Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

330×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (53.0ms)

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: 0.2b

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)

series125.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* x 3.0) 4.0)
40.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
43.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify135.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (33.0ms)

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

prune127.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Merged error: 0b

Counts

58 → 6

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:

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

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- 3.0 (* 12.0 x))
32.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (58.0ms)

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

prune85.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0b

Counts

42 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.0b	(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
0.2b	(* (pow x 2) 9.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log` `associate-l`
6×	`prod-diff`
5×	`associate-+r+` `add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-r` `prod-exp` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `sum-log` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `fma-def` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 70

Calls

3 calls:

4.0ms	(- 3.0 (* 12.0 x))
7.0ms	(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
6.0ms	(* (pow x 2) 9.0)

series98.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- 3.0 (* 12.0 x))
26.0ms	(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
34.0ms	(* (pow x 2) 9.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	278	352
1	935	317
2	5001	312

prune150.0ms

Filtered

79 candidates to 55 candidates (69.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize6.0ms

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)

rewrite7.0ms

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)

series76.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* 9.0 x) 12.0)
34.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

simplify97.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (86.0ms)

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

prune53.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	34	4	38

Merged error: 0b

Counts

38 → 4

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample435.0ms

Algorithm

intervals

Results

317.0ms

10667×

body

valid