Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

323×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (60.0ms)

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

localize11.0ms

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)

series126.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* x 3.0) 4.0)
38.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
46.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify138.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (32.0ms)

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

prune131.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 0.0b

Counts

58 → 7

localize7.0ms

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)))

rewrite8.0ms

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

series63.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (53.0ms)

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

prune98.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

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

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 x (- (* 9.0 x) 12.0) 3.0)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma x (- (* 9.0 x) 12.0) 3.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	42	66
1	95	53
2	390	53
3	2029	53
4	5002	53

prune35.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	13	6	19

Merged error: 0.0b

Counts

19 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
6.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) (* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0))
5.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0)

series252.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
39.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
41.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) (* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0))
141.0ms	(* (sqrt (fma x (- (* x 3.0) 4.0) 1.0)) 3.0)

simplify138.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	265	604
1	970	502
2	4983	497
3	5001	497

prune195.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	80	5	85

Merged error: 0.0b

Counts

85 → 5

regimes19.0ms

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	8	3
1	8	3

end0.0ms

sample401.0ms

Algorithm

intervals

Results

279.0ms

10579×

body

valid