Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

322×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

144×	`prod-diff`
138×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
79×	`associate-l`
76×	`add-cube-cbrt`
75×	`associate-r`
29×	`unswap-sqr`
25×	`*-commutative`
12×	`fma-neg`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 178

Calls

1 calls:

16.0ms

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	513	2494
1	1319	1644
2	5001	1440

prune90.0ms

Filtered

181 candidates to 40 candidates (22.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	3	182

Merged error: 0.0b

Counts

182 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (* x.re 1) y.re (- (* y.im x.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 1) y.re (- (* y.im x.im)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma (* x.re 1) y.re (- (* y.im x.im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (36.0ms)

Iter	Nodes	Cost
0	37	67
1	84	57
2	244	56
3	976	56
4	5001	55

prune25.0ms

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x.re y.re (* x.im y.im))
0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
23.7b	(/ (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (fma x.re y.re (* x.im y.im)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

486×	`add-sqr-sqrt`
432×	`prod-diff`
306×	`*-un-lft-identity`
274×	`associate-r`
258×	`add-cube-cbrt` `associate-l`
146×	`distribute-rgt-in` `distribute-lft-in`
102×	`unswap-sqr`
78×	`*-commutative`
60×	`times-frac`
24×	`distribute-lft-out--` `difference-of-squares`
20×	`associate-/l*`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `associate-/r*` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `fma-udef` `div-inv`

Counts

4 → 611

Calls

4 calls:

1.0ms	(fma x.re y.re (* x.im y.im))
20.0ms	(- (* x.re y.re) (* x.im y.im))
26.0ms	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
38.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (fma x.re y.re (* x.im y.im)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(fma x.re y.re (* x.im y.im))
38.0ms	(- (* x.re y.re) (* x.im y.im))
112.0ms	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
42.0ms	(/ (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (fma x.re y.re (* x.im y.im)))

simplify123.0ms

Algorithm

egg-herbie

Counts

623 → 623

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1199	10670
1	5002	7936

prune461.0ms

Filtered

623 candidates to 178 candidates (28.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	622	1	623
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	622	4	626

Merged error: 0b

Counts

626 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(/ 1 (fma x.re y.re (* x.im y.im)))
0.3b	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
23.9b	(* (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (/ 1 (fma x.re y.re (* x.im y.im))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

452×	`add-sqr-sqrt`
432×	`prod-diff`
276×	`*-un-lft-identity`
257×	`associate-l`
254×	`associate-r`
249×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
96×	`unswap-sqr`
76×	`*-commutative`
32×	`add-exp-log`
31×	`associate-*r/`
22×	`times-frac`
20×	`add-cbrt-cube`
18×	`frac-times`
13×	`prod-exp` `associate-/l*`
12×	`pow1` `flip3--` `fma-neg` `associate-/r*` `flip--` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`clear-num`
4×	`expm1-log1p-u` `frac-2neg` `pow-prod-down` `log1p-expm1-u`
3×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `un-div-inv`
2×	`associate-*l/` `div-inv`
1×	`pow-flip` `diff-log` `inv-pow`

Counts

4 → 628

Calls

4 calls:

16.0ms	(- (* x.re y.re) (* x.im y.im))
3.0ms	(/ 1 (fma x.re y.re (* x.im y.im)))
29.0ms	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
27.0ms	(* (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (/ 1 (fma x.re y.re (* x.im y.im))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* x.re y.re) (* x.im y.im))
30.0ms	(/ 1 (fma x.re y.re (* x.im y.im)))
120.0ms	(* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im)))
38.0ms	(* (* (fma x.re y.re (* x.im y.im)) (- (* x.re y.re) (* x.im y.im))) (/ 1 (fma x.re y.re (* x.im y.im))))

simplify125.0ms

Algorithm

egg-herbie

Counts

640 → 640

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1297	10646
1	5002	7775

prune451.0ms

Filtered

640 candidates to 177 candidates (27.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	639	1	640
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	640	4	644

Merged error: 0b

Counts

644 → 4

regimes156.0ms

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	17	4
1	21	4
2	21	4

end0.0ms

sample489.0ms

Algorithm

intervals

Results

232.0ms

10359×

body

valid