Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

333×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	20	3
2	24	3
3	24	3

prune1.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `fma-neg` `diff-log` `prod-diff` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 16

Calls

1 calls:

4.0ms

(- (* x.re y.re) (* x.im y.im))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (* x.re y.re) (* x.im y.im))

simplify76.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	105	92
1	362	83
2	1107	83
3	2622	80
4	5001	80

prune37.0ms

Filtered

19 candidates to 16 candidates (84.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	2	20

Merged error: 0.0b

Counts

20 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x.re y.re (- (* x.im y.im)))

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 x.re y.re (- (* x.im y.im)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma x.re y.re (- (* x.im y.im)))

simplify121.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	55
1	59	48
2	197	48
3	764	48
4	4225	48
5	5001	48

prune23.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
35.7b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `flip--` `log1p-expm1-u`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `fma-neg` `pow1/3` `diff-log` `prod-diff` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 68

Calls

3 calls:

3.0ms	(- (* y.re x.re) (* y.im x.im))
4.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
4.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

series208.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* y.re x.re) (* y.im x.im))
128.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
40.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	270	465
1	1152	434
2	5001	428

prune120.0ms

Filtered

77 candidates to 49 candidates (63.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Merged error: 0.0b

Counts

79 → 2

regimes72.0ms

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	12	3
1	14	3
2	14	3

end0.0ms

sample487.0ms

Algorithm

intervals

Results

236.0ms

10442×

body

valid