Details

sample41.0ms

Algorithm

intervals

Results

24.0ms

500×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	44	6
2	58	6
3	60	6
4	60	6

prune8.0ms

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: 19.6b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
19.4b	(/ (* x x) (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-commutative`
4×	`times-frac`
2×	`associate-/r` `associate-/l`
1×	`frac-2neg` `clear-num` `fma-udef` `div-inv`

Counts

2 → 12

Calls

2 calls:

1.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
5.0ms	(/ (* x x) (* y y))

series133.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
29.0ms	(/ (* x x) (* y y))

simplify48.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	56	58
1	147	58
2	388	55
3	1486	55
4	5001	55

prune40.0ms

Filtered

18 candidates to 9 candidates (50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	16	4	20

Merged error: 0.2b

Counts

20 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-times` `clear-num`
8×	`frac-2neg`
4×	`div-inv`
3×	`associate-r/` `associate-l/`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `un-div-inv` `*-commutative` `fma-udef`

Counts

2 → 22

Calls

2 calls:

1.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
4.0ms	(* (/ z t) (/ z t))

series131.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
28.0ms	(* (/ z t) (/ z t))

simplify50.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	90	80
1	318	80
2	1712	76
3	5002	76

prune57.0ms

Filtered

28 candidates to 13 candidates (46.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	25	7	32

Merged error: 0.1b

Counts

32 → 7

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (/ z t) (/ t z))
0.3b	(fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`div-inv`
3×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`
1×	`times-frac` `associate-/r` `fma-udef` `associate-/l`

Counts

2 → 13

Calls

2 calls:

4.0ms	(/ (/ z t) (/ t z))
1.0ms	(fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (/ z t) (/ t z))
102.0ms	(fma (/ x y) (/ x y) (/ (/ z t) (/ t z)))

simplify39.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	80	65
1	210	63
2	1152	58
3	5001	58

prune45.0ms

Filtered

19 candidates to 10 candidates (52.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	19	7	26

Merged error: 0.1b

Counts

26 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (* (/ t z) (/ t z)))
0.3b	(fma (/ x y) (/ x y) (/ 1 (* (/ t z) (/ t z))))
0.3b	(* (/ t z) (/ t z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`clear-num`
18×	`frac-times`
17×	`frac-2neg`
16×	`associate-/r/`
9×	`div-inv`
6×	`associate-r/` `associate-l/`
5×	`associate-/r*`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `un-div-inv` `*-commutative`
1×	`pow-flip` `fma-udef` `inv-pow`

Counts

3 → 48

Calls

3 calls:

6.0ms	(/ 1 (* (/ t z) (/ t z)))
1.0ms	(fma (/ x y) (/ x y) (/ 1 (* (/ t z) (/ t z))))
5.0ms	(* (/ t z) (/ t z))

series158.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ 1 (* (/ t z) (/ t z)))
95.0ms	(fma (/ x y) (/ x y) (/ 1 (* (/ t z) (/ t z))))
28.0ms	(* (/ t z) (/ t z))

simplify133.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	139	148
1	535	148
2	3611	133
3	5002	133

prune114.0ms

Filtered

57 candidates to 34 candidates (59.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	55	9	64

Merged error: 0.1b

Counts

64 → 9

regimes399.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

664.0ms

15643×

body

valid