Details

sample21.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.1b	(* a (+ (+ b c) d))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`+-commutative` `associate-+l+`
4×	`distribute-rgt-in` `distribute-lft-in`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`*-commutative`

Counts

2 → 16

Calls

2 calls:

3.0ms	(+ (+ b c) d)
4.0ms	(* a (+ (+ b c) d))

series45.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(+ (+ b c) d)
26.0ms	(* a (+ (+ b c) d))

simplify72.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	93	67
1	256	66
2	875	66
3	3758	65
4	5001	65

prune38.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0.0b

Counts

23 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma a b (* a c))
0.0b	(fma d a (fma a b (* a c)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`

Counts

2 → 2

Calls

2 calls:

1.0ms	(fma a b (* a c))
1.0ms	(fma d a (fma a b (* a c)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(fma a b (* a c))
33.0ms	(fma d a (fma a b (* a c)))

simplify10.0ms

Algorithm

egg-herbie

Counts

8 → 8

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	14
1	44	14
2	74	14
3	87	14
4	88	14
5	88	14

prune11.0ms

Filtered

8 candidates to 3 candidates (37.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	8	0	8
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	8	3	11

Merged error: 0.0b

Counts

11 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ b c) 3)
0.1b	(* (+ b c) (+ b c))
0.5b	(* a (+ (pow (+ b c) 3) (pow d 3)))
17.8b	(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`flip3-+` `flip-+`
18×	`associate-/r/`
16×	`frac-add`
12×	`frac-times`
10×	`associate-*r/`
8×	`flip3--` `flip--`
6×	`associate-*l/`
4×	`+-commutative` `distribute-rgt-in` `distribute-lft-in`
3×	`-commutative` `associate-/l`
2×	`associate-r` `sum-cubes` `associate-/l/`
1×	`pow2` `pow-to-exp` `frac-2neg` `unpow3` `clear-num` `div-inv` `sqr-pow`

Counts

4 → 51

Calls

4 calls:

2.0ms	(pow (+ b c) 3)
4.0ms	(* (+ b c) (+ b c))
5.0ms	(* a (+ (pow (+ b c) 3) (pow d 3)))
17.0ms	(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

series596.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (+ b c) 3)
16.0ms	(* (+ b c) (+ b c))
329.0ms	(* a (+ (pow (+ b c) 3) (pow d 3)))
220.0ms	(/ (* a (+ (pow (+ b c) 3) (pow d 3))) (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))))

simplify74.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	656	891
1	2826	825
2	5001	825

prune210.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	63	3	66

Merged error: 0.0b

Counts

66 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ b c) 3)
0.1b	(* (+ b c) (+ b c))
0.2b	(/ (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))) a)
18.1b	(/ (+ (pow (+ b c) 3) (pow d 3)) (/ (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))) a))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-/l/`
33×	`flip3-+` `flip-+`
32×	`frac-add`
21×	`associate-/r/`
20×	`frac-times`
16×	`flip3--` `flip--`
10×	`associate-r/` `associate-l/`
4×	`div-inv`
3×	`frac-2neg` `clear-num`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-cubes`
1×	`pow2` `pow-to-exp` `associate-+r-` `times-frac` `unpow3` `div-sub` `associate-/r` `-commutative` `associate-/l*` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

2.0ms	(pow (+ b c) 3)
4.0ms	(* (+ b c) (+ b c))
14.0ms	(/ (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))) a)
17.0ms	(/ (+ (pow (+ b c) 3) (pow d 3)) (/ (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))) a))

series276.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow (+ b c) 3)
14.0ms	(* (+ b c) (+ b c))
100.0ms	(/ (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))) a)
132.0ms	(/ (+ (pow (+ b c) 3) (pow d 3)) (/ (+ (* (+ b c) (+ b c)) (- (* d d) (* (+ b c) d))) a))

simplify93.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	776	1157
1	3807	1021
2	5001	1019

prune343.0ms

Filtered

80 candidates to 63 candidates (78.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	3	83

Merged error: 0.0b

Counts

83 → 3

regimes138.0ms

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	3
1	8	3

end0.0ms

sample520.0ms

Algorithm

intervals

Results

184.0ms	8000×	pre	80	true
147.0ms	8000×	body	80	valid