Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	274×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	45	3
2	73	3
3	86	3
4	87	3
5	87	3

prune4.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma d1 (+ 10.0 d2) (* d1 20.0))

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 d1 (+ 10.0 d2) (* d1 20.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma d1 (+ 10.0 d2) (* d1 20.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	34	56
1	70	49
2	257	49
3	1567	49
4	5003	49

prune26.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	2	14

Merged error: 0.0b

Counts

14 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 30.0 d1 (* d1 d2))

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 30.0 d1 (* d1 d2))

series40.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(fma 30.0 d1 (* d1 d2))

simplify98.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	43
1	54	38
2	207	38
3	766	38
4	3820	38
5	5001	38

prune19.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 30.0 d1 (* d1 d2))
0.1b	(sqrt (fma 30.0 d1 (* d1 d2)))
0.1b	(sqrt (fma 30.0 d1 (* d1 d2)))
0.3b	(* (sqrt (fma 30.0 d1 (* d1 d2))) (sqrt (fma 30.0 d1 (* d1 d2))))

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 30.0 d1 (* d1 d2))
1.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
1.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
6.0ms	(* (sqrt (fma 30.0 d1 (* d1 d2))) (sqrt (fma 30.0 d1 (* d1 d2))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma 30.0 d1 (* d1 d2))
48.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
45.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
41.0ms	(* (sqrt (fma 30.0 d1 (* d1 d2))) (sqrt (fma 30.0 d1 (* d1 d2))))

simplify140.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (132.0ms)

Iter	Nodes	Cost
0	162	462
1	580	404
2	3481	384
3	5001	373

prune142.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (fma 30.0 d1 (* d1 d2)))
0.1b	(sqrt (fma 30.0 d1 (* d1 d2)))
0.3b	(* (sqrt (fma 30.0 d1 (* d1 d2))) (* (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))) (sqrt (sqrt (fma 30.0 d1 (* d1 d2))))))
0.3b	(* (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))) (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

85×	`sqrt-pow1`
77×	`sqrt-prod`
67×	`pow1`
56×	`add-sqr-sqrt`
45×	`pow1/2`
39×	`pow-prod-up`
20×	`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` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 155

Calls

4 calls:

2.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
2.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
14.0ms	(* (sqrt (fma 30.0 d1 (* d1 d2))) (* (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))) (sqrt (sqrt (fma 30.0 d1 (* d1 d2))))))
9.0ms	(* (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))) (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
47.0ms	(sqrt (fma 30.0 d1 (* d1 d2)))
37.0ms	(* (sqrt (fma 30.0 d1 (* d1 d2))) (* (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))) (sqrt (sqrt (fma 30.0 d1 (* d1 d2))))))
49.0ms	(* (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))) (sqrt (sqrt (fma 30.0 d1 (* d1 d2)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	301	879
1	1041	726
2	5001	693

prune245.0ms

Filtered

167 candidates to 78 candidates (46.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	167	2	169

Merged error: 0b

Counts

169 → 2

regimes23.0ms

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	6	2
1	6	2

end0.0ms

sample410.0ms

Algorithm

intervals

Results

253.0ms	9003×	body	80	valid
7.0ms	56×	body	1280	valid
4.0ms	40×	body	640	valid
2.0ms	24×	body	320	valid
1.0ms	11×	body	160	valid