Details

sample23.0ms

Algorithm

intervals

Results

11.0ms	326×	body	80	valid
0.0ms	1×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	50	4
2	148	4
3	318	4
4	473	4
5	485	4
6	485	4

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(fma d1 d2 (* (+ d3 5.0) d1))
0.0b	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`associate-*l/` `fma-udef`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

6.0ms	(* (+ d3 5.0) d1)
1.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
1.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(* (+ d3 5.0) d1)
35.0ms	(fma d1 d2 (* (+ d3 5.0) d1))
44.0ms	(fma 32.0 d1 (fma d1 d2 (* (+ d3 5.0) d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	157	218
1	553	192
2	2658	192
3	5001	192

prune117.0ms

Filtered

52 candidates to 42 candidates (80.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Merged error: 0.0b

Counts

53 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.0b	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

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 d1 d3 (* d1 d2))
1.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma d1 d3 (* d1 d2))
43.0ms	(fma 37.0 d1 (fma d1 d3 (* d1 d2)))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune55.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1))
0.0b	(fma 32.0 d1 (fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1)))
0.1b	(fma 5.0 d1 (* d1 d3))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

1.0ms	(fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1))
1.0ms	(fma 32.0 d1 (fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1)))
1.0ms	(fma 5.0 d1 (* d1 d3))

series150.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1))
67.0ms	(fma 32.0 d1 (fma d1 d2 (pow (fma 5.0 d1 (* d1 d3)) 1)))
41.0ms	(fma 5.0 d1 (* d1 d3))

simplify37.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	75	195
1	210	168
2	1062	167
3	5001	166

prune97.0ms

Filtered

39 candidates to 31 candidates (79.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 37.0 d1 (* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2)))))
0.3b	(* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2))))
3.6b	(sqrt (fma d1 d3 (* d1 d2)))
3.6b	(sqrt (fma d1 d3 (* d1 d2)))

rewrite16.0ms

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 37.0 d1 (* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2)))))
6.0ms	(* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2))))
2.0ms	(sqrt (fma d1 d3 (* d1 d2)))
2.0ms	(sqrt (fma d1 d3 (* d1 d2)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma 37.0 d1 (* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2)))))
34.0ms	(* (sqrt (fma d1 d3 (* d1 d2))) (sqrt (fma d1 d3 (* d1 d2))))
58.0ms	(sqrt (fma d1 d3 (* d1 d2)))
56.0ms	(sqrt (fma d1 d3 (* d1 d2)))

simplify164.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	176	564
1	715	473
2	4073	443
3	5001	443

prune164.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes53.0ms

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

sample493.0ms

Algorithm

intervals

Results

274.0ms	10057×	body	80	valid
2.0ms	24×	body	640	valid
1.0ms	18×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	8×	body	160	valid