Details

sample20.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	3
1	34	3
2	53	3
3	63	3
4	64	3
5	64	3

prune5.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (+ y z) (* z 5.0))

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 x (+ y z) (* z 5.0))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma x (+ y z) (* z 5.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	36	59
1	74	52
2	288	52
3	1708	52
4	5001	52

prune37.0ms

Filtered

13 candidates to 11 candidates (84.6%)

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (fma 5.0 z (* x y)))
0.0b	(fma 5.0 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 5.0 z (* x y)))
1.0ms	(fma 5.0 z (* x y))

series81.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(fma x z (fma 5.0 z (* x y)))
45.0ms	(fma 5.0 z (* x y))

simplify117.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	40	100
1	122	88
2	579	88
3	3524	88
4	5001	88

prune68.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x z (fma 5.0 z (* x y)))) (cbrt (fma x z (fma 5.0 z (* x y)))))
0.6b	(cbrt (fma x z (fma 5.0 z (* x y))))
0.6b	(cbrt (fma x z (fma 5.0 z (* x y))))
0.6b	(cbrt (fma x z (fma 5.0 z (* x y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt (fma x z (fma 5.0 z (* x y)))) (cbrt (fma x z (fma 5.0 z (* x y)))))
1.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (fma x z (fma 5.0 z (* x y)))) (cbrt (fma x z (fma 5.0 z (* x y)))))
155.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
149.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
147.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))

simplify155.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	329	1104
1	1068	991
2	4947	809
3	5001	809

prune293.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x z (fma 5.0 z (* x y))))
0.6b	(cbrt (fma x z (fma 5.0 z (* x y))))
0.6b	(cbrt (fma x z (fma 5.0 z (* x y))))
0.6b	(cbrt (cbrt (fma x z (fma 5.0 z (* x y)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
1.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
2.0ms	(cbrt (cbrt (fma x z (fma 5.0 z (* x y)))))

series816.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
148.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
376.0ms	(cbrt (fma x z (fma 5.0 z (* x y))))
145.0ms	(cbrt (cbrt (fma x z (fma 5.0 z (* x y)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	261	726
1	654	672
2	2078	579
3	5001	512

prune282.0ms

Filtered

67 candidates to 63 candidates (94.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

regimes69.0ms

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	8	3
1	8	3

end0.0ms

sample452.0ms

Algorithm

intervals

Results

227.0ms	9712×	body	80	valid
12.0ms	118×	body	1280	valid
9.0ms	115×	body	640	valid
3.0ms	55×	body	320	valid
1.0ms	31×	body	160	valid