Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

295×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	73	4
3	151	4
4	241	4
5	326	4
6	397	4
7	457	4
8	477	4
9	480	4
10	480	4

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: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-*l/`
3×	`*-commutative`
2×	`flip3--` `associate-l` `flip--`

Counts

2 → 8

Calls

2 calls:

4.0ms	(* (- x (/ 16.0 116.0)) 3.0)
4.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series77.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- x (/ 16.0 116.0)) 3.0)
38.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify50.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	67	46
1	166	43
2	503	43
3	1839	43
4	5001	43

prune29.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	4	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (- x (/ 16.0 116.0)) y)
0.3b	(* 3.0 (* (- x (/ 16.0 116.0)) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-*l/`
3×	`*-commutative`
2×	`flip3--` `associate-r/` `associate-r*` `flip--`

Counts

2 → 8

Calls

2 calls:

3.0ms	(* (- x (/ 16.0 116.0)) y)
4.0ms	(* 3.0 (* (- x (/ 16.0 116.0)) y))

series68.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (- x (/ 16.0 116.0)) y)
35.0ms	(* 3.0 (* (- x (/ 16.0 116.0)) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	46
1	193	43
2	609	43
3	2165	43
4	5002	43

prune25.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `associate-l/` `-commutative`
1×	`flip3--` `flip--`

Counts

1 → 5

Calls

1 calls:

8.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	62	31
1	168	28
2	528	28
3	1877	28
4	5002	28

prune15.0ms

Filtered

8 candidates to 5 candidates (62.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	8	0	8
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	8	5	13

Merged error: 0.0b

Counts

13 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.6b	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
3.7b	(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
8.3b	(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-commutative`
26×	`associate-l`
16×	`difference-of-squares`
10×	`prod-diff` `associate-*l/`
9×	`div-inv`
8×	`associate-/l*`
4×	`flip3--` `flip--`
2×	`fma-neg` `swap-sqr` `associate-r` `associate-/r/` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+`

Counts

4 → 51

Calls

4 calls:

6.0ms	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
7.0ms	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
8.0ms	(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
16.0ms	(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
68.0ms	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
52.0ms	(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
59.0ms	(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	257	452
1	903	404
2	5001	368

prune85.0ms

Filtered

63 candidates to 32 candidates (50.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	63	5	68

Merged error: 0b

Counts

68 → 5

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample351.0ms

Algorithm

intervals

Results

211.0ms

9147×

body

valid