Details

sample35.0ms

Algorithm

intervals

Results

21.0ms

450×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (15.0ms)

Iter	Nodes	Cost
0	21	9
1	55	9
2	150	9
3	401	6
4	1088	5
5	2704	5
6	5001	5

prune13.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3 (* x.im (* x.re x.im)))
0.2b	(* x.im (* x.re x.im))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* 3 (* x.im (* x.re x.im)))
5.0ms	(* x.im (* x.re x.im))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* 3 (* x.im (* x.re x.im)))
4.0ms	(* x.im (* x.re x.im))

simplify86.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	151	179
1	581	143
2	3219	143
3	5001	142

prune61.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 x.im) (* x.re x.im))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (* 3 x.im) (* x.re x.im))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* 3 x.im) (* x.re x.im))

simplify107.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	135	118
1	621	90
2	3862	90
3	5001	90

prune37.0ms

Filtered

9 candidates to 25 candidates (-177.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* (* 3 x.im) x.re) x.im)
0.2b	(* (* 3 x.im) x.re)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* (* 3 x.im) x.re) x.im)
5.0ms	(* (* 3 x.im) x.re)

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (* (* 3 x.im) x.re) x.im)
4.0ms	(* (* 3 x.im) x.re)

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	179
1	998	145
2	5001	145

prune62.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* x.im (* x.re x.im))
0.2b	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
0.2b	(* (sqrt 3) (* x.im (* x.re x.im)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
3×	`associate-r` `*-commutative` `add-log-exp`

Counts

3 → 69

Calls

3 calls:

5.0ms	(* x.im (* x.re x.im))
11.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
8.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* x.im (* x.re x.im))
9.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))
7.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	230	420
1	961	321
2	5001	321

prune84.0ms

Filtered

38 candidates to 78 candidates (-105.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes149.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

714.0ms

14366×

body

valid

Details

sample35.0ms

simplify84.0ms

prune13.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify86.0ms

prune61.0ms

localize7.0ms

rewrite7.0ms

series4.0ms

simplify107.0ms

prune37.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify39.0ms

prune62.0ms

localize9.0ms

rewrite34.0ms

series21.0ms

simplify35.0ms

prune84.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

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