Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

343×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (44.0ms)

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

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

5.0ms	(- (* (* 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)

series142.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- (* (* x 3.0) x) (* x 4.0))
33.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
28.0ms	(* (* x 3.0) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	306	404
1	1349	358
2	5001	342

prune154.0ms

Filtered

70 candidates to 48 candidates (68.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	5	71

Merged error: 0.0b

Counts

71 → 5

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)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- 3.0 (* 12.0 x))
32.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (57.0ms)

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

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify82.0ms

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

prune37.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	13	5	18

Merged error: 0b

Counts

18 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)
0.8b	(* (sqrt 3.0) (* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(- (* (* x 3.0) x) (* x 4.0))
11.0ms	(* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms	(* (* x 3.0) x)
14.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (* (* x 3.0) x) (* x 4.0))
57.0ms	(* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
34.0ms	(* (* x 3.0) x)
88.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	416	810
1	2038	683
2	5001	665

prune238.0ms

Filtered

106 candidates to 69 candidates (65.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	106	5	111

Merged error: 0b

Counts

111 → 5

regimes103.0ms

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	10	4
1	10	4

end0.0ms

sample388.0ms

Algorithm

intervals

Results

272.0ms

10731×

body

valid