Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

340×

body

valid

simplify4.0ms

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

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify115.0ms

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

prune27.0ms

Filtered

14 candidates to 12 candidates (85.7%)

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: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.re y.im) (* x.re y.im))
0.3b	(* (* x.im y.re) (* x.im y.re))
2.8b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
26.0b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

8.0ms	(* (* x.re y.im) (* x.re y.im))
6.0ms	(* (* x.im y.re) (* x.im y.re))
6.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
11.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x.re y.im) (* x.re y.im))
28.0ms	(* (* x.im y.re) (* x.im y.re))
98.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
71.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify73.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	413	954
1	2306	805
2	5002	788

prune167.0ms

Filtered

129 candidates to 66 candidates (51.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Merged error: 0.0b

Counts

132 → 3

localize8.0ms

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)
35.7b	(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))

series191.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* y.re x.im) (* y.im x.re))
123.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
36.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (38.0ms)

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

prune101.0ms

Filtered

68 candidates to 41 candidates (60.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

regimes122.0ms

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

sample498.0ms

Algorithm

intervals

Results

234.0ms

10465×

body

valid