Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

349×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (58.0ms)

Iter	Nodes	Cost
0	27	6
1	63	6
2	154	5
3	323	5
4	426	5
5	528	5
6	604	5
7	832	5
8	1464	4
9	2035	4
10	2064	4
11	2064	4

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

5.0ms	(- (* x 3.0) 4.0)
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
4.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series127.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- (* x 3.0) 4.0)
32.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
48.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify139.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	206	296
1	706	240
2	4518	237
3	5001	237

prune121.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.1b	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

4.0ms	(- 3.0 (* 12.0 x))
1.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 3.0 (* 12.0 x))
26.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	120	170
1	350	149
2	1768	148
3	5001	131

prune79.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Merged error: 0b

Counts

41 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(fma x (- (* 9.0 x) 12.0) 3.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--` `fma-udef`

Counts

2 → 28

Calls

2 calls:

5.0ms	(- (* 9.0 x) 12.0)
1.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

series72.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* 9.0 x) 12.0)
33.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

simplify100.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	140	157
1	462	122
2	2558	119
3	5002	115

prune55.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 9.0 x (- 12.0))
0.1b	(fma x (fma 9.0 x (- 12.0)) 3.0)

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 9.0 x (- 12.0))
1.0ms	(fma x (fma 9.0 x (- 12.0)) 3.0)

series82.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma 9.0 x (- 12.0))
40.0ms	(fma x (fma 9.0 x (- 12.0)) 3.0)

simplify103.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	52	109
1	132	91
2	512	91
3	2523	91
4	5002	91

prune57.0ms

Filtered

26 candidates to 21 candidates (80.8%)

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: 0b

Counts

29 → 3

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample471.0ms

Algorithm

intervals

Results

335.0ms

10763×

body

valid