Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

497×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	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 x) (* y y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x x) (* y y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(+ (* x x) (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune26.0ms

Filtered

14 candidates to 11 candidates (78.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
7.9b	(sqrt (+ (* x x) (* y y)))
7.9b	(sqrt (+ (* x x) (* y y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 52

Calls

4 calls:

3.0ms	(+ (* x x) (* y y))
4.0ms	(+ (* x x) (* y y))
3.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(sqrt (+ (* x x) (* y y)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x x) (* y y))
26.0ms	(+ (* x x) (* y y))
34.0ms	(sqrt (+ (* x x) (* y y)))
37.0ms	(sqrt (+ (* x x) (* y y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	125	354
1	530	326
2	1540	326
3	5001	324

prune111.0ms

Filtered

64 candidates to 50 candidates (78.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.2b	(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
1.9b	(- (* (* x x) (* y y)) (pow x 4))
4.7b	(* (* x x) (* y y))
43.7b	(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
35×	`times-frac`
32×	`pow1`
21×	`difference-of-squares`
18×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
14×	`pow-prod-down`
11×	`add-log-exp`
8×	`prod-exp` `sum-cubes` `cbrt-unprod` `distribute-lft-out`
7×	`unpow-prod-down` `associate-/r*` `distribute-lft-out--` `sqr-pow`
5×	`associate-/l*`
4×	`pow-plus` `diff-log` `pow-prod-up`
3×	`sub-neg` `flip3--` `flip--`
2×	`pow2` `associate-/r/` `pow-sqr` `associate-/l/` `associate--r+`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `flip-+` `div-inv` `associate--r-` `unswap-sqr`

Counts

4 → 124

Calls

4 calls:

13.0ms	(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
9.0ms	(- (* (* x x) (* y y)) (pow x 4))
8.0ms	(* (* x x) (* y y))
20.0ms	(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
44.0ms	(- (* (* x x) (* y y)) (pow x 4))
34.0ms	(* (* x x) (* y y))
115.0ms	(/ (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))))

simplify77.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	456	1889
1	2371	1790
2	5001	1762

prune285.0ms

Filtered

136 candidates to 81 candidates (59.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Merged error: 0b

Counts

139 → 3

regimes68.0ms

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	8	9
1	8	9

end0.0ms

sample522.0ms

Algorithm

intervals

Results

307.0ms

14159×

body

valid