Details

sample28.0ms

Algorithm

intervals

Results

12.0ms

358×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r*` `associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

1 → 8

Calls

1 calls:

5.0ms

(/ (- (+ x y) z) (* t 2.0))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	108	42
1	351	40
2	1141	40
3	4451	39
4	5001	38

prune24.0ms

Filtered

11 candidates to 10 candidates (90.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	9	2	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	3	12

Merged error: 0.0b

Counts

12 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.0b	(/ (+ x y) (* t 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

35×	`frac-sub`
30×	`associate-/r*`
15×	`frac-2neg` `*-commutative`
13×	`clear-num`
12×	`associate-/l/`
6×	`flip3-+` `flip-+` `div-inv`
4×	`sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `prod-diff` `flip--`

Counts

2 → 53

Calls

2 calls:

9.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
4.0ms	(/ (+ x y) (* t 2.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
35.0ms	(/ (+ x y) (* t 2.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	649	591
1	3933	530
2	5001	515

prune151.0ms

Filtered

59 candidates to 51 candidates (86.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma y (/ 0.5 t) (* (/ 0.5 t) (- x z)))
0.3b	(* (/ 0.5 t) (- x z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
4×	`flip3--` `flip--`
3×	`frac-2neg` `associate-*l/` `clear-num`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `fma-udef` `div-inv`

Counts

2 → 18

Calls

2 calls:

1.0ms	(fma y (/ 0.5 t) (* (/ 0.5 t) (- x z)))
4.0ms	(* (/ 0.5 t) (- x z))

series99.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma y (/ 0.5 t) (* (/ 0.5 t) (- x z)))
45.0ms	(* (/ 0.5 t) (- x z))

simplify44.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	186	119
1	574	110
2	2283	110
3	5003	110

prune50.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t 2.0 (* (/ (* t 2.0) (+ x y)) (- z)))
0.2b	(* (/ (* t 2.0) (+ x y)) (* t 2.0))
1.1b	(* (/ (* t 2.0) (+ x y)) (- z))
23.5b	(/ (fma t 2.0 (* (/ (* t 2.0) (+ x y)) (- z))) (* (/ (* t 2.0) (+ x y)) (* t 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-*l/`
11×	`associate-/r/`
9×	`associate-l`
8×	`*-commutative`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`associate-r`
4×	`frac-2neg` `clear-num` `div-inv`
3×	`flip3-+` `flip-+`
1×	`neg-mul-1` `distribute-rgt-neg-out` `fma-udef`

Counts

4 → 38

Calls

4 calls:

1.0ms	(fma t 2.0 (* (/ (* t 2.0) (+ x y)) (- z)))
6.0ms	(* (/ (* t 2.0) (+ x y)) (* t 2.0))
6.0ms	(* (/ (* t 2.0) (+ x y)) (- z))
7.0ms	(/ (fma t 2.0 (* (/ (* t 2.0) (+ x y)) (- z))) (* (/ (* t 2.0) (+ x y)) (* t 2.0)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(fma t 2.0 (* (/ (* t 2.0) (+ x y)) (- z)))
31.0ms	(* (/ (* t 2.0) (+ x y)) (* t 2.0))
85.0ms	(* (/ (* t 2.0) (+ x y)) (- z))
87.0ms	(/ (fma t 2.0 (* (/ (* t 2.0) (+ x y)) (- z))) (* (/ (* t 2.0) (+ x y)) (* t 2.0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	240	248
1	1072	238
2	4495	227
3	5002	226

prune120.0ms

Filtered

50 candidates to 42 candidates (84.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	50	4	54

Merged error: 0b

Counts

54 → 4

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample526.0ms

Algorithm

intervals

Results

270.0ms

10841×

body

valid

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4