Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

260×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

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: 16.5b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

4.0b	(/ (* y z) t)
7.1b	(/ (* y b) t)
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-/r/`
10×	`frac-add`
8×	`associate-/l*`
7×	`flip3-+` `flip-+`
5×	`frac-2neg` `clear-num`
4×	`*-commutative`
3×	`div-inv`
2×	`associate-/l/`

Counts

3 → 27

Calls

3 calls:

3.0ms	(/ (* y z) t)
3.0ms	(/ (* y b) t)
8.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(/ (* y z) t)
22.0ms	(/ (* y b) t)
93.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify107.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	243	243
1	887	243
2	4403	243
3	5003	243

prune146.0ms

Filtered

36 candidates to 30 candidates (83.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	24	12	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	12	37

Merged error: 11.3b

Counts

37 → 12

localize12.0ms

Local error

Found 3 expressions with local error:

4.0b	(/ (* y z) t)
4.4b	(/ y (/ t b))
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r/`
8×	`frac-add`
6×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`
3×	`associate-/r*`
2×	`associate-/l/` `associate-/l*`
1×	`*-commutative`

Counts

3 → 27

Calls

3 calls:

3.0ms	(/ (* y z) t)
3.0ms	(/ y (/ t b))
8.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

series172.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (* y z) t)
20.0ms	(/ y (/ t b))
136.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ y (/ t b))))

simplify104.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	238	220
1	908	220
2	4362	219
3	5002	219

prune122.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	37	11	48

Merged error: 9.8b

Counts

48 → 11

localize13.0ms

Local error

Found 3 expressions with local error:

4.0b	(/ (* y z) t)
4.2b	(* (/ y (- t)) (- b))
11.9b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (- t)) (- b))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*l/`
10×	`associate-/r/`
8×	`frac-add`
6×	`flip3-+` `flip-+`
5×	`frac-2neg` `clear-num`
4×	`neg-mul-1`
3×	`associate-/r*` `div-inv`
2×	`-commutative` `associate-/l/` `associate-/l`
1×	`associate-r` `associate-l` `distribute-rgt-neg-out`

Counts

3 → 28

Calls

3 calls:

6.0ms	(/ (* y z) t)
4.0ms	(* (/ y (- t)) (- b))
8.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (- t)) (- b))))

series140.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* y z) t)
20.0ms	(* (/ y (- t)) (- b))
101.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* (/ y (- t)) (- b))))

simplify35.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	277	257
1	1088	254
2	5001	252

prune133.0ms

Filtered

37 candidates to 30 candidates (81.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	38	10	48

Merged error: 9.8b

Counts

48 → 10

localize16.0ms

Local error

Found 3 expressions with local error:

4.2b	(* (/ y (- t)) (- b))
5.6b	(/ z (/ t y))
11.9b	(/ (+ x (/ z (/ t y))) (+ (+ a 1.0) (* (/ y (- t)) (- b))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-/r/`
12×	`associate-*l/`
8×	`frac-add`
6×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
4×	`neg-mul-1` `associate-/r*` `div-inv`
2×	`associate-/l/`
1×	`associate-r` `associate-l` `*-commutative` `distribute-rgt-neg-out`

Counts

3 → 30

Calls

3 calls:

4.0ms	(* (/ y (- t)) (- b))
3.0ms	(/ z (/ t y))
8.0ms	(/ (+ x (/ z (/ t y))) (+ (+ a 1.0) (* (/ y (- t)) (- b))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (/ y (- t)) (- b))
19.0ms	(/ z (/ t y))
85.0ms	(/ (+ x (/ z (/ t y))) (+ (+ a 1.0) (* (/ y (- t)) (- b))))

simplify35.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	265	257
1	1085	254
2	5001	251

prune114.0ms

Filtered

39 candidates to 31 candidates (79.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	39	10	49

Merged error: 9.8b

Counts

49 → 10

regimes304.0ms

Accuracy

11.9% (4.3b remaining)

Error of 13.8b against oracle of 9.6b and baseline of 14.4b

bsearch125.0ms

Steps

Iters	Range		Point
9	2.6053112136977602e-281	2.583287639093751e-276	1.2255216464227784e-277
8	-5.217591096860456e-134	-9.515592695180577e-138	-1.6642546363229162e-134

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	18
1	46	18
2	49	18
3	49	18

end0.0ms

sample672.0ms

Algorithm

intervals

Results

356.0ms

8290×

body

valid