Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	319×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify26.0ms

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: 0.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

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:

15.0ms	(- 2.0 (* x 3.0))
14.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
13.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- 2.0 (* x 3.0))
99.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
77.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify144.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	557	2266
1	2376	1501
2	5001	1475

prune177.0ms

Filtered

207 candidates to 79 candidates (38.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	199	8	207
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	8	208

Merged error: 0.0b

Counts

208 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`prod-diff`
34×	`*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`associate-l`
12×	`associate-r`
6×	`unswap-sqr`
4×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`fma-neg`
2×	`expm1-log1p-u` `flip3--` `associate-*l/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

2 → 83

Calls

2 calls:

8.0ms	(- 6.0 (* 9.0 x))
10.0ms	(* (- 6.0 (* 9.0 x)) x)

series142.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- 6.0 (* 9.0 x))
89.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	350	782
1	1155	518
2	5001	499

prune98.0ms

Filtered

89 candidates to 42 candidates (47.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

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))

rewrite59.0ms

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:

26.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
7.0ms	(* 9.0 (pow x 2))

series121.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (* 6.0 x) (* 9.0 (pow x 2)))
33.0ms	(* 9.0 (pow x 2))

simplify179.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	882	5345
1	2368	3213
2	5001	3089

prune181.0ms

Filtered

318 candidates to 66 candidates (20.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	316	2	318
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	319	6	325

Merged error: 0b

Counts

325 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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

series146.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(fma x 6.0 (- (* (pow x 2) 9.0)))
39.0ms	(* (pow x 2) 9.0)

simplify167.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (162.0ms)

Iter	Nodes	Cost
0	126	183
1	404	160
2	2399	157
3	5001	155

prune80.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	46	6	52

Merged error: 0b

Counts

52 → 6

regimes23.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	15	4
2	15	4

end0.0ms

sample370.0ms

Algorithm

intervals

Results

201.0ms	9805×	body	80	valid
25.0ms	300×	body	1280	valid
21.0ms	266×	body	640	valid
7.0ms	146×	body	320	valid
3.0ms	74×	body	160	valid