Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

326×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- 1.0 x) y (* x z))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(fma (- 1.0 x) y (* x z))

simplify74.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	35	65
1	74	52
2	314	52
3	1718	52
4	5001	52

prune34.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	2	14

Merged error: 0.0b

Counts

14 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 x) y (* x z))
0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.0b	(sqrt (fma (- 1.0 x) y (* x z)))
0.3b	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma (- 1.0 x) y (* x z))
2.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
2.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
8.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

series511.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma (- 1.0 x) y (* x z))
211.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
211.0ms	(sqrt (fma (- 1.0 x) y (* x z)))
41.0ms	(* (sqrt (fma (- 1.0 x) y (* x z))) (sqrt (fma (- 1.0 x) y (* x z))))

simplify193.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	200	616
1	683	524
2	3877	498
3	5001	498

prune198.0ms

Filtered

103 candidates to 60 candidates (58.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0.0b

Counts

105 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (fma (- 1.0 x) y (* x z))))
0.0b	(sqrt (sqrt (fma (- 1.0 x) y (* x z))))
0.2b	(* (pow (sqrt (sqrt (fma (- 1.0 x) y (* x z)))) 3) (sqrt (sqrt (fma (- 1.0 x) y (* x z)))))
0.4b	(pow (sqrt (sqrt (fma (- 1.0 x) y (* x z)))) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`associate-r`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 157

Calls

4 calls:

3.0ms	(sqrt (sqrt (fma (- 1.0 x) y (* x z))))
3.0ms	(sqrt (sqrt (fma (- 1.0 x) y (* x z))))
18.0ms	(* (pow (sqrt (sqrt (fma (- 1.0 x) y (* x z)))) 3) (sqrt (sqrt (fma (- 1.0 x) y (* x z)))))
6.0ms	(pow (sqrt (sqrt (fma (- 1.0 x) y (* x z)))) 3)

series908.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(sqrt (sqrt (fma (- 1.0 x) y (* x z))))
208.0ms	(sqrt (sqrt (fma (- 1.0 x) y (* x z))))
45.0ms	(* (pow (sqrt (sqrt (fma (- 1.0 x) y (* x z)))) 3) (sqrt (sqrt (fma (- 1.0 x) y (* x z)))))
431.0ms	(pow (sqrt (sqrt (fma (- 1.0 x) y (* x z)))) 3)

simplify94.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	454	1898
1	1875	1597
2	5002	1420

prune326.0ms

Filtered

169 candidates to 82 candidates (48.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	169	3	172

Merged error: 0.0b

Counts

172 → 3

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample509.0ms

Algorithm

intervals

Results

296.0ms

10195×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3