Details

sample27.0ms

Algorithm

intervals

Results

16.0ms

460×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (17.0ms)

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

series41.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* x.im (* x.re x.im))
24.0ms	(* 3 (* x.im (* x.re x.im)))

simplify93.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (90.0ms)

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

prune65.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	9	47

Merged error: 0.0b

Counts

47 → 9

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))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify115.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (6.0ms)

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

prune33.0ms

Filtered

25 candidates to 9 candidates (36.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	26	8	34

Merged error: 0.0b

Counts

34 → 8

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)

rewrite13.0ms

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:

7.0ms	(* (* (* 3 x.im) x.re) x.im)
5.0ms	(* (* 3 x.im) x.re)

series42.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (* (* 3 x.im) x.re) x.im)
19.0ms	(* (* 3 x.im) x.re)

simplify40.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (8.0ms)

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

prune63.0ms

Filtered

45 candidates to 22 candidates (48.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	44	9	53

Merged error: 0b

Counts

53 → 9

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))))

rewrite27.0ms

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))
8.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
12.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

series152.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* x.im (* x.re x.im))
51.0ms	(* (sqrt 3) (* x.im (* x.re x.im)))
83.0ms	(* (sqrt 3) (* (sqrt 3) (* x.im (* x.re x.im))))

simplify38.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (8.0ms)

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

prune91.0ms

Filtered

78 candidates to 37 candidates (47.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	78	9	87

Merged error: 0b

Counts

87 → 9

regimes87.0ms

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

sample726.0ms

Algorithm

intervals

Results

504.0ms

14379×

body

valid