Details

sample14.0ms

Algorithm

intervals

Results

5.0ms	234×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

11.0ms

(+ x (/ (- x y) 2.0))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(+ x (/ (- x y) 2.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune63.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ x (/ x 2.0)) (/ y 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
52×	`prod-diff`
48×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
37×	`times-frac`
15×	`distribute-lft-out`
6×	`add-log-exp`
4×	`fma-neg` `div-inv`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `log1p-expm1-u`

Counts

1 → 78

Calls

1 calls:

16.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(- (+ x (/ x 2.0)) (/ y 2.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	451	1522
1	1443	1047
2	5002	936

prune105.0ms

Filtered

81 candidates to 27 candidates (33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series818.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(* (cbrt x) (cbrt x))
184.0ms	(cbrt x)
204.0ms	(cbrt x)
208.0ms	(cbrt x)

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune253.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	91	8	99

Merged error: 0.0b

Counts

99 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series811.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
208.0ms	(cbrt x)
208.0ms	(cbrt x)
189.0ms	(cbrt x)

simplify157.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune249.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

regimes102.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample320.0ms

Algorithm

intervals

Results

142.0ms	7428×	body	80	valid
22.0ms	228×	body	1280	valid
10.0ms	148×	body	640	valid
8.0ms	83×	body	2560	valid
3.0ms	66×	body	320	valid
2.0ms	49×	body	160	valid