Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

374×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	7
1	57	6
2	95	6
3	116	6
4	118	6
5	118	6

prune7.0ms

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ t (* z b))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
2.3b	(* a (+ t (* z b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 26

Calls

4 calls:

7.0ms	(+ x (* a (+ t (* z b))))
3.0ms	(+ t (* z b))
7.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
4.0ms	(* a (+ t (* z b)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(+ x (* a (+ t (* z b))))
25.0ms	(+ t (* z b))
100.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
53.0ms	(* a (+ t (* z b)))

simplify95.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	208	180
1	693	176
2	3247	174
3	5003	174

prune100.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* z (+ (* b a) y)) x) (* t a))
2.2b	(* z (+ (* b a) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 16

Calls

2 calls:

11.0ms	(+ (+ (* z (+ (* b a) y)) x) (* t a))
5.0ms	(* z (+ (* b a) y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (+ (* z (+ (* b a) y)) x) (* t a))
36.0ms	(* z (+ (* b a) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	145	109
1	407	109
2	1615	104
3	5002	104

prune57.0ms

Filtered

22 candidates to 16 candidates (72.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	22	5	27

Merged error: 0.0b

Counts

27 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
4.9b	(* (* a z) b)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+l+`
5×	`+-commutative`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

3 → 15

Calls

3 calls:

8.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(* (* a z) b)

series148.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
43.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* (* a z) b)

simplify120.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	152	133
1	692	126
2	3639	122
3	5002	122

prune69.0ms

Filtered

24 candidates to 20 candidates (83.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* z b) (* z b))
2.1b	(- (* t t) (* (* z b) (* z b)))
9.1b	(* a (- (* t t) (* (* z b) (* z b))))
18.7b	(/ (* a (- (* t t) (* (* z b) (* z b)))) (- t (* z b)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-commutative`
12×	`difference-of-squares`
10×	`associate-r`
6×	`associate-/l*`
4×	`flip3--` `associate-*r/` `flip--`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `swap-sqr` `associate-l` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 40

Calls

4 calls:

4.0ms	(* (* z b) (* z b))
6.0ms	(- (* t t) (* (* z b) (* z b)))
8.0ms	(* a (- (* t t) (* (* z b) (* z b))))
10.0ms	(/ (* a (- (* t t) (* (* z b) (* z b)))) (- t (* z b)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* z b) (* z b))
73.0ms	(- (* t t) (* (* z b) (* z b)))
163.0ms	(* a (- (* t t) (* (* z b) (* z b))))
135.0ms	(/ (* a (- (* t t) (* (* z b) (* z b)))) (- t (* z b)))

simplify189.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (183.0ms)

Iter	Nodes	Cost
0	188	249
1	783	230
2	4710	220
3	5001	217

prune98.0ms

Filtered

52 candidates to 28 candidates (53.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

regimes217.0ms

Accuracy

50.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 3.0b

bsearch50.0ms

Steps

Iters	Range		Point
9	-1206.3345481517715	-0.00047387465689648745	-29.568866138377945

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	13
1	33	13

end0.0ms

sample801.0ms

Algorithm

intervals

Results

417.0ms

11759×

body

valid