	1570	54
4	5003	54

prune36.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	3	14

Merged error: 0.0b

Counts

14 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
1.0ms	(cbrt (fma (- t x) (- y z) x))
1.0ms	(cbrt (fma (- t x) (- y z) x))
2.0ms	(cbrt (fma (- t x) (- y z) x))

series2.0s

Counts

4 → 12

Calls

4 calls:

932.0ms	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
350.0ms	(cbrt (fma (- t x) (- y z) x))
345.0ms	(cbrt (fma (- t x) (- y z) x))
348.0ms	(cbrt (fma (- t x) (- y z) x))

simplify170.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	222	811
1	828	733
2	4213	653
3	5001	653

prune257.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (- (fma t z (* x y))))
0.0b	(fma t z (* x y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(fma x z (- (fma t z (* x y))))
45.0ms	(fma t z (* x y))

simplify74.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	43	110
1	112	96
2	393	96
3	1847	96
4	5001	96

prune67.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma (- t x) (- y z) x)))
0.5b	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
0.5b	(cbrt (fma (- t x) (- y z) x))
0.5b	(cbrt (fma (- t x) (- y z) x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

2.0ms	(cbrt (sqrt (fma (- t x) (- y z) x)))
6.0ms	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
1.0ms	(cbrt (fma (- t x) (- y z) x))
2.0ms	(cbrt (fma (- t x) (- y z) x))

series2.0s

Counts

4 → 12

Calls

4 calls:

356.0ms	(cbrt (sqrt (fma (- t x) (- y z) x)))
925.0ms	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
344.0ms	(cbrt (fma (- t x) (- y z) x))
349.0ms	(cbrt (fma (- t x) (- y z) x))

simplify189.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	284	865
1	1001	786
2	4863	704
3	5001	704

prune326.0ms

Filtered

96 candidates to 73 candidates (76.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample635.0ms

Algorithm

intervals

Results

321.0ms

12140×

body

valid