Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	295×	body	80	valid
1.0ms	16×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	8×	body	320	valid
0.0ms	5×	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

prune5.0ms

Filtered

1 candidates to 0 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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
72×	`prod-diff`
58×	`*-un-lft-identity`
50×	`add-cube-cbrt`
42×	`associate-l`
38×	`distribute-rgt-in` `distribute-lft-in`
35×	`associate-r`
13×	`unswap-sqr`
9×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
4×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

2 → 141

Calls

2 calls:

14.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
15.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
69.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify107.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	533	1623
1	2239	1109
2	5001	1106

prune133.0ms

Filtered

147 candidates to 56 candidates (61.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	137	10	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	10	148

Merged error: 0.0b

Counts

148 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
98×	`add-sqr-sqrt`
76×	`*-un-lft-identity`
68×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-r`
32×	`associate-l`
12×	`unswap-sqr`
10×	`*-commutative`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`sub-neg` `fma-neg`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

2 → 159

Calls

2 calls:

9.0ms	(- 6.0 (* 9.0 x))
14.0ms	(* x (- 6.0 (* 9.0 x)))

series137.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(- 6.0 (* 9.0 x))
88.0ms	(* x (- 6.0 (* 9.0 x)))

simplify96.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	453	2034
1	1699	1294
2	5001	1236

prune125.0ms

Filtered

165 candidates to 49 candidates (70.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	166	9	175

Merged error: 0.0b

Counts

175 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))
56.3b	(fma (- x) 9.0 (* x 9.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

108×	`prod-diff`
99×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`add-cube-cbrt`
38×	`distribute-rgt-in` `distribute-lft-in`
34×	`associate-r`
32×	`associate-l`
12×	`unswap-sqr`
10×	`*-commutative`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`

Counts

3 → 169

Calls

3 calls:

13.0ms	(- 6.0 (* 9.0 x))
13.0ms	(* x (- 6.0 (* 9.0 x)))
1.0ms	(fma (- x) 9.0 (* x 9.0))

series185.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- 6.0 (* 9.0 x))
86.0ms	(* x (- 6.0 (* 9.0 x)))
50.0ms	(fma (- x) 9.0 (* x 9.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	463	2084
1	1729	1337
2	5002	1279

prune188.0ms

Filtered

178 candidates to 60 candidates (66.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	178	9	187

Merged error: 0.0b

Counts

187 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 65

Calls

2 calls:

10.0ms	(* (- 2.0 (* x 3.0)) x)
20.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series191.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (- 2.0 (* x 3.0)) x)
105.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify65.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	250	373
1	1170	331
2	5001	323

prune90.0ms

Filtered

71 candidates to 46 candidates (35.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	4	3	7
Picked	0	1	1
Done	1	0	1
Total	73	7	80

Merged error: 0.0b

Counts

80 → 7

regimes26.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample379.0ms

Algorithm

intervals

Results

194.0ms	9833×	body	80	valid
34.0ms	344×	body	1280	valid
19.0ms	272×	body	640	valid
8.0ms	162×	body	320	valid
2.0ms	64×	body	160	valid