Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

335×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

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.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:

3.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

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

prune23.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.2b	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
1.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite24.0ms

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×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* x.re y.im) (* x.im y.re))
10.0ms	(* (sqrt (+ (* x.re y.im) (* x.im y.re))) (sqrt (+ (* x.re y.im) (* x.im y.re))))
22.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
20.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	250	764
1	1016	706
2	5002	686

prune101.0ms

Filtered

67 candidates to 110 candidates (-64.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 4)
1.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))
1.8b	(sqrt (+ (* x.re y.im) (* x.im y.re)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
6×	`cbrt-prod` `sqrt-div`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow (cbrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 4)
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
3.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow (cbrt (sqrt (+ (* x.re y.im) (* x.im y.re)))) 4)
20.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
20.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))
20.0ms	(sqrt (+ (* x.re y.im) (* x.im y.re)))

simplify158.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	325	635
1	1064	608
2	4665	602
3	5002	602

prune107.0ms

Filtered

63 candidates to 81 candidates (-28.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	81	3	84

Merged error: 0.0b

Counts

84 → 3

regimes400.0ms

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

sample699.0ms

Algorithm

intervals

Results

262.0ms

10453×

body

valid

Details

sample25.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series9.0ms

simplify113.0ms

prune23.0ms

localize8.0ms

rewrite24.0ms

series62.0ms

simplify41.0ms

prune101.0ms

localize13.0ms

rewrite19.0ms

series118.0ms

simplify158.0ms

prune107.0ms

regimes400.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample699.0ms

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