Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

473×

body

valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	20	9
1	48	9
2	113	9
3	277	5
4	705	5
5	1571	5
6	4493	5
7	5002	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: 5.6b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3 (* x.im (* x.re x.re)))
5.6b	(* x.im (* x.re x.re))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series64.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* 3 (* x.im (* x.re x.re)))
32.0ms	(* x.im (* x.re x.re))

simplify82.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	152	183
1	589	147
2	2908	147
3	5003	147

prune73.0ms

Filtered

46 candidates to 26 candidates (56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x.im x.re) x.re)
0.2b	(* 3 (* (* x.im x.re) 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`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* x.im x.re) x.re)
32.0ms	(* 3 (* (* x.im x.re) x.re))

simplify32.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	165	181
1	857	145
2	5001	145

prune65.0ms

Filtered

45 candidates to 24 candidates (53.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 3 (* x.im x.re)) x.re)
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`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

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

series51.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (* 3 (* x.im x.re)) x.re)
19.0ms	(* 3 (* x.im x.re))

simplify34.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	165	177
1	851	145
2	5002	145

prune59.0ms

Filtered

45 candidates to 23 candidates (51.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	45	8	53

Merged error: 0.0b

Counts

53 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x.im x.re) x.re)
0.2b	(* (sqrt 3) (* (* x.im x.re) x.re))
0.3b	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (* x.im x.re) x.re)
65.0ms	(* (sqrt 3) (* (* x.im x.re) x.re))
97.0ms	(* (sqrt 3) (* (sqrt 3) (* (* x.im x.re) x.re)))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	244	422
1	1343	323
2	5001	323

prune105.0ms

Filtered

78 candidates to 41 candidates (52.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	2	4
Picked	0	1	1
Done	0	3	3
Total	79	7	86

Merged error: 0b

Counts

86 → 7

regimes50.0ms

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

sample905.0ms

Algorithm

intervals

Results

660.0ms

14487×

body

valid