Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	51×	body	1280	valid
7.0ms	212×	body	80	valid
6.0ms	44×	body	640	valid
2.0ms	22×	body	320	valid
0.0ms	7×	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) (cos 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) (cos im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (cos im))

simplify135.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (132.0ms)

Iter	Nodes	Cost
0	83	107
1	286	95
2	1034	95
3	4173	95
4	5001	94

prune36.0ms

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: 0b

Counts

25 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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:

6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
13.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series102.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt (exp re)) (cos im))
12.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))
33.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify88.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	194	666
1	753	572
2	3081	556
3	5002	546

prune204.0ms

Filtered

116 candidates to 76 candidates (65.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(pow (* (exp re) (cos im)) 3)
0.3b	(cbrt (pow (* (exp re) (cos im)) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`unpow-prod-down`
19×	`add-sqr-sqrt`
17×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`add-exp-log`
9×	`associate-r` `associate-l`
8×	`pow1` `add-cbrt-cube`
4×	`pow-unpow` `prod-exp`
3×	`expm1-log1p-u` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-pow` `unpow3` `pow-prod-down` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3`

Counts

3 → 84

Calls

3 calls:

5.0ms	(* (exp re) (cos im))
6.0ms	(pow (* (exp re) (cos im)) 3)
6.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

series130.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (exp re) (cos im))
56.0ms	(pow (* (exp re) (cos im)) 3)
36.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	245	464
1	1038	444
2	5002	438

prune131.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes79.0ms

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

sample1.1s

Algorithm

intervals

Results

437.0ms	1543×	body	1280	valid
211.0ms	6974×	body	80	valid
185.0ms	1208×	body	640	valid
61.0ms	615×	body	320	valid
20.0ms	296×	body	160	valid