Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

463×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	6
1	62	4
2	121	4
3	158	4
4	164	4
5	164	4

prune8.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma b a (fma x y (* z t)))
0.0b	(fma i c (fma b a (fma x y (* z t))))

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 b a (fma x y (* z t)))
1.0ms	(fma i c (fma b a (fma x y (* z t))))

series282.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma b a (fma x y (* z t)))
219.0ms	(fma i c (fma b a (fma x y (* z t))))

simplify82.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	51	122
1	107	106
2	490	106
3	3707	106
4	5001	106

prune90.0ms

Filtered

26 candidates to 24 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0.0b

Counts

27 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a b (* x y))
0.0b	(fma t z (fma a b (* 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 a b (* x y))
1.0ms	(fma t z (fma a b (* x y)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(fma a b (* x y))
61.0ms	(fma t z (fma a b (* x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	96
1	123	84
2	571	84
3	3406	84
4	5001	84

prune68.0ms

Filtered

26 candidates to 22 candidates (84.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0.0b

Counts

29 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i c (* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t))))))
0.2b	(* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t)))))
0.3b	(sqrt (fma b a (fma x y (* z t))))
0.3b	(sqrt (fma b a (fma x y (* z t))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma i c (* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t))))))
6.0ms	(* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t)))))
1.0ms	(sqrt (fma b a (fma x y (* z t))))
2.0ms	(sqrt (fma b a (fma x y (* z t))))

series1.1s

Counts

4 → 12

Calls

4 calls:

222.0ms	(fma i c (* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t))))))
64.0ms	(* (sqrt (fma b a (fma x y (* z t)))) (sqrt (fma b a (fma x y (* z t)))))
395.0ms	(sqrt (fma b a (fma x y (* z t))))
399.0ms	(sqrt (fma b a (fma x y (* z t))))

simplify41.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	215	723
1	889	623
2	5001	595

prune249.0ms

Filtered

103 candidates to 63 candidates (61.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	4	106

Merged error: 0.0b

Counts

106 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (fma b a (fma x y (* z t))))
0.3b	(sqrt (fma b a (fma x y (* z t))))
0.3b	(sqrt (fma b a (fma x y (* z t))))
0.5b	(pow (cbrt (sqrt (fma b a (fma x y (* z t))))) 4)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
6×	`cbrt-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `sqrt-pow1` `pow1/2`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

1.0ms	(sqrt (fma b a (fma x y (* z t))))
1.0ms	(sqrt (fma b a (fma x y (* z t))))
1.0ms	(sqrt (fma b a (fma x y (* z t))))
3.0ms	(pow (cbrt (sqrt (fma b a (fma x y (* z t))))) 4)

series1.4s

Counts

4 → 12

Calls

4 calls:

400.0ms	(sqrt (fma b a (fma x y (* z t))))
416.0ms	(sqrt (fma b a (fma x y (* z t))))
384.0ms	(sqrt (fma b a (fma x y (* z t))))
189.0ms	(pow (cbrt (sqrt (fma b a (fma x y (* z t))))) 4)

simplify152.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	275	631
1	950	586
2	4951	567
3	5001	567

prune336.0ms

Filtered

83 candidates to 62 candidates (74.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	5	87

Merged error: 0b

Counts

87 → 5

regimes355.0ms

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	13	4
1	13	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

562.0ms

13717×

body

valid