Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3

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: 0.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/ (atan2 im re) (log 10.0))

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(/ (atan2 im re) (log 10.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	84	202
1	232	188
2	593	188
3	1534	188
4	4366	188
5	5003	188

prune63.0ms

Filtered

34 candidates to 22 candidates (64.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	26	8	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	9	35

Merged error: 0.1b

Counts

35 → 9

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10.0)))
0.7b	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

203×	`associate-/r*`
176×	`add-sqr-sqrt`
169×	`frac-times`
163×	`sqrt-prod`
137×	`*-un-lft-identity`
130×	`add-cube-cbrt`
88×	`associate-/l*`
85×	`times-frac`
42×	`pow1`
38×	`log-pow`
30×	`clear-num`
29×	`frac-2neg`
26×	`add-exp-log`
25×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
13×	`associate-r/` `associate-l/`
9×	`div-exp`
8×	`prod-exp`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`div-inv`
2×	`rec-exp` `1-exp` `un-div-inv` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 326

Calls

2 calls:

4.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
32.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series181.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
68.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify123.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	922	3316
1	4770	2718
2	5001	2554

prune279.0ms

Filtered

332 candidates to 104 candidates (31.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	324	8	332
Fresh	6	1	7
Picked	1	0	1
Done	1	0	1
Total	332	9	341

Merged error: 0b

Counts

341 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.7b	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b	(/ 1 (log 10.0))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

213×	`add-sqr-sqrt`
160×	`associate-*r/`
150×	`sqrt-div`
141×	`associate-/r*`
130×	`frac-times`
127×	`*-un-lft-identity`
119×	`sqrt-prod`
110×	`add-cube-cbrt`
91×	`times-frac`
81×	`associate-/l*`
69×	`associate-r`
53×	`unswap-sqr`
50×	`pow1`
39×	`log-pow`
31×	`add-exp-log` `associate-l`
27×	`frac-2neg` `clear-num`
19×	`add-cbrt-cube`
13×	`associate-*l/` `prod-exp`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`pow-prod-down` `div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 338

Calls

3 calls:

11.0ms	(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
37.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
3.0ms	(/ 1 (log 10.0))

series181.0ms

Counts

3 → 7

Calls

3 calls:

115.0ms	(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
66.0ms	(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms	(/ 1 (log 10.0))

simplify105.0ms

Algorithm

egg-herbie

Counts

345 → 345

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	952	3573
1	4424	2939
2	5002	2653

prune524.0ms

Filtered

345 candidates to 133 candidates (38.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	342	3	345
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	347	7	354

Merged error: 0b

Counts

354 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b	(* (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))) (atan2 im re))
1.0b	(/ 1 (log 10.0))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

253×	`times-frac`
218×	`sqrt-prod`
155×	`add-sqr-sqrt`
137×	`associate-l`
129×	`*-un-lft-identity`
127×	`add-cube-cbrt`
54×	`pow1`
49×	`log-pow`
39×	`associate-*l/`
25×	`associate-/l*`
15×	`associate-/r*`
11×	`add-exp-log`
10×	`sqrt-div` `div-inv` `associate-/l/`
9×	`add-cbrt-cube` `unswap-sqr`
3×	`frac-2neg` `div-exp` `associate-r` `clear-num`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`rec-exp` `pow-flip` `1-exp` `pow-prod-down` `*-commutative` `inv-pow`

Counts

2 → 236

Calls

2 calls:

38.0ms	(* (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))) (atan2 im re))
4.0ms	(/ 1 (log 10.0))

series66.0ms

Counts

2 → 4

Calls

2 calls:

66.0ms	(* (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))) (atan2 im re))
0.0ms	(/ 1 (log 10.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	477	2072
1	2000	1942
2	5001	1874

prune368.0ms

Filtered

240 candidates to 127 candidates (52.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	240	7	247

Merged error: 0b

Counts

247 → 7

regimes124.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample382.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid