Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

258×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	23	2
3	31	2
4	33	2
5	33	2

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 500.0 (- x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `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` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

11.0ms

(* 500.0 (- x y))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* 500.0 (- x y))

simplify97.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	188	356
1	730	220
2	3302	190
3	5001	166

prune35.0ms

Filtered

49 candidates to 20 candidates (59.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt 500.0) (- x y))
0.4b	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
51×	`*-un-lft-identity`
47×	`add-cube-cbrt`
28×	`associate-r`
18×	`associate-l`
16×	`sqrt-prod`
14×	`unswap-sqr`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 142

Calls

2 calls:

8.0ms	(* (sqrt 500.0) (- x y))
17.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (sqrt 500.0) (- x y))
99.0ms	(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	385	1281
1	1711	869
2	5001	810

prune97.0ms

Filtered

148 candidates to 54 candidates (63.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	1	148
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	148	3	151

Merged error: 0b

Counts

151 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (* (sqrt (cbrt 500.0)) (- x y)))
0.3b	(* (sqrt (cbrt 500.0)) (- x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
55×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
54×	`prod-diff`
51×	`add-cube-cbrt`
38×	`associate-r`
37×	`associate-l` `unswap-sqr`
30×	`sqrt-prod`
16×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`cbrt-prod`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg` `associate-*r/`
4×	`*-commutative`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

2 → 172

Calls

2 calls:

24.0ms	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (* (sqrt (cbrt 500.0)) (- x y)))
9.0ms	(* (sqrt (cbrt 500.0)) (- x y))

series363.0ms

Counts

2 → 6

Calls

2 calls:

259.0ms	(* (* (fabs (cbrt 500.0)) (sqrt 500.0)) (* (sqrt (cbrt 500.0)) (- x y)))
104.0ms	(* (sqrt (cbrt 500.0)) (- x y))

simplify94.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	745	2659
1	3449	2184
2	5002	2182

prune222.0ms

Filtered

178 candidates to 77 candidates (56.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	178	3	181

Merged error: 0b

Counts

181 → 3

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample242.0ms

Algorithm

intervals

Results

118.0ms	8057×	body	80	valid
1.0ms	15×	body	1280	valid
0.0ms	8×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid