Details

sample260.0ms

Algorithm

intervals

Results

4.0ms	70×	body	1280	valid
3.0ms	167×	body	80	valid
3.0ms	60×	body	640	valid
1.0ms	26×	body	320	valid
0.0ms	12×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	40	4
2	123	4
3	279	4
4	490	4
5	713	4
6	1046	4
7	2001	4
8	3844	4
9	5001	4

prune3.0ms

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: 39.7b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) (+ x 1.0))
4.3b	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`add-exp-log` `frac-times` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`prod-diff`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-r/` `associate-l/` `associate--l+` `log1p-expm1-u`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `difference-of-squares` `unswap-sqr`

Counts

2 → 63

Calls

2 calls:

8.0ms	(* (+ x 1.0) (+ x 1.0))
11.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

series91.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (+ x 1.0) (+ x 1.0))
75.0ms	(- (* (+ x 1.0) (+ x 1.0)) 1.0)

simplify50.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	281	350
1	1394	305
2	5001	297

prune85.0ms

Filtered

69 candidates to 40 candidates (58.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Merged error: 0b

Counts

70 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x 2.0 (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x 2.0 (pow x 2))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma x 2.0 (pow x 2))

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	43
1	67	38
2	263	38
3	1043	38
4	5001	38

prune22.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ x 1.0)) (* 1.0 (+ x 1.0)))
0.0b	(* x (+ x 1.0))
4.3b	(- (+ (* x (+ x 1.0)) (* 1.0 (+ x 1.0))) 1.0)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`prod-diff`
10×	`associate-*r/` `add-log-exp`
6×	`distribute-rgt-out` `flip3-+` `flip-+`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `associate-r` `frac-add`
3×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `associate-l` `log1p-expm1-u`
2×	`associate-+l+` `associate-+r+` `diff-log` `sum-log` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `fma-def` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

7.0ms	(+ (* x (+ x 1.0)) (* 1.0 (+ x 1.0)))
6.0ms	(* x (+ x 1.0))
11.0ms	(- (+ (* x (+ x 1.0)) (* 1.0 (+ x 1.0))) 1.0)

series113.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* x (+ x 1.0)) (* 1.0 (+ x 1.0)))
41.0ms	(* x (+ x 1.0))
54.0ms	(- (+ (* x (+ x 1.0)) (* 1.0 (+ x 1.0))) 1.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	433	715
1	2349	522
2	5002	510

prune106.0ms

Filtered

92 candidates to 61 candidates (66.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	92	2	94

Merged error: 0b

Counts

94 → 2

regimes11.0ms

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	5	2

end0.0ms

sample475.0ms

Algorithm

intervals

Results

146.0ms	2319×	body	1280	valid
88.0ms	1649×	body	640	valid
79.0ms	5404×	body	80	valid
34.0ms	836×	body	320	valid
13.0ms	425×	body	160	valid