Details

analyze526.0ms

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

sample34.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	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

localize9.0ms

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4873	141
1	4873	141

prune23.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
0.3b	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
36.1b	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

4.0ms	(+ (* x.re y.im) (* x.im y.re))
5.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
5.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

series56.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* x.re y.im) (* x.im y.re))
36.0ms	(pow (+ (* x.re y.im) (* x.im y.re)) 3)
10.0ms	(cbrt (pow (+ (* x.re y.im) (* x.im y.re)) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4949	806
1	4949	806

prune65.0ms

Filtered

39 candidates to 68 candidates (-74.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x.im (* x.im (* y.re y.re)))
7.0b	(* x.im (* y.re y.re))
8.1b	(* x.re (* y.im y.im))
27.5b	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac` `associate-l`
4×	`add-log-exp`
3×	`associate-r` `associate-/r` `-commutative` `associate-/l*`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(* x.im (* x.im (* y.re y.re)))
6.0ms	(* x.im (* y.re y.re))
6.0ms	(* x.re (* y.im y.im))
13.0ms	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x.im (* x.im (* y.re y.re)))
7.0ms	(* x.im (* y.re y.re))
7.0ms	(* x.re (* y.im y.im))
29.0ms	(/ (- (* x.re (* x.re (* y.im y.im))) (* x.im (* x.im (* y.re y.re)))) (- (* x.re y.im) (* x.im y.re)))

simplify27.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5170	1250

prune74.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes372.0ms

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	7
1	10	7

end0.0ms

sample922.0ms

Algorithm

intervals

Results

178.0ms

8000×

body

valid

Details

analyze526.0ms

sample34.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite4.0ms

series10.0ms

simplify67.0ms

prune23.0ms

localize9.0ms

rewrite15.0ms

series56.0ms

simplify46.0ms

prune65.0ms

localize15.0ms

rewrite37.0ms

series50.0ms

simplify27.0ms

prune74.0ms

regimes372.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample922.0ms

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