Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	51×	body	1280	valid
8.0ms	213×	body	80	valid
7.0ms	43×	body	640	valid
2.0ms	23×	body	320	valid
0.0ms	6×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`add-exp-log`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`prod-exp`
1×	`expm1-log1p-u` `pow-prod-down` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

5.0ms

(* (exp re) (sin im))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (exp re) (sin im))

simplify161.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	92	108
1	320	96
2	1137	96
3	4756	95
4	5001	95

prune33.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
22×	`associate-r` `sqrt-prod`
18×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 104

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
6.0ms	(* (sqrt (exp re)) (sin im))
16.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
51.0ms	(* (sqrt (exp re)) (sin im))
38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify77.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	217	668
1	832	574
2	3323	557
3	5002	548

prune190.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	115	4	119

Merged error: 0b

Counts

119 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
40×	`associate-r`
39×	`unswap-sqr`
38×	`associate-l`
37×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
11×	`cbrt-prod`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`*-commutative`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
1×	`rem-sqrt-square` `pow1/2`

Counts

4 → 140

Calls

4 calls:

6.0ms	(* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))
2.0ms	(sqrt (exp re))
6.0ms	(* (sqrt (exp re)) (sin im))
20.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re))))
12.0ms	(sqrt (exp re))
52.0ms	(* (sqrt (exp re)) (sin im))
102.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (sin im)))

simplify71.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	470	1681
1	2173	1565
2	5001	1555

prune338.0ms

Filtered

152 candidates to 100 candidates (65.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (* (* (fabs (cbrt (exp re))) (sqrt (sqrt (cbrt (exp re))))) (sqrt (sqrt (cbrt (exp re))))) (* (sqrt (exp re)) (sin im)))
0.0b	(* (* (fabs (cbrt (exp re))) (sqrt (sqrt (cbrt (exp re))))) (sqrt (sqrt (cbrt (exp re)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

447×	`add-sqr-sqrt`
327×	`sqrt-prod`
297×	`unswap-sqr`
127×	`associate-l`
70×	`associate-r`
59×	`cbrt-prod`
34×	`add-cube-cbrt` `*-un-lft-identity`
33×	`pow1`
32×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`*-commutative`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
1×	`rem-sqrt-square` `pow1/2`

Counts

4 → 282

Calls

4 calls:

2.0ms	(sqrt (exp re))
6.0ms	(* (sqrt (exp re)) (sin im))
46.0ms	(* (* (* (fabs (cbrt (exp re))) (sqrt (sqrt (cbrt (exp re))))) (sqrt (sqrt (cbrt (exp re))))) (* (sqrt (exp re)) (sin im)))
18.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (sqrt (cbrt (exp re))))) (sqrt (sqrt (cbrt (exp re)))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
48.0ms	(* (sqrt (exp re)) (sin im))
107.0ms	(* (* (* (fabs (cbrt (exp re))) (sqrt (sqrt (cbrt (exp re))))) (sqrt (sqrt (cbrt (exp re))))) (* (sqrt (exp re)) (sin im)))
97.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (sqrt (cbrt (exp re))))) (sqrt (sqrt (cbrt (exp re)))))

simplify124.0ms

Algorithm

egg-herbie

Counts

294 → 294

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	706	6125
1	3394	5180
2	5001	5146

prune551.0ms

Filtered

294 candidates to 150 candidates (51.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	294	3	297

Merged error: 0b

Counts

297 → 3

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

456.0ms	1547×	body	1280	valid
252.0ms	6970×	body	80	valid
197.0ms	1206×	body	640	valid
70.0ms	612×	body	320	valid
22.0ms	299×	body	160	valid