Details

sample41.0ms

Algorithm

intervals

Results

26.0ms

488×

body

valid

simplify162.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

prune8.0ms

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: 6.9b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* 3 (* x.im (* x.re x.re)))
7.0b	(* x.im (* x.re 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-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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* 3 (* x.im (* x.re x.re)))
6.0ms	(* x.im (* x.re x.re))

simplify82.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (6.0ms)

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

prune64.0ms

Filtered

46 candidates to 26 candidates (43.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 0.1b

Counts

48 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (* x.im x.re) x.re)
7.0ms	(* 3 (* (* x.im x.re) x.re))

simplify33.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

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

prune57.0ms

Filtered

45 candidates to 24 candidates (46.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize7.0ms

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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	165	188
1	851	145
2	5002	145

prune52.0ms

Filtered

45 candidates to 23 candidates (48.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

14.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
5.0ms	(* (* x.im x.re) x.re)
7.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

series29.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (* x.im x.re) x.re)))
6.0ms	(* (* x.im x.re) x.re)
10.0ms	(* (cbrt 3) (* (* x.im x.re) x.re))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	281	596
1	1445	422
2	5001	369

prune95.0ms

Filtered

85 candidates to 38 candidates (55.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	84	7	91

Merged error: 0b

Counts

91 → 7

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample984.0ms

Algorithm

intervals

Results

660.0ms

14205×

body

valid

Details

sample41.0ms

simplify162.0ms

prune8.0ms

localize7.0ms

rewrite13.0ms

series13.0ms

simplify82.0ms

prune64.0ms

localize7.0ms

rewrite12.0ms

series13.0ms

simplify33.0ms

prune57.0ms

localize7.0ms

rewrite12.0ms

series11.0ms

simplify34.0ms

prune52.0ms

localize11.0ms

rewrite29.0ms

series29.0ms

simplify50.0ms

prune95.0ms

regimes102.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample984.0ms

Profiling