Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	45×	body	1280	valid
8.0ms	212×	body	80	valid
7.0ms	40×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	8×	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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (exp re) (sin im))

rewrite6.0ms

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:

6.0ms

(* (exp re) (sin im))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (exp re) (sin im))

simplify159.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune32.0ms

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

rewrite22.0ms

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:

6.0ms	(* (sqrt (exp re)) (sin im))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series113.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt (exp re)) (sin im))
37.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))

simplify60.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359

prune148.0ms

Filtered

87 candidates to 59 candidates (67.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (exp re)) 3)
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.3b	(cbrt (pow (sqrt (exp re)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `sqrt-prod`
12×	`unpow-prod-down` `sqrt-pow1` `cube-prod`
9×	`exp-prod`
8×	`pow1`
6×	`pow-pow`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow1/2`
2×	`cube-mult` `rem-sqrt-square` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 94

Calls

4 calls:

4.0ms	(pow (sqrt (exp re)) 3)
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
4.0ms	(cbrt (pow (sqrt (exp re)) 3))

series69.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (sqrt (exp re)) 3)
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
15.0ms	(cbrt (pow (sqrt (exp re)) 3))

simplify193.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	177	367
1	658	347
2	4697	322
3	5001	322

prune178.0ms

Filtered

106 candidates to 59 candidates (55.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (log (exp (sqrt (exp re)))) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.3b	(log (exp (sqrt (exp re))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

10.0ms	(* (sqrt (exp re)) (* (log (exp (sqrt (exp re)))) (sin im)))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
3.0ms	(log (exp (sqrt (exp re))))

series76.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (sqrt (exp re)) (* (log (exp (sqrt (exp re)))) (sin im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
15.0ms	(log (exp (sqrt (exp re))))

simplify108.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 4 (103.0ms)

Iter	Nodes	Cost
0	170	409
1	497	322
2	1180	322
3	3452	313
4	5002	307

prune165.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

regimes99.0ms

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	1496×	body	1280	valid
252.0ms	7024×	body	80	valid
215.0ms	1209×	body	640	valid
77.0ms	646×	body	320	valid
30.0ms	323×	body	160	valid