Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	83×	body	1280	valid
6.0ms	58×	body	640	valid
3.0ms	17×	body	2560	valid
2.0ms	68×	body	80	valid
2.0ms	24×	body	320	valid
0.0ms	6×	body	160	valid

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	5
1	43	5
2	91	5
3	194	5
4	321	5
5	579	5
6	1088	5
7	1305	5
8	1305	5

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: 46.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
10.6b	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
13×	`add-log-exp`
7×	`distribute-lft-out`
4×	`add-sqr-sqrt` `sum-log` `associate--r+` `distribute-lft-out--`
3×	`+-commutative` `diff-log`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-+r+` `associate-l` `add-cbrt-cube`
1×	`sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 36

Calls

2 calls:

8.0ms	(+ (* x y) z)
17.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x y) z)
39.0ms	(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	192	245
1	622	229
2	2611	228
3	5001	228

prune90.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 8.8b

Counts

43 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
8.2b	(- (fma x y z) (+ (* x y) z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
9×	`add-log-exp`
4×	`add-sqr-sqrt` `distribute-lft-out`
3×	`distribute-lft-out--`
2×	`pow1` `add-exp-log` `+-commutative` `add-cube-cbrt` `diff-log` `associate-l` `sum-log` `add-cbrt-cube` `associate--r+`
1×	`sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

2 → 32

Calls

2 calls:

8.0ms	(+ (* x y) z)
10.0ms	(- (fma x y z) (+ (* x y) z))

series57.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x y) z)
35.0ms	(- (fma x y z) (+ (* x y) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	149	193
1	438	184
2	1319	183
3	5001	183

prune81.0ms

Filtered

38 candidates to 24 candidates (63.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 8.5b

Counts

40 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

10.5b

(- (fma x y z) (* x y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `associate-l` `add-cbrt-cube` `flip--` `unswap-sqr`

Counts

1 → 16

Calls

1 calls:

7.0ms

(- (fma x y z) (* x y))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- (fma x y z) (* x y))

simplify62.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	109
1	224	102
2	658	102
3	1614	102
4	5001	102

prune45.0ms

Filtered

19 candidates to 12 candidates (63.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	19	3	22

Merged error: 8.5b

Counts

22 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
4.1b	(- (* (* x y) (* x y)) (* z z))
10.1b	(- (fma x y z) (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)))
29.0b	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

1663×	`add-sqr-sqrt`
602×	`unswap-sqr`
577×	`*-un-lft-identity`
525×	`difference-of-squares`
407×	`times-frac`
257×	`swap-sqr`
209×	`distribute-lft-out--`
202×	`associate-l`
131×	`*-commutative`
83×	`add-cube-cbrt`
58×	`associate-/l*`
43×	`pow1`
24×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
17×	`pow-prod-down`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
7×	`associate-/r*`
4×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
2×	`sub-neg` `pow-plus` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r-`

Counts

4 → 644

Calls

4 calls:

14.0ms	(* (* x y) (* x y))
50.0ms	(- (* (* x y) (* x y)) (* z z))
152.0ms	(- (fma x y z) (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)))
74.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

series227.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x y) (* x y))
59.0ms	(- (* (* x y) (* x y)) (* z z))
67.0ms	(- (fma x y z) (/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z)))
62.0ms	(/ (- (* (* x y) (* x y)) (* z z)) (- (* x y) z))

simplify104.0ms

Algorithm

egg-herbie

Counts

656 → 656

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1079	7130
1	5001	6727

prune578.0ms

Filtered

656 candidates to 151 candidates (23.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	655	1	656
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	656	3	659

Merged error: 8.3b

Counts

659 → 3

regimes54.0ms

Accuracy

0% (0.1b remaining)

Error of 7.7b against oracle of 7.7b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample896.0ms

Algorithm

intervals

Results

334.0ms	2509×	body	1280	valid
159.0ms	1584×	body	640	valid
87.0ms	573×	body	2560	valid
67.0ms	2184×	body	80	valid
60.0ms	796×	body	320	valid
19.0ms	354×	body	160	valid