Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	7
1	15	7
2	15	7

prune2.0ms

Filtered

1 candidates to 0 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: 31.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* re re) (* im im))
0.6b	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.2b	(sqrt (+ (* re re) (* im im)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative` `hypot-def`
4×	`sqrt-div`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `log-div` `fma-def` `pow1/2` `div-sub`
1×	`frac-2neg` `clear-num` `log-pow` `div-inv` `associate-/l*`

Counts

3 → 19

Calls

3 calls:

4.0ms	(+ (* re re) (* im im))
5.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms	(sqrt (+ (* re re) (* im im)))

series194.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* re re) (* im im))
126.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
37.0ms	(sqrt (+ (* re re) (* im im)))

simplify123.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	126	138
1	402	134
2	1024	128
3	3969	126
4	5001	126

prune70.0ms

Filtered

28 candidates to 19 candidates (67.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	3	29

Merged error: 0.5b

Counts

29 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.6b	(/ (log (hypot re im)) (log 10.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`frac-2neg` `clear-num` `div-inv`

Counts

1 → 3

Calls

1 calls:

2.0ms

(/ (log (hypot re im)) (log 10.0))

series149.0ms

Counts

1 → 3

Calls

1 calls:

149.0ms

(/ (log (hypot re im)) (log 10.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	38	24
1	58	24
2	98	22
3	301	22
4	1391	22
5	5002	22

prune19.0ms

Filtered

6 candidates to 6 candidates (100.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	6	3	9

Merged error: 0.5b

Counts

9 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ (log 10.0) (log (hypot re im))))
0.6b	(/ (log 10.0) (log (hypot re im)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`clear-num`
3×	`frac-2neg` `associate-/r/` `div-inv`
1×	`associate-/r*` `remove-double-div` `inv-pow`

Counts

2 → 12

Calls

2 calls:

3.0ms	(/ 1 (/ (log 10.0) (log (hypot re im))))
2.0ms	(/ (log 10.0) (log (hypot re im)))

series284.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(/ 1 (/ (log 10.0) (log (hypot re im))))
142.0ms	(/ (log 10.0) (log (hypot re im)))

simplify145.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	62	60
1	119	59
2	257	56
3	861	53
4	3309	53
5	5001	53

prune47.0ms

Filtered

18 candidates to 15 candidates (83.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	5	21

Merged error: 0.4b

Counts

21 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (* (log 10.0) (/ 1 (log (hypot re im)))))
0.3b	(/ 1 (log (hypot re im)))
0.6b	(* (log 10.0) (/ 1 (log (hypot re im))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-*r/` `clear-num`
5×	`associate-/r/`
4×	`frac-2neg` `un-div-inv` `div-inv`
3×	`associate-/r*`
2×	`associate-r` `*-commutative` `inv-pow`

Counts

3 → 23

Calls

3 calls:

4.0ms	(/ 1 (* (log 10.0) (/ 1 (log (hypot re im)))))
2.0ms	(/ 1 (log (hypot re im)))
3.0ms	(* (log 10.0) (/ 1 (log (hypot re im))))

series386.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(/ 1 (* (log 10.0) (/ 1 (log (hypot re im)))))
108.0ms	(/ 1 (log (hypot re im)))
143.0ms	(* (log 10.0) (/ 1 (log (hypot re im))))

simplify192.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	78	83
1	238	80
2	645	74
3	1350	71
4	3954	71
5	5001	71

prune56.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	32	5	37

Merged error: 0.4b

Counts

37 → 5

regimes91.0ms

Accuracy

0% (0.2b remaining)

Error of 0.6b against oracle of 0.4b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample485.0ms

Algorithm

intervals

Results

342.0ms

8000×

body

valid