Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	298×	body	80	valid
4.0ms	9×	body	640	valid
1.0ms	9×	body	1280	valid
0.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	81	4
3	166	4
4	225	4
5	227	4
6	227	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
6.0ms	(* 3.0 (- 2.0 (* x 3.0)))
7.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series204.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 2.0 (* x 3.0))
66.0ms	(* 3.0 (- 2.0 (* x 3.0)))
99.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5002	369

prune156.0ms

Filtered

83 candidates to 54 candidates (65.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (- 6.0 (* 9.0 x)))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(* x (- 6.0 (* 9.0 x)))

simplify125.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	151	198
1	642	173
2	3595	170
3	5001	162

prune66.0ms

Filtered

35 candidates to 19 candidates (54.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	36	8	44

Merged error: 0.0b

Counts

44 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))
51.9b	(fma (- x) 9.0 (* x 9.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

5.0ms	(* x (- 6.0 (* 9.0 x)))
1.0ms	(fma (- x) 9.0 (* x 9.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(* x (- 6.0 (* 9.0 x)))
51.0ms	(fma (- x) 9.0 (* x 9.0))

simplify135.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	161	248
1	675	216
2	3770	213
3	5001	213

prune115.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	6	1	7
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (pow x 2))
1.0b	(cbrt 6.0)
51.9b	(fma (- x) 9.0 (* x 9.0))
51.9b	(fma (- x) 9.0 (* x 9.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
9×	`add-exp-log`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `associate-l` `prod-exp`
2×	`fma-udef` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 62

Calls

4 calls:

6.0ms	(* 9.0 (pow x 2))
1.0ms	(cbrt 6.0)
1.0ms	(fma (- x) 9.0 (* x 9.0))
1.0ms	(fma (- x) 9.0 (* x 9.0))

series131.0ms

Counts

4 → 10

Calls

4 calls:

27.0ms	(* 9.0 (pow x 2))
0.0ms	(cbrt 6.0)
54.0ms	(fma (- x) 9.0 (* x 9.0))
49.0ms	(fma (- x) 9.0 (* x 9.0))

simplify150.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (144.0ms)

Iter	Nodes	Cost
0	166	255
1	628	220
2	3705	218
3	5001	217

prune253.0ms

Filtered

72 candidates to 54 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	72	7	79

Merged error: 0b

Counts

79 → 7

regimes32.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample388.0ms

Algorithm

intervals

Results

207.0ms	9768×	body	80	valid
29.0ms	332×	body	1280	valid
19.0ms	267×	body	640	valid
8.0ms	147×	body	320	valid
3.0ms	65×	body	160	valid