Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune9.0ms

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))
1.0b	(fma (/ (- y z) (- a z)) t x)

rewrite8.0ms

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:

7.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series131.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
78.0ms	(fma (/ (- y z) (- a z)) t x)

simplify55.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 3 (21.0ms)

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

prune49.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	12	5	17

Merged error: 0.0b

Counts

17 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
1.0b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times` `flip3--` `flip--`
5×	`clear-num`
4×	`frac-2neg` `associate-/r/`
3×	`associate-r/` `associate-r*`
2×	`associate-*l/` `un-div-inv` `div-inv`
1×	`*-commutative` `fma-udef` `inv-pow`

Counts

3 → 24

Calls

3 calls:

3.0ms	(/ 1 (- a z))
5.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series168.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ 1 (- a z))
49.0ms	(* (- y z) (/ 1 (- a z)))
80.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify52.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	130	97
1	527	97
2	2413	97
3	5001	96

prune79.0ms

Filtered

33 candidates to 20 candidates (60.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
1.0b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite10.0ms

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))
5.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series390.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- a z) (- y z))
139.0ms	(/ 1 (/ (- a z) (- y z)))
197.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify42.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (13.0ms)

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

prune90.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ t (- a z)) (- y z)) x)
0.0b	(/ t (- a z))
10.9b	(* (/ t (- a z)) (- y z))

rewrite18.0ms

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:

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

series411.0ms

Counts

3 → 9

Calls

3 calls:

222.0ms	(+ (* (/ t (- a z)) (- y z)) x)
35.0ms	(/ t (- a z))
153.0ms	(* (/ t (- a z)) (- y z))

simplify88.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (84.0ms)

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

prune121.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	44	6	50

Merged error: 0b

Counts

50 → 6

regimes147.0ms

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

sample549.0ms

Algorithm

intervals

Results

287.0ms	8781×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid