Details

analyze559.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample22.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	41×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune3.0ms

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` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

3.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5477	145

prune27.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
4.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
5.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
39.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
37.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
37.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5128	1443

prune119.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.6b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
36.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
39.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
36.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify61.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4922	820
1	4922	820

prune140.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
1.0b	(sqrt (- (* x.re y.re) (* x.im y.im)))
1.0b	(sqrt (- (* x.re y.re) (* x.im y.im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

3.0ms	(- (* x.re y.re) (* x.im y.im))
11.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
3.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
4.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* x.re y.re) (* x.im y.im))
10.0ms	(* (sqrt (- (* x.re y.re) (* x.im y.im))) (sqrt (- (* x.re y.re) (* x.im y.im))))
22.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))
24.0ms	(sqrt (- (* x.re y.re) (* x.im y.im)))

simplify33.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5291	1344

prune83.0ms

Filtered

66 candidates to 110 candidates (-66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Merged error: 0.0b

Counts

114 → 4

regimes408.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample479.0ms

Algorithm

intervals

Results

216.0ms	8000×	body	80	valid
37.0ms	1333×	body	80	invalid

Details

analyze559.0ms

sample22.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify43.0ms

prune27.0ms

localize10.0ms

rewrite26.0ms

series159.0ms

simplify50.0ms

prune119.0ms

localize21.0ms

rewrite16.0ms

series150.0ms

simplify61.0ms

prune140.0ms

localize8.0ms

rewrite25.0ms

series65.0ms

simplify33.0ms

prune83.0ms

regimes408.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample479.0ms

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