Details

analyze542.0ms

Algorithm: search

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	18	3

prune4.0ms

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify74.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	78
1	285	71
2	895	71
3	2136	71
4	5001	71

prune27.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y.re x.re) (* y.im x.im))
0.3b	(pow (- (* y.re x.re) (* y.im x.im)) 3)
34.3b	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 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×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

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

series54.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (* y.re x.re) (* y.im x.im))
35.0ms	(pow (- (* y.re x.re) (* y.im x.im)) 3)
10.0ms	(cbrt (pow (- (* y.re x.re) (* y.im x.im)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	251	435
1	1098	412
2	5001	406

prune66.0ms

Filtered

41 candidates to 69 candidates (-68.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
1.7b	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
2.2b	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
37.1b	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`times-frac`
20×	`difference-of-squares` `sqr-pow`
19×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `associate-/l*`
8×	`add-log-exp`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

8.0ms	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
6.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
7.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
16.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

series132.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re)))
14.0ms	(* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re)))
47.0ms	(- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
47.0ms	(/ (- (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.im y.im) (+ (* x.im y.im) (* x.re y.re))) (* (* x.re y.re) (* x.re y.re))))

simplify132.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	554	1992
1	3250	1869
2	5003	1864

prune179.0ms

Filtered

92 candidates to 121 candidates (-31.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes363.0ms

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	9	3
1	9	3

end0.0ms

analyze534.0ms

Algorithm: search

sample477.0ms

Algorithm

intervals

Results

208.0ms	8000×	body	80	valid
41.0ms	1379×	body	80	invalid

Details

analyze542.0ms

sample19.0ms

simplify5.0ms

prune4.0ms

localize5.0ms

rewrite3.0ms

series10.0ms

simplify74.0ms

prune27.0ms

localize9.0ms

rewrite13.0ms

series54.0ms

simplify42.0ms

prune66.0ms

localize15.0ms

rewrite43.0ms

series132.0ms

simplify132.0ms

prune179.0ms

regimes363.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze534.0ms

sample477.0ms

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