Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	47×	body	1280	valid
7.0ms	44×	body	640	valid
6.0ms	215×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	12×	body	160	valid

simplify3.0ms

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (cos im))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (exp re) (cos im))

simplify136.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	79	98
1	264	85
2	1020	85
3	4106	85
4	5002	85

prune40.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
0.0b	(* (sqrt (exp re)) (cos im))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

12.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series97.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
39.0ms	(* (sqrt (exp re)) (cos im))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify56.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	153	424
1	579	370
2	2130	368
3	5001	358

prune180.0ms

Filtered

87 candidates to 59 candidates (67.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (cos im))
0.2b	(sqrt (exp re))
0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `sqrt-prod`
6×	`add-exp-log` `cbrt-prod` `associate-l` `add-cbrt-cube`
4×	`sqrt-pow1` `add-log-exp`
3×	`exp-prod` `associate-r`
2×	`pow1/3` `unswap-sqr`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 60

Calls

4 calls:

10.0ms	(* (sqrt (exp re)) (cos im))
3.0ms	(sqrt (exp re))
3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))

series239.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (sqrt (exp re)) (cos im))
11.0ms	(sqrt (exp re))
75.0ms	(cbrt (exp re))
109.0ms	(cbrt (exp re))

simplify129.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	118	314
1	327	293
2	1039	288
3	4438	282
4	5003	282

prune209.0ms

Filtered

72 candidates to 52 candidates (72.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Merged error: 0b

Counts

75 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1`
6×	`pow1` `cbrt-prod` `exp-prod` `sqrt-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `pow1/3`

Counts

4 → 54

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series178.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
77.0ms	(cbrt (exp re))
77.0ms	(cbrt (exp re))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (43.0ms)

Iter	Nodes	Cost
0	67	224
1	116	212
2	266	208
3	1041	202
4	5001	198

prune242.0ms

Filtered

66 candidates to 50 candidates (75.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Merged error: 0b

Counts

69 → 3

regimes95.0ms

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	17	17
1	17	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

499.0ms	1592×	body	1280	valid
236.0ms	6938×	body	80	valid
233.0ms	1272×	body	640	valid
73.0ms	597×	body	320	valid
25.0ms	324×	body	160	valid