Details

sample35.0ms

Algorithm

intervals

Results

22.0ms

484×

body

valid

simplify83.0ms

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

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

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify90.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (86.0ms)

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

prune56.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

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))

simplify110.0ms

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

prune220.0ms

Filtered

9 candidates to 25 candidates (-177.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* 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)
3.0ms	(* (* 3 x.im) x.re)

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

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

prune48.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	44	7	51

Merged error: 0b

Counts

51 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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))
7.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
11.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* x.im (* x.re x.im))
6.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
9.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

simplify39.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	230	420
1	962	321
2	5001	321

prune76.0ms

Filtered

37 candidates to 78 candidates (-110.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	78	7	85

Merged error: 0b

Counts

85 → 7

regimes149.0ms

Accuracy

0% (0.2b 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

sample975.0ms

Algorithm

intervals

Results

670.0ms

14560×

body

valid

Details

sample35.0ms

simplify83.0ms

prune13.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify90.0ms

prune56.0ms

localize7.0ms

rewrite7.0ms

series4.0ms

simplify110.0ms

prune220.0ms

localize7.0ms

rewrite12.0ms

series8.0ms

simplify39.0ms

prune48.0ms

localize9.0ms

rewrite25.0ms

series19.0ms

simplify39.0ms

prune76.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample975.0ms

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