Details

sample15.0ms

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))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	84	202
1	232	188
2	595	188
3	1531	188
4	4373	188
5	5001	188

prune73.0ms

Filtered

34 candidates to 22 candidates (64.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	27	7	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	8	35

Merged error: 0.0b

Counts

35 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (log 10.0) (atan2 im re)))
0.8b	(/ (log 10.0) (atan2 im re))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`pow1` `associate-/r*`
16×	`log-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 119

Calls

2 calls:

7.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
4.0ms	(/ (log 10.0) (atan2 im re))

series101.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
45.0ms	(/ (log 10.0) (atan2 im re))

simplify64.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	308	989
1	1318	881
2	4663	790
3	5001	790

prune157.0ms

Filtered

125 candidates to 53 candidates (42.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	4	2	6
Picked	1	0	1
Done	1	0	1
Total	125	8	133

Merged error: 0.0b

Counts

133 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (log 10.0) (atan2 im re))
3.7b	(cbrt (/ (log 10.0) (atan2 im re)))
3.7b	(cbrt (/ (log 10.0) (atan2 im re)))
3.7b	(cbrt (/ (log 10.0) (atan2 im re)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod` `times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`pow1`
13×	`log-pow`
6×	`add-exp-log` `add-cbrt-cube`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ (log 10.0) (atan2 im re))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))

series376.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (log 10.0) (atan2 im re))
108.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
110.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
110.0ms	(cbrt (/ (log 10.0) (atan2 im re)))

simplify104.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 4 (93.0ms)

Iter	Nodes	Cost
0	117	908
1	292	862
2	752	856
3	2725	847
4	5001	846

prune332.0ms

Filtered

118 candidates to 82 candidates (69.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 0.0b

Counts

126 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (/ (sqrt (log 10.0)) 1))
3.7b	(cbrt (/ (log 10.0) (atan2 im re)))
3.7b	(cbrt (/ (log 10.0) (atan2 im re)))
4.4b	(cbrt (/ (sqrt (log 10.0)) (atan2 im re)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

82×	`cbrt-prod`
66×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
16×	`pow1`
12×	`log-pow`
4×	`add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 118

Calls

4 calls:

4.0ms	(cbrt (/ (sqrt (log 10.0)) 1))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
4.0ms	(cbrt (/ (sqrt (log 10.0)) (atan2 im re)))

series422.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt (/ (sqrt (log 10.0)) 1))
117.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
113.0ms	(cbrt (/ (log 10.0) (atan2 im re)))
192.0ms	(cbrt (/ (sqrt (log 10.0)) (atan2 im re)))

simplify90.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	226	1202
1	532	1162
2	1767	1123
3	3578	1067
4	5003	1067

prune377.0ms

Filtered

128 candidates to 77 candidates (60.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

regimes161.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end0.0ms

sample383.0ms

Algorithm

intervals

Results

240.0ms

8000×

body

valid