Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	316×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid

simplify12.0ms

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify55.0ms

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

prune36.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 0.0b

Counts

14 → 4

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:

39.0ms	(fma x z (fma 5.0 z (* x y)))
42.0ms	(fma 5.0 z (* x y))

simplify106.0ms

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

prune71.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma 5.0 z (* x y)))
0.0b	(fma 5.0 z (* x y))
0.0b	(fma 5.0 z (* x y))
0.2b	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

2.0ms	(sqrt (fma 5.0 z (* x y)))
1.0ms	(fma 5.0 z (* x y))
1.0ms	(fma 5.0 z (* x y))
7.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (fma 5.0 z (* x y)))
39.0ms	(fma 5.0 z (* x y))
41.0ms	(fma 5.0 z (* x y))
40.0ms	(* (sqrt (fma 5.0 z (* x y))) (sqrt (fma 5.0 z (* x y))))

simplify142.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	143	411
1	536	361
2	3215	345
3	5002	332

prune211.0ms

Filtered

98 candidates to 58 candidates (59.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma 5.0 z (* x y))))
0.1b	(sqrt (sqrt (fma 5.0 z (* x y))))
0.2b	(* (sqrt (fma 5.0 z (* x y))) (* (sqrt (sqrt (fma 5.0 z (* x y)))) (sqrt (sqrt (fma 5.0 z (* x y))))))
0.3b	(* (sqrt (sqrt (fma 5.0 z (* x y)))) (sqrt (sqrt (fma 5.0 z (* x y)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

91×	`sqrt-pow1` `sqrt-prod`
69×	`pow1`
60×	`add-sqr-sqrt`
47×	`pow1/2`
39×	`pow-prod-up`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`swap-sqr`
15×	`associate-l`
12×	`pow-prod-down`
11×	`add-exp-log` `pow-sqr` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r`
4×	`expm1-log1p-u` `rem-sqrt-square` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 167

Calls

4 calls:

2.0ms	(sqrt (sqrt (fma 5.0 z (* x y))))
2.0ms	(sqrt (sqrt (fma 5.0 z (* x y))))
16.0ms	(* (sqrt (fma 5.0 z (* x y))) (* (sqrt (sqrt (fma 5.0 z (* x y)))) (sqrt (sqrt (fma 5.0 z (* x y))))))
10.0ms	(* (sqrt (sqrt (fma 5.0 z (* x y)))) (sqrt (sqrt (fma 5.0 z (* x y)))))

series534.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(sqrt (sqrt (fma 5.0 z (* x y))))
204.0ms	(sqrt (sqrt (fma 5.0 z (* x y))))
43.0ms	(* (sqrt (fma 5.0 z (* x y))) (* (sqrt (sqrt (fma 5.0 z (* x y)))) (sqrt (sqrt (fma 5.0 z (* x y))))))
80.0ms	(* (sqrt (sqrt (fma 5.0 z (* x y)))) (sqrt (sqrt (fma 5.0 z (* x y)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	387	998
1	1329	860
2	5002	840

prune339.0ms

Filtered

179 candidates to 84 candidates (46.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	179	4	183

Merged error: 0.0b

Counts

183 → 4

regimes62.0ms

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

sample465.0ms

Algorithm

intervals

Results

231.0ms	9874×	body	80	valid
12.0ms	120×	body	1280	valid
9.0ms	116×	body	640	valid
5.0ms	76×	body	320	valid
1.0ms	26×	body	160	valid