Details

sample22.0ms

Algorithm

intervals

Results

14.0ms

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

prune3.0ms

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: 34.0b

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))
31.4b	(sqrt (+ (* re re) (* im im)))

rewrite15.0ms

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)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* re re) (* im im))
150.0ms	(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
46.0ms	(sqrt (+ (* re re) (* im im)))

simplify127.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 3 (30.0ms)

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

prune69.0ms

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: 0.6b

Counts

29 → 3

localize11.0ms

Local error

Found 1 expressions with local error:

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

series143.0ms

Counts

1 → 3

Calls

1 calls:

143.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

6 → 6

Iterations

Useful iterations: 2 (4.0ms)

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

prune26.0ms

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:

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

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

series406.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(/ 1 (/ (log 10.0) (log (hypot im re))))
268.0ms	(/ (log 10.0) (log (hypot im re)))

simplify144.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (11.0ms)

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

prune46.0ms

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:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-/r/`
8×	`clear-num`
6×	`frac-2neg` `associate-/r*` `div-inv`
3×	`remove-double-div` `inv-pow`
1×	`pow-flip`

Counts

3 → 27

Calls

3 calls:

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

series425.0ms

Counts

3 → 9

Calls

3 calls:

145.0ms	(/ 1 (/ (log (hypot im re)) (log 10.0)))
141.0ms	(/ 1 (/ 1 (/ (log (hypot im re)) (log 10.0))))
139.0ms	(/ (log (hypot im re)) (log 10.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	76	101
1	200	99
2	507	94
3	1825	86
4	5001	86

prune70.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	36	5	41

Merged error: 0.4b

Counts

41 → 5

regimes87.0ms

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	7	4

end0.0ms

sample494.0ms

Algorithm

intervals

Results

348.0ms

8000×

body

valid