Details

sample15.0ms

Algorithm

intervals

Results

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

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
108×	`prod-diff`
85×	`*-un-lft-identity`
73×	`add-cube-cbrt`
52×	`associate-l`
44×	`associate-r`
38×	`distribute-rgt-in` `distribute-lft-in`
17×	`unswap-sqr`
12×	`*-commutative`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-log-exp`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-*l/`
1×	`diff-log`

Counts

3 → 198

Calls

3 calls:

9.0ms	(- 2.0 (* x 3.0))
14.0ms	(* 3.0 (- 2.0 (* x 3.0)))
16.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series208.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- 2.0 (* x 3.0))
64.0ms	(* 3.0 (- 2.0 (* x 3.0)))
100.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify104.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	562	2266
1	2419	1501
2	5001	1484

prune246.0ms

Filtered

207 candidates to 79 candidates (38.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	198	9	207
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	199	9	208

Merged error: 0.0b

Counts

208 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

11.0ms

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

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify103.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	132	139
1	506	125
2	2945	121
3	5002	121

prune66.0ms

Filtered

29 candidates to 19 candidates (65.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	30	8	38

Merged error: 0.0b

Counts

38 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 6.0 x) (* 9.0 (pow x 2)))
0.2b	(* 9.0 (pow x 2))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

265×	`add-sqr-sqrt`
240×	`prod-diff`
170×	`associate-r`
125×	`*-un-lft-identity`
116×	`add-cube-cbrt`
106×	`associate-l`
86×	`unswap-sqr`
54×	`unpow-prod-down`
34×	`*-commutative`
30×	`unpow2`
28×	`sqr-pow`
12×	`fma-neg`
10×	`difference-of-squares`
7×	`add-exp-log`
4×	`pow1` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
3×	`prod-exp`
2×	`expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `pow-exp` `flip--` `cbrt-unprod`

Counts

2 → 312

Calls

2 calls:

25.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
7.0ms	(* 9.0 (pow x 2))

series118.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
29.0ms	(* 9.0 (pow x 2))

simplify139.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	889	5345
1	2417	3213
2	5001	3089

prune240.0ms

Filtered

318 candidates to 66 candidates (20.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	315	3	318
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	319	7	326

Merged error: 0b

Counts

326 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* 6.0 1) x (- (* (pow x 2) 9.0)))
0.2b	(* (pow x 2) 9.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

1.0ms	(fma (* 6.0 1) x (- (* (pow x 2) 9.0)))
12.0ms	(* (pow x 2) 9.0)

series125.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(fma (* 6.0 1) x (- (* (pow x 2) 9.0)))
30.0ms	(* (pow x 2) 9.0)

simplify123.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	132	195
1	434	169
2	2571	165
3	5001	161

prune112.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	46	7	53

Merged error: 0b

Counts

53 → 7

regimes28.0ms

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	18	5
1	22	5
2	22	5

end0.0ms

sample362.0ms

Algorithm

intervals

Results

188.0ms	9768×	body	80	valid
31.0ms	332×	body	1280	valid
18.0ms	267×	body	640	valid
8.0ms	147×	body	320	valid
2.0ms	65×	body	160	valid