Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

478×

body

valid

simplify308.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3197	4
12	5001	4

prune5.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* y y)) (* x x))
0.2b	(* 3 (* y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ (* 3 (* y y)) (* x x))
6.0ms	(* 3 (* y y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* 3 (* y y)) (* x x))
28.0ms	(* 3 (* y y))

simplify89.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139

prune70.0ms

Filtered

36 candidates to 23 candidates (63.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 y) y) (* x x))
0.2b	(* (* 3 y) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

6.0ms	(+ (* (* 3 y) y) (* x x))
10.0ms	(* (* 3 y) y)

series73.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (* 3 y) y) (* x x))
30.0ms	(* (* 3 y) y)

simplify146.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138

prune70.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (+ (* x x) (* y y)) (* y y))
0.1b	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

4.0ms	(+ (* x x) (* y y))
6.0ms	(+ (+ (* x x) (* y y)) (* y y))
10.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x x) (* y y))
39.0ms	(+ (+ (* x x) (* y y)) (* y y))
45.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify142.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (136.0ms)

Iter	Nodes	Cost
0	218	352
1	1048	312
2	4094	291
3	5002	280

prune95.0ms

Filtered

47 candidates to 35 candidates (74.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	46	8	54

Merged error: 0b

Counts

54 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
0.2b	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
6.7b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
6.7b	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

15.0ms	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
16.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
5.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y))
40.0ms	(* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))
61.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))
55.0ms	(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	244	1203
1	1165	1041
2	5001	979

prune183.0ms

Filtered

110 candidates to 67 candidates (60.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	110	8	118

Merged error: 0b

Counts

118 → 8

regimes155.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample571.0ms

Algorithm

intervals

Results

350.0ms

14068×

body

valid