Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

279×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.5b	(fma (/ (- y z) (- a z)) t x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 9

Calls

2 calls:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
82.0ms	(fma (/ (- y z) (- a z)) t x)

simplify58.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	100	43
1	244	43
2	626	43
3	2018	41
4	5001	41

prune47.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.5b	(fma (/ 1 (/ (- a z) (- y z))) t x)
0.6b	(/ 1 (/ (- a z) (- y z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
4×	`flip3--` `clear-num` `flip--` `associate-/l/`
3×	`frac-2neg` `associate-/r*` `div-inv`
1×	`div-sub` `fma-udef` `remove-double-div` `inv-pow`

Counts

3 → 22

Calls

3 calls:

4.0ms	(/ (- a z) (- y z))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)
6.0ms	(/ 1 (/ (- a z) (- y z)))

series410.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- a z) (- y z))
199.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)
153.0ms	(/ 1 (/ (- a z) (- y z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	125	84
1	353	82
2	1414	78
3	5001	78

prune91.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- a z))
0.0b	(+ (* (/ t (- a z)) (- y z)) x)
10.2b	(* (/ t (- a z)) (- y z))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

3.0ms	(/ t (- a z))
13.0ms	(+ (* (/ t (- a z)) (- y z)) x)
6.0ms	(* (/ t (- a z)) (- y z))

series407.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ t (- a z))
223.0ms	(+ (* (/ t (- a z)) (- y z)) x)
154.0ms	(* (/ t (- a z)) (- y z))

simplify91.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	243	190
1	869	188
2	4323	183
3	5001	182

prune128.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* t (/ 1 (- a z))) (- y z)) x)
0.0b	(/ 1 (- a z))
0.2b	(* t (/ 1 (- a z)))
10.2b	(* (* t (/ 1 (- a z))) (- y z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-*r/`
10×	`frac-times` `flip3--` `associate-l` `flip--`
9×	`associate-r` `clear-num`
8×	`associate-/r/` `un-div-inv`
7×	`fma-def`
5×	`frac-2neg` `associate-l/` `-commutative`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `div-inv`
1×	`+-commutative` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 56

Calls

4 calls:

11.0ms	(+ (* (* t (/ 1 (- a z))) (- y z)) x)
3.0ms	(/ 1 (- a z))
4.0ms	(* t (/ 1 (- a z)))
8.0ms	(* (* t (/ 1 (- a z))) (- y z))

series470.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(+ (* (* t (/ 1 (- a z))) (- y z)) x)
36.0ms	(/ 1 (- a z))
38.0ms	(* t (/ 1 (- a z)))
160.0ms	(* (* t (/ 1 (- a z))) (- y z))

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	268	261
1	1004	241
2	5001	237

prune163.0ms

Filtered

68 candidates to 43 candidates (63.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	68	5	73

Merged error: 0b

Counts

73 → 5

regimes137.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample551.0ms

Algorithm

intervals

Results

293.0ms

8747×

body

valid