Details

sample11.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	16	3
2	18	3
3	18	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

8.0ms

(/ (- x y) (- 1.0 y))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(/ (- x y) (- 1.0 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	259	377
1	714	359
2	2580	358
3	5001	358

prune113.0ms

Filtered

57 candidates to 40 candidates (70.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
0.0b	(/ y (- 1.0 y))
0.0b	(/ x (- 1.0 y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

712×	`*-un-lft-identity`
702×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
412×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 571

Calls

3 calls:

37.0ms	(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
5.0ms	(/ y (- 1.0 y))
5.0ms	(/ x (- 1.0 y))

series128.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
34.0ms	(/ y (- 1.0 y))
44.0ms	(/ x (- 1.0 y))

simplify197.0ms

Algorithm

egg-herbie

Counts

580 → 580

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	1304	15653
1	3687	11671
2	5001	11585

prune863.0ms

Filtered

580 candidates to 259 candidates (44.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	579	1	580
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	580	2	582

Merged error: 0b

Counts

582 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- 1.0 y))
0.0b	(fma (/ x (- (* 1.0 1.0) (* y y))) (+ 1.0 y) (- (/ y (- 1.0 y))))
2.1b	(/ x (- (* 1.0 1.0) (* y y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`times-frac`
22×	`add-cube-cbrt`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`associate-/r/` `distribute-lft-out--`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`fma-udef`

Counts

3 → 84

Calls

3 calls:

6.0ms	(/ y (- 1.0 y))
1.0ms	(fma (/ x (- (* 1.0 1.0) (* y y))) (+ 1.0 y) (- (/ y (- 1.0 y))))
5.0ms	(/ x (- (* 1.0 1.0) (* y y)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ y (- 1.0 y))
69.0ms	(fma (/ x (- (* 1.0 1.0) (* y y))) (+ 1.0 y) (- (/ y (- 1.0 y))))
61.0ms	(/ x (- (* 1.0 1.0) (* y y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	378	634
1	1394	577
2	5002	575

prune234.0ms

Filtered

93 candidates to 76 candidates (81.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

regimes26.0ms

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	7	5

end0.0ms

sample262.0ms

Algorithm

intervals

Results

142.0ms

8000×

body

valid