Details

sample265.0ms

Algorithm

intervals

Results

9.0ms

455×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	35	3
3	67	3
4	163	3
5	294	3
6	541	3
7	2138	3
8	5001	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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* re re) (* im im))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

268×	`add-sqr-sqrt`
225×	`prod-diff`
168×	`*-un-lft-identity`
156×	`add-cube-cbrt`
105×	`swap-sqr`
97×	`associate-l`
93×	`associate-r`
41×	`*-commutative` `unswap-sqr`
25×	`difference-of-squares`
15×	`fma-neg`
5×	`distribute-lft-out--`
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 → 284

Calls

1 calls:

24.0ms

(- (* re re) (* im im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (* re re) (* im im))

simplify72.0ms

Algorithm

egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	601	3377
1	1573	2178
2	5001	1644

prune83.0ms

Filtered

287 candidates to 31 candidates (10.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	1	288

Merged error: 0b

Counts

288 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

16.2b	(sqrt (* re re))
16.2b	(sqrt (* re re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
26×	`add-sqr-sqrt`
18×	`pow1`
12×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-pow1`
10×	`rem-sqrt-square`
8×	`swap-sqr`
6×	`associate-r` `associate-l`
4×	`*-commutative` `unswap-sqr`
2×	`add-exp-log` `pow2` `expm1-log1p-u` `pow-plus` `pow1/2` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

2 → 72

Calls

2 calls:

5.0ms	(sqrt (* re re))
5.0ms	(sqrt (* re re))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(sqrt (* re re))
8.0ms	(sqrt (* re re))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	72	170
1	190	168
2	826	164
3	5001	164

prune144.0ms

Filtered

78 candidates to 48 candidates (61.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	1	79

Merged error: 0b

Counts

79 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample457.0ms

Algorithm

intervals

Results

256.0ms

14072×

body

valid