Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

395×

body

valid

simplify280.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.0b	(+ (* x y) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
7×	`fma-def`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate-+l+`

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
3.0ms	(+ (* x y) (* z z))
8.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series129.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ (* x y) (* z z)) (* z z))
38.0ms	(+ (* x y) (* z z))
46.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify130.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	235	373
1	1084	317
2	4667	293
3	5001	292

prune137.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z z))
0.0b	(fma z z (* z z))
0.1b	(+ (+ (* x y) (* z z)) (fma z z (* z z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `sum-log`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `fma-udef`
1×	`associate-+l+` `associate-+r+` `distribute-lft-out`

Counts

3 → 44

Calls

3 calls:

3.0ms	(+ (* x y) (* z z))
1.0ms	(fma z z (* z z))
6.0ms	(+ (+ (* x y) (* z z)) (fma z z (* z z)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x y) (* z z))
56.0ms	(fma z z (* z z))
60.0ms	(+ (+ (* x y) (* z z)) (fma z z (* z z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	192	271
1	771	246
2	3210	236
3	5001	230

prune140.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* z z))
0.0b	(fma z z (* z z))
0.1b	(+ (fma x y (* z z)) (fma z z (* z z)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `fma-udef`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 39

Calls

3 calls:

1.0ms	(fma x y (* z z))
1.0ms	(fma z z (* z z))
3.0ms	(+ (fma x y (* z z)) (fma z z (* z z)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(fma x y (* z z))
51.0ms	(fma z z (* z z))
65.0ms	(+ (fma x y (* z z)) (fma z z (* z z)))

simplify59.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	106	212
1	372	195
2	1817	191
3	5001	188

prune327.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* z z))
0.1b	(+ (fma z z (fma x y (* z z))) (* z z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+`

Counts

2 → 27

Calls

2 calls:

1.0ms	(fma x y (* z z))
3.0ms	(+ (fma z z (fma x y (* z z))) (* z z))

series106.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(fma x y (* z z))
64.0ms	(+ (fma z z (fma x y (* z z))) (* z z))

simplify54.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	109	171
1	441	152
2	1732	147
3	5001	138

prune77.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes123.0ms

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	8	5
1	8	5

end0.0ms

sample570.0ms

Algorithm

intervals

Results

319.0ms

12223×

body

valid