Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify104.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
7×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`associate-+l+` `fma-def`
2×	`sub-neg` `flip3-+` `diff-log` `associate-r/` `prod-diff` `sum-log` `-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `flip3--` `distribute-lft-in` `fma-neg` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

8.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
11.0ms	(- (* (* x 3.0) x) (* x 4.0))
10.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
6.0ms	(* (* x 3.0) x)

series166.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
76.0ms	(- (* (* x 3.0) x) (* x 4.0))
33.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
27.0ms	(* (* x 3.0) x)

simplify67.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	346	559
1	1446	492
2	5001	452

prune182.0ms

Filtered

95 candidates to 68 candidates (71.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

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)))

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)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- 3.0 (* 12.0 x))
29.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify65.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (60.0ms)

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

prune76.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0b

Counts

40 → 3

localize5.0ms

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)

series76.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- (* 9.0 x) 12.0)
37.0ms	(fma x (- (* 9.0 x) 12.0) 3.0)

simplify92.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (88.0ms)

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

prune59.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

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

series183.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(+ (* (* x 3.0) (fma x 3.0 (- 4.0))) (* 3.0 1.0))
45.0ms	(fma x 3.0 (- 4.0))
96.0ms	(* (* x 3.0) (fma x 3.0 (- 4.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	230	339
1	1043	299
2	5001	293

prune96.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	57	3	60

Merged error: 0b

Counts

60 → 3

regimes13.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample390.0ms

Algorithm

intervals

Results

272.0ms

10641×

body

valid