Details

sample27.0ms

Algorithm

intervals

Results

9.0ms

345×

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(+ (* 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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re x.im) (* y.im x.re))
0.3b	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
32.5b	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

rewrite13.0ms

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:

3.0ms	(+ (* y.re x.im) (* y.im x.re))
4.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
4.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series54.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* y.re x.im) (* y.im x.re))
32.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
10.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	258	431
1	1250	408
2	5001	402

prune68.0ms

Filtered

41 candidates to 68 candidates (-65.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (- (* y.re x.im) (* y.im x.re)) 3)
2.1b	(- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re)))
32.5b	(cbrt (/ (pow (- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re))) 3) (pow (- (* y.re x.im) (* y.im x.re)) 3)))
46.1b	(/ (pow (- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re))) 3) (pow (- (* y.re x.im) (* y.im x.re)) 3))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

336×	`times-frac`
190×	`unpow-prod-down` `cube-prod`
174×	`cbrt-prod`
170×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
55×	`cube-mult` `unpow3` `sqr-pow`
51×	`difference-of-squares`
17×	`add-exp-log`
14×	`associate-/l*`
12×	`associate-/r*`
9×	`div-exp`
8×	`cube-div`
7×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3--` `flip--`
4×	`associate-/r/`
3×	`pow-unpow`
2×	`div-inv` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `clear-num` `rem-cube-cbrt`

Counts

4 → 439

Calls

4 calls:

4.0ms	(pow (- (* y.re x.im) (* y.im x.re)) 3)
6.0ms	(- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re)))
20.0ms	(cbrt (/ (pow (- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re))) 3) (pow (- (* y.re x.im) (* y.im x.re)) 3)))
18.0ms	(/ (pow (- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re))) 3) (pow (- (* y.re x.im) (* y.im x.re)) 3))

series183.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (- (* y.re x.im) (* y.im x.re)) 3)
29.0ms	(- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re)))
29.0ms	(cbrt (/ (pow (- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re))) 3) (pow (- (* y.re x.im) (* y.im x.re)) 3)))
88.0ms	(/ (pow (- (* (* y.re x.im) (* y.re x.im)) (* (* y.im x.re) (* y.im x.re))) 3) (pow (- (* y.re x.im) (* y.im x.re)) 3))

simplify264.0ms

Algorithm

egg-herbie

Counts

451 → 451

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	778	10276
1	4882	9626
2	5001	9626

prune331.0ms

Filtered

159 candidates to 451 candidates (-183.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	451	0	451
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	451	3	454

Merged error: 0.0b

Counts

454 → 3

regimes376.0ms

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

sample717.0ms

Algorithm

intervals

Results

260.0ms

10433×

body

valid

Details

sample27.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series10.0ms

simplify113.0ms

prune23.0ms

localize9.0ms

rewrite13.0ms

series54.0ms

simplify45.0ms

prune68.0ms

localize16.0ms

rewrite77.0ms

series183.0ms

simplify264.0ms

prune331.0ms

regimes376.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample717.0ms

Profiling