Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

345×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune2.0ms

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

Counts

1 → 12

Calls

1 calls:

3.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify77.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune30.0ms

Filtered

15 candidates to 12 candidates (80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite23.0ms

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:

10.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
3.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (- (* x.re y.re) (* x.im y.im))) (cbrt (- (* x.re y.re) (* x.im y.im))))
113.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
119.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
114.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify101.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	310	1067
1	1065	1000
2	4162	924
3	5001	915

prune236.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))
1.3b	(cbrt (- (* x.re y.re) (* x.im y.im)))

rewrite15.0ms

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:

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

series470.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
115.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
121.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))
116.0ms	(cbrt (- (* x.re y.re) (* x.im y.im)))

simplify99.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	180	576
1	498	540
2	1453	516
3	3389	512
4	5001	504

prune233.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Merged error: 0b

Counts

66 → 2

regimes184.0ms

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	9	3
1	9	3

end0.0ms

sample513.0ms

Algorithm

intervals

Results

263.0ms

10461×

body

valid

Details

sample23.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series37.0ms

simplify77.0ms

prune30.0ms

localize9.0ms

rewrite23.0ms

series476.0ms

simplify101.0ms

prune236.0ms

localize14.0ms

rewrite15.0ms

series470.0ms

simplify99.0ms

prune233.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample513.0ms

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