Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

328×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify116.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune25.0ms

Filtered

14 candidates to 12 candidates (85.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
0.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
0.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))

rewrite22.0ms

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

series420.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (+ (* x.re y.im) (* x.im y.re))) (cbrt (+ (* x.re y.im) (* x.im y.re))))
99.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
99.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
101.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	314	1055
1	1028	988
2	3721	912
3	5003	900

prune227.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.2b	(* (pow (+ (* x.re y.im) (* x.im y.re)) 2/3) (cbrt (+ (* x.re y.im) (* x.im y.re))))
0.8b	(cbrt (+ (* x.re y.im) (* x.im y.re)))
3.2b	(pow (+ (* x.re y.im) (* x.im y.re)) 2/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`cbrt-prod`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `add-log-exp` `unswap-sqr`
5×	`pow1` `add-cbrt-cube`
4×	`cbrt-div` `sqr-pow`
3×	`pow-unpow` `flip3-+` `prod-exp` `flip-+`
2×	`pow-to-exp` `pow1/3` `associate-*r/` `pow-exp`
1×	`+-commutative` `pow-pow` `sum-log` `*-commutative` `pow-prod-up` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

4.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(* (pow (+ (* x.re y.im) (* x.im y.re)) 2/3) (cbrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 2/3)

series267.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x.re y.im) (* x.im y.re))
30.0ms	(* (pow (+ (* x.re y.im) (* x.im y.re)) 2/3) (cbrt (+ (* x.re y.im) (* x.im y.re))))
107.0ms	(cbrt (+ (* x.re y.im) (* x.im y.re)))
101.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 2/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	386	753
1	1456	678
2	5002	565

prune203.0ms

Filtered

87 candidates to 69 candidates (79.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

regimes129.0ms

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	10	3
1	10	3

end0.0ms

sample568.0ms

Algorithm

intervals

Results

285.0ms

10532×

body

valid

Details

sample33.0ms

simplify5.0ms

prune2.0ms

localize8.0ms

rewrite4.0ms

series30.0ms

simplify116.0ms

prune25.0ms

localize12.0ms

rewrite22.0ms

series420.0ms

simplify95.0ms

prune227.0ms

localize12.0ms

rewrite24.0ms

series267.0ms

simplify48.0ms

prune203.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample568.0ms

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